2016 Electrochemistry Gordon Research Conference and Gordon Research Seminar
2016-02-23
2016 Electrochemistry Gordon Research Conference & Gordon Research Seminar Operational Summary The Gordon Research Conference (GRC) and Gordon...Research Seminar (GRS) on Electrochemistry were held at the Ventura Beach Marriott in Ventura, California from January 9-15, 2016. The meeting covered...TO THE ABOVE ADDRESS. Gordon Research Conferences, Inc. 512 Liberty Lane West Kingston, RI 02892 -1502 ABSTRACT Final Report: 2016 Electrochemistry
David C.Brown; Sten Tornegrd; Joseph Kolis
2016-01-01
Using cryogenic laser technology, it is now possible to design and demonstrate lasers that have concomitant high average and peak powers, with near-diffraction-limited beam quality. We refer to these new laser systems as HAPP lasers. In this paper, we review important laser crystal materials properties at cryogenic temperature, with an emphasis on Yb lasers, and discuss the important design considerations, including the laser-induced damage threshold, nonlinear effects and thermal effects. A comprehensive model is presented to describe diode pulsed pumping with arbitrary duration and repetition rate, and is used with the Frantz–Nodvik equation to describe, to first order, the performance of HAPP laser systems. A computer code with representative results is also described.
Obituary: Gordon Donaldson Obituary: Gordon Donaldson
Pegrum, Colin; Campbell, Archie; Hampshire, Damian
2013-07-01
Gordon Donaldson died in Glasgow on 28 November 2012 at the age of 71. He was born in Edinburgh and brought up and educated in Glasgow, which was his home city for much of his life. He was educated first at Glasgow Academy, and then with a scholarship at Christ's College Cambridge. Here he read Natural Sciences, finishing with first class honors in Physics. He then did a PhD on tunneling in superconductors in the Mond Laboratory, supervised by John Adkins. These were interesting times, since type II superconductors had only recently been identified, and the Mond was a leading player in the physics of vortices and other quantum effects. It was headed by Pippard and Shoenberg, and colleagues around that time were Brian Josephson, John Clarke, Colin Gough and John Waldram. On finishing his PhD in 1966 Gordon went straight to a lectureship at the University of Lancaster. In 1975 during a sabbatical at the University of California, Berkeley, with John Clarke's group, Gordon co-invented thin-film gradiometers with integrated DC SQUIDs. He then moved back to Glasgow, to the Department of Applied Physics at Strathclyde University, where he founded a new research group to make and use superconducting devices, especially SQUIDs and gradiometers. From modest beginnings the group grew steadily, acquiring new facilities and members, until in the 1990s it had over 20 members and a host of collaborators from elsewhere in Glasgow and abroad. With funding from the Wellcome Trust, Gordon and colleagues at Glasgow University and the Southern General Hospital in Glasgow set up a new biomagnetism facility in 1998 on the hospital campus to use SQUID gradiometers made at Strathclyde for measurements on patients and volunteers. Another of his main research interests was the use of SQUIDs for nondestructive evaluation (NDE). This started in the days before high temperature superconductors (HTS) with wire-wound gradiometers and niobium SQUIDs, soon moving on to miniature thin-film niobium
Walker, Theodore, Jr.
2012-06-01
Traditionally, astronomy met theology and political ethics in almanacs. As presented in early New England almanacs of the farmer's type, astronomy was deity-affirming and liberty-oriented. The old English label for astronomy that affirms theology was "Astro-theology" (William Derham, 1715). The New England rendering of astro-theology was so strongly oriented towards liberty that it can now be labeled astro-liberation theology. This 21st century label is appropriate because 18th century New England printers and astronomers used astronomy to demonstrate the glory of the Creator (astro-theology) and to encourage liberation from colonialism and slavery (astro-liberation theology). A philosophy of astronomy as "useful knowledge' expressed by David Rittenhouse in 1775 - and implicit in a Benjamin Banneker almanac for 1792 - included liberty-oriented visions of planet Earth as seen from outer space, and liberty-oriented visions of intelligent life on other planets orbiting other stars.
Melinda E Lull
Full Text Available BACKGROUND: NADPH oxidase is implicated in neurotoxic microglial activation and the progressive nature of Alzheimer's Disease (AD. Here, we test the ability of two NADPH oxidase inhibitors, apocynin and dextromethorphan (DM, to reduce learning deficits and neuropathology in transgenic mice overexpressing human amyloid precursor protein with the Swedish and London mutations (hAPP(751(SL. METHODS: Four month old hAPP(751(SL mice were treated daily with saline, 15 mg/kg DM, 7.5 mg/kg DM, or 10 mg/kg apocynin by gavage for four months. RESULTS: Only hAPP(751(SL mice treated with apocynin showed reduced plaque size and a reduction in the number of cortical microglia, when compared to the saline treated group. Analysis of whole brain homogenates from all treatments tested (saline, DM, and apocynin demonstrated low levels of TNFα, protein nitration, lipid peroxidation, and NADPH oxidase activation, indicating a low level of neuroinflammation and oxidative stress in hAPP(751(SL mice at 8 months of age that was not significantly affected by any drug treatment. Despite in vitro analyses demonstrating that apocynin and DM ameliorate Aβ-induced extracellular superoxide production and neurotoxicity, both DM and apocynin failed to significantly affect learning and memory tasks or synaptic density in hAPP(751(SL mice. To discern how apocynin was affecting plaque levels (plaque load and microglial number in vivo, in vitro analysis of microglia was performed, revealing no apocynin effects on beta-amyloid (Aβ phagocytosis, microglial proliferation, or microglial survival. CONCLUSIONS: Together, this study suggests that while hAPP(751(SL mice show increases in microglial number and plaque load, they fail to exhibit elevated markers of neuroinflammation consistent with AD at 8 months of age, which may be a limitation of this animal model. Despite absence of clear neuroinflammation, apocynin was still able to reduce both plaque size and microglial number
Generalized sine-Gordon solitons
Santos, C dos [Centro de Fisica e Departamento de Fisica e Astronomia, Faculdade de Ciencias da Universidade do Porto, 4169-007 Porto (Portugal); Rubiera-Garcia, D, E-mail: cssilva@fc.up.pt, E-mail: rubieradiego@gmail.com [Departamento de Fisica, Universidad de Oviedo, Avenida Calvo Sotelo 18, 33007 Oviedo, Asturias (Spain)
2011-10-21
In this paper, we construct analytical self-dual soliton solutions in (1+1) dimensions for two families of models which can be seen as generalizations of the sine-Gordon system but where the kinetic term is non-canonical. For that purpose we use a projection method applied to the sine-Gordon soliton. We focus our attention on the wall and lump-like soliton solutions of these k-field models. These solutions and their potentials reduce to those of the Klein-Gordon kink and the standard lump for the case of a canonical kinetic term. As we increase the nonlinearity on the kinetic term the corresponding potentials get modified and the nature of the soliton may change, in particular, undergoing a topology modification. The procedure constructed here is shown to be a sort of generalization of the deformation method for a specific class of k-field models. (paper)
1989-01-01
C. Gordon Fullerton is a research pilot at NASA's Dryden Flight Research Center, Edwards, California. His assignments include a variety of flight research and support activities piloting NASA's B-52 launch aircraft, the 747 Shuttle Carrier Aircraft (SCA), and other multi-engine and high performance aircraft. Fullerton, who has logged 382 hours in space flight, was a NASA astronaut from September 1969 until November 1986 when he joined the Flight Crew Branch at Dryden. In July 1988, he completed a 30-year career with the U.S. Air Force and retired as a colonel. As the project pilot on the NASA B-52 launch aircraft, Fullerton flew during the first six air launches of the commercially developed Pegasus space vehicle. He was involved in a series of development air launches of the X-38 Crew Recovery Vehicle and in the Pegasus launch of the X-43A Hyper-X advanced propulsion project. Fullerton also flies Dryden's DC-8 Airborne Science aircraft, regularly deployed worldwide to support a variety of research studies, including atmospheric physics, ground mapping and meteorology. In addition to these current activities, Fullerton has been involved in numerous other research programs at Dryden. He was the project pilot on the Propulsion Controlled Aircraft program, during which he successfully landed both a modified F-15 and an MD-11 transport with all control surfaces neutralized, using only engine thrust modulation for control. Assigned to evaluate the flying qualities of the Russian Tu-144 supersonic transport during two flights in 1998, he reached a speed of Mach 2 and became one of only two non-Russian pilots to fly that aircraft. He piloted a Convair 990 modified to test space shuttle landing gear components during many very high-speed landings. Other projects for which he has flown in the past include the C-140 JetStar Laminar Flow Control; F-111 Mission Adaptive Wing; F-14 Variable Sweep Flow Transition; Space Shuttle drag chute and F-111 crew module parachute tests
GORDON SYNDROME: A CASE REPORT
Rita
2015-03-01
Full Text Available BACKGROUND: Gordon Syndrome is an extremely rare disorder and it is part of a group of genetic disorders known as Arthrogryposis multiplex congenita. There are congenital contractures in at least two or more areas of body. Gordon Syndrome is characterized by congenital Camptodactyly, Clubfoot and Cleft Palate. CASE CHARACTERISTICS: One month female baby presented with congenital distal contra ctures in hands ( C amptodactyly, talipes equinovarus deformity in both lower limbs ( C lub feet, hyperextension of left leg at knee joint, central cleft palate, oral thrush. INTERVENTION: Treatment of oral thrush, feeding advice and physiotherapy. OUTCOME: Relieved of oral thrush, weight gain started and attached to Plastic Surgery, Orthopedic and Physiotherapy Specialties. MESSAGE: Sporadic cases of this rare disorder do occur and not many cases have been reported from India.
Bajnok, Z; Takács, G
2002-01-01
We review our recent results on the on-shell description of sine-Gordon model with integrable boundary conditions. We determined the spectrum of boundary states together with their reflection factors by closing the boundary bootstrap and checked these results against WKB quantization and numerical finite volume spectra obtained from the truncated conformal space approach. The relation between a boundary resonance state and the semiclassical instability of a static classical solution is analyzed in detail.
Freed, Jenny; McBean, Kirsty; Adams, Catherine; Lockton, Elaine; Nash, Marysia; Law, James
2015-01-01
This study investigated whether a modified scoring method was useful for examining the ability of children with social communication disorder (CwSCD) to understand non-literal language and use mental state responses on the Happé Strange Stories (HSS) task. CwSCD and a control group of children with typical language development (CwTLD) completed 10 of the original HSS. CwSCD scored significantly lower on the HSS task than did CwTLD and were much less likely to produce mental state responses. There was a high level of inter-rater reliability (Weighted Kappa=0.907) across data from both groups. HSS performance and language ability correlated significantly for CwSCD. A regression model with age, nonverbal intelligence, receptive and expressive language as predictors explained 55.2% of the variance in HSS ability for CwSCD. The results suggest that the HSS have potential to be used as a clinical assessment to investigate high-level language and ability to infer intent in CwSCD. Readers will be able to describe a modified scoring method for the Happé Strange Stories task. Readers will be able to identify areas of impairment for children with social communication disorder. Readers will identify how these areas of impairment have an effect on ability to understand non-literal language and produce mental state responses on the Happé Strange Stories task. Copyright © 2015 Elsevier Inc. All rights reserved.
Levit, Alexander; Regis, Aaron M; Garabon, Jessica R; Oh, Seung-Hun; Desai, Sagar J; Rajakumar, Nagalingam; Hachinski, Vladimir; Agca, Yuksel; Agca, Cansu; Whitehead, Shawn N; Allman, Brian L
2017-08-30
Alzheimer disease (AD) and stroke coexist and interact; yet how they interact is not sufficiently understood. Both AD and basal ganglia stroke can impair behavioural flexibility, which can be reliably modeled in rats using an established operant based set-shifting test. Transgenic Fischer 344-APP21 rats (TgF344) overexpress pathogenic human amyloid precursor protein (hAPP) but do not spontaneously develop overt pathology, hence TgF344 rats can be used to model the effect of vascular injury in the prodromal stages of Alzheimer disease. We demonstrate that the injection of endothelin-1 (ET1) into the dorsal striatum of TgF344 rats (Tg-ET1) produced an exacerbation of behavioural inflexibility with a behavioural phenotype that was distinct from saline-injected wildtype & TgF344 rats as well as ET1-injected wildtype rats (Wt-ET1). In addition to profiling the types of errors made, interpolative modeling using logistic exposure-response regression provided an informative analysis of the timing and efficiency of behavioural flexibility. During set-shifting, Tg-ET1 committed fewer perseverative errors than Wt-ET1. However, Tg-ET1 committed significantly more regressive errors and had a less efficient strategy change than all other groups. Thus, behavioural flexibility was more vulnerable to striatal ischemic injury in TgF344 rats. Copyright © 2017 Elsevier B.V. All rights reserved.
2013-01-01
We were deeply saddened to learn that Gordon Fraser had passed away on 3 January. During his 25-year career at CERN, until his retirement in 2002, he made many valuable contributions to the Laboratory, in particular as editor of CERN Courier. Gordon’s life in science began at Imperial College London, where he obtained a PhD with the theory group of the future Nobel laureate Abdus Salam. He then spent time at Tel Aviv University in Yuval Ne’eman’s group and at Brighton University, before changing career to become a journalist, at first for Computer Weekly in London. He moved into scientific editing at the Rutherford Appleton Laboratory in 1975 and it was from there that he was hired to join the publications team at CERN in 1977. By 1982 Gordon had become the editor of the CERN Courier. During his time at the helm, both particle physics and the Courier changed considerably. Under his careful stewardship aspects of publishing were outsourced, leading to a...
Del Percio, Claudio; Drinkenburg, Wilhelmus; Lopez, Susanna; Limatola, Cristina; Bastlund, Jesper F; Christensen, Ditte Zerlang; Pedersen, Jan T; Forloni, Gianluigi; Frasca, Angelisa; Noè, Francesco M; Bentivoglio, Marina; Fabene, Paolo F; Bertini, Giuseppe; Colavito, Valeria; Dix, Sophie; Ferri, Raffaele; Bordet, Regis; Richardso, Jill C; Babiloni, Claudio
2017-07-04
It has been shown that theta (6-10 Hz) and delta (1-6 Hz) ongoing electroencephalographic (EEG) rhythms revealed variations in the cortical arousal in C57 Wild Type (WT) mice during cage exploration (active condition) compared to awake quiet behavior (passive condition; IMI PharmaCog project, www.pharmacog.eu). Test if these EEG rhythms might be abnormal in old PDAPP mice modeling Alzheimer's disease (AD) with a hAPP Indiana V717F mutation (They show abnormal neural transmission, cognitive deficits, and brain accumulation of Aβ1-42). Ongoing EEG rhythms were recorded by a frontoparietal bipolar channel in 15 PDAPP and 23 WT C57 male mice (mean age of 22.8 months ±0.4 and 0.3 standard error, respectively). EEG absolute power (density) was calculated. Frequency and amplitude of individual delta and theta frequency (IDF and ITF) peaks were considered during passive and active states in the wakefulness. Compared with the WT group, the PDAPP group showed higher frequency of the IDF during the passive condition and lower frequency of the ITF during the active state. Furthermore, the WT but not PDAPP group showed significant changes in the frontoparietal EEG power (IDF, ITF) during active over passive state. PDAPP mice were characterized by less changes in the brain arousal during an active state as revealed by frontoparietal EEG rhythms. Future studies will have to cross-validate the present results on large animal groups, clarify the neurophysiological underpinning of the effect, and test if the disease modifying drugs against AD amyloidosis normalize those candiate EEG biomarkers in PDAPP mice. Copyright© Bentham Science Publishers; For any queries, please email at epub@benthamscience.org.
Gordon honored for trail-blazing work
Naval Postgraduate School
2014-01-01
The Naval Postgraduate School & The U.S. Department of Homeland Security, Center for Homeland Defense and Security Gender bias put Ellen Gordon on an unexpected career path. She ended up blazing a trail. Gordon, a Center for Homeland Defense and Security, Naval Postgraduate School graduate and associate director, was inducted into the International Network of Women in Emergency Management and Homeland Security (inWEM) Hall of Fame during the group’s conference held i...
Gravity localization in sine-Gordon braneworlds
Cruz, W T; Sousa, L J S; Almeida, C A S
2016-01-01
In this work we study two types of five-dimensional braneworld models given by sine-Gordon potentials. In both scenarios, the thick brane is generated by a real scalar field coupled to gravity. We focus our investigation on the localization of graviton field and the behaviour of the massive spectrum. In particular, we analyse the localization of massive modes by means of a relative probability method in a Quantum Mechanics context. Initially, considering a scalar field sine-Gordon potential, we find a resonance to the graviton at zero mode. However, when we consider a double sine-Gordon potential, the brane structure is changed allowing the existence of massless and massive resonant states. The new results show how the existence of an internal structure can aid in the emergence of massive resonant modes on the brane.
Gravity localization in sine-Gordon braneworlds
Cruz, W.T., E-mail: wilamicruz@gmail.com [Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE), Campus Juazeiro do Norte, 63040-540 Juazeiro do Norte, Ceará (Brazil); Maluf, R.V., E-mail: r.v.maluf@fisica.ufc.br [Departamento de Física, Universidade Federal do Ceará (UFC), C.P. 6030, 60455-760 Fortaleza, Ceará (Brazil); Sousa, L.J.S., E-mail: luisjose@fisica.ufc.br [Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE), Campus Canindé, 62700-000 Canindé, Ceará (Brazil); Almeida, C.A.S., E-mail: carlos@fisica.ufc.br [Departamento de Física, Universidade Federal do Ceará (UFC), C.P. 6030, 60455-760 Fortaleza, Ceará (Brazil)
2016-01-15
In this work we study two types of five-dimensional braneworld models given by sine-Gordon potentials. In both scenarios, the thick brane is generated by a real scalar field coupled to gravity. We focus our investigation on the localization of graviton field and the behaviour of the massive spectrum. In particular, we analyse the localization of massive modes by means of a relative probability method in a Quantum Mechanics context. Initially, considering a scalar field sine-Gordon potential, we find a localized state to the graviton at zero mode. However, when we consider a double sine-Gordon potential, the brane structure is changed allowing the existence of massive resonant states. The new results show how the existence of an internal structure can aid in the emergence of massive resonant modes on the brane.
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
Tomoki Nakanishi
2010-10-01
Full Text Available We study the family of Y-systems and T-systems associated with the sine-Gordon models and the reduced sine-Gordon models for the parameter of continued fractions with two terms. We formulate these systems by cluster algebras, which turn out to be of finite type, and prove their periodicities and the associated dilogarithm identities which have been conjectured earlier. In particular, this provides new examples of periodicities of seeds.
Gordon Research Conference on Chronobiology, 1991
1992-07-31
Bromage (Univ. of Stirling) Elena Thomas (Berkeley) Fred Karsch (Ann Arbor) Gordon Conference on Chronobiology 1991 Irsee, Germany/September 29...Berkeley) Fred Karsch (Ann Arbor) Acee’.sin For ; D Iqt. C Dilst S 7o;;a I~ : Ijj I
2008-01-01
Gordon Lennox Munday, one of the leading figures in CERN accelerator physics, passed away on 28 July. Gordon Munday first came to CERN in 1955 where he joined the team led by John Adams responsible for building CERN’s Proton Synchrotron, the PS. He was put in charge of the construction of the vacuum system for the future accelerator. Shortly after the start-up of the PS, he created a group with the task of assisting user physicists to prepare and carry out their experiments. His team managed the experimental areas, and designed, set up and operated the beams in which the physicists installed their experiments at the facility. This activity was crucial since it entailed implementing the experimental programme decided by the Management as well as possible while taking account of the technical constraints specified by the accelerator engineers and meeting the physicists’ sometimes contradictory requirements. The third phase of hi...
Quarkonium spectroscopy by Klein-Gordon equation
Haghighat, M; Dadkhah, A
2000-01-01
A model is proposed to obtain the q q spectra by using a generalized Klein-Gordon equation for a two-body system. A variety of different potentials are coupled to the mass term of the generalized equation. The eigenvalues and the corresponding mass spectra are evaluated by using numerical and analytical methods. The resulting spectra match dosely with experimental data. The obtained values are also compared with those of models such as quasipotential equation (Q PE).
Klein-Gordon and Dirac gyroscopes
SadurnI, E [Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, Cuernavaca, Morelos (Mexico)], E-mail: sadurni@fis.unam.mx
2009-01-09
The formulation of a rigid body in relativistic quantum mechanics is studied. Departing from an alternate approach at the relativistic classical level, the corresponding Klein-Gordon and Dirac operators for the rigid body are obtained in covariant form. The resulting wave equations are shown to be consistent, by construction, with earlier definitions of a relativistic rigid body by Aldinger et al (1983 Phys. Rev. D 28 3020). Wavefunctions and spectra for both cases are obtained explicitly, including the Dirac gyroscope with asymmetries.
Exact renormalization group and Sine Gordon theory
Oak, Prafulla; Sathiapalan, B.
2017-07-01
The exact renormalization group is used to study the RG flow of quantities in field theories. The basic idea is to write an evolution operator for the flow and evaluate it in perturbation theory. This is easier than directly solving the differential equation. This is illustrated by reproducing known results in four dimensional ϕ 4 field theory and the two dimensional Sine-Gordon theory. It is shown that the calculation of beta function is somewhat simplified. The technique is also used to calculate the c-function in two dimensional Sine-Gordon theory. This agrees with other prescriptions for calculating c-functions in the literature. If one extrapolates the connection between central charge of a CFT and entanglement entropy in two dimensions, to the c-function of the perturbed CFT, then one gets a value for the entanglement entropy in Sine-Gordon theory that is in exact agreement with earlier calculations (including one using holography) in arXiv:1610.04233.
Time-Periodic Einstein--Klein--Gordon Bifurcations of Kerr
Chodosh, Otis
2015-01-01
We construct one-parameter families of solutions to the Einstein--Klein--Gordon equations bifurcating off the Kerr solution such that the underlying family of spacetimes are each an asymptotically flat, stationary, axisymmetric, black hole spacetime, and such that the corresponding scalar fields are non-zero and time-periodic. An immediate corollary is that for these Klein--Gordon masses, the Kerr family is not asymptotically stable as a solution to the Einstein--Klein--Gordon equations.
Klein-Gordon oscillators in noncommutative phase space
WANG Jian-Hua; LI Kang; Dulat Sayipjamal
2008-01-01
We study the Klein-Gordon oscillators in non-commutative (NC) phase space.We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field.By solving the Klein-Gordon equation in NC phase space,we obtain the energy levels of the Klein-Gordon oscillators,where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.
Travelling Wave Solutions to the m-KdV-Sine-Gordon Equation and the m-KdV-Sinh-Gordon Equation
LI Er-qiang; CHEN Jin-lan
2013-01-01
By using the function transformation and proper Sub-ODE,exact travelling wave solutions of the m-KdV-Sine-Gordon and the m-KdV-Sinh-Gordon equation are obtained,from which exact travelling wave solutions of the m-KdV equation,the Sine-Gordon equation and the Sinh-Gordon equation are derived.
2011 Clusters, Nanocrystals & Nanostructures Gordon Research Conference
Lai-Sheng Wang
2011-07-29
Small particles have been at the heart of nanoscience since the birth of the field and now stand ready to make significant contributions to the big challenges of energy, health and sustainability. Atomic clusters show exquisite size-dependent electronic and magnetic properties and offer a new level of control in catalyses, sensors and biochips; functionalised nanocrystals offer remarkable optical properties and diverse applications in electronic devices, solar energy, and therapy. Both areas are complemented by a raft of recent advances in fabrication, characterization, and performance of a diversity of nanomaterials from the single atom level to nanowires, nanodevices, and biologically-inspired nanosystems. The goal of the 2011 Gordon Conference is thus to continue and enhance the interdisciplinary tradition of this series and discuss the most recent advances, fundamental scientific questions, and emerging applications of clusters, nanocrystals, and nanostructures. A single conference covering all aspects of nanoscience from fundamental issues to applications has the potential to create new ideas and stimulate cross fertilization. The meeting will therefore provide a balance among the three sub-components of the conference, true to its title, with a selection of new topics added to reflect rapid advances in the field. The open atmosphere of a Gordon conference, emphasizing the presentation of unpublished results and extensive discussions, is an ideal home for this rapidly developing field and will allow all participants to enjoy a valuable and stimulating experience. Historically, this Gordon conference has been oversubscribed, so we encourage all interested researchers from academia, industry, and government institutions to apply as early as possible. We also encourage all attendees to submit their latest results for presentation at the poster sessions. We anticipate that several posters will be selected for 'hot topic' oral presentations. Given the
Quakonium spectroscopy by Klein-Gordon equation
M. Haghighat B Mirza
2000-06-01
Full Text Available A model is proposed to obtain the qq spectra by using a generalized Klein-Gordon equation for a two-body system. A variety of different potentials are coupled to the mass term of the generalized equation. The eigenvalues and the corresponding mass spectra are evaluated by using numerical and analytical methods. The resulting spectra match dosely with the experimental data. The obtained values are also compared with those of models such as quasipotential equation (QPE.
Psychometric Testing of the Gordon Facial Muscle Weakness Assessment Tool
Gordon, Shirley C.; Blum, Cynthia Ann; Parcells, Dax Andrew
2010-01-01
School nurses may be the first health professionals to assess the onset of facial paralysis/muscle weakness in school-age children. The purpose of this study was to test the psychometric properties of the Gordon Facial Muscle Weakness Assessment Tool (GFMWT) developed by Gordon. Data were collected in two phases. In Phase 1, 4 content experts…
Bunched soliton states in weakly coupled sine-Gordon systems
Grønbech-Jensen, N.; Samuelsen, Mogens Rugholm; Lomdahl, P. S.
1990-01-01
The interaction between solitons of two weakly coupled sine-Gordon systems is considered. In particular, the stability of bunched states is investigated, and perturbation results are compared with numerical results.......The interaction between solitons of two weakly coupled sine-Gordon systems is considered. In particular, the stability of bunched states is investigated, and perturbation results are compared with numerical results....
The 40th AAAS Gordon Conference on nuclear chemistry
Seaborg, G.T.
1991-06-27
I am pleased to speak at the Fortieth Gordon Conference on Nuclear Chemistry. I served as Chairman of the first Gordon Conference on Nuclear Chemistry held June 23--27, 1952, at New Hampton, New Hampshire. In my remarks, during which I shall quote from my journal, I shall describe some of the background leading up to the first Gordon Conference on Nuclear Chemistry and my attendance at the first seven Gordon Conferences during the period 1952 through 1958. I shall also quote my description of my appearance as the featured speaker at the Silver Anniversary of the Gordon Research Conferences on December 27, 1956 held at the Commodore Hotel in New York City. I shall begin with reference to my participation in the predecessor to the Gordon Conferences, the Gibson Island Research Conferences 45 years ago, on Thursday, June 20, 1946, as a speaker. This was 15 years after the start of these conferences in 1931. Neil Gordon played a leading role in these conferences, which were named (in 1948) in his honor -- the Gordon Research Conferences -- soon after they were moved to Colby Junior College, New London, New Hampshire in 1947. W. George Parks became Director in 1947, Alexander Cruickshank became Assistant Director in 1947 and Director in 1968.
Exact Jacobian Elliptic Function Solutions to sinh-Gordon Equation
FU Zun-Tao; LIU Shi-Kuo; LIU Shi-Da
2006-01-01
In this paper, two transformations are introduced to solve sinh-Gordon equation by using the knowledge of elliptic equation and Jacobian elliptic functions.It is shown that different transformations are required in order to obtain more kinds of solutions to the sinh-Gordon equation.
Thomas Gordon's Communicative Pedagogy in Modern Educational Realities
Leshchenko, Maria; Isaieva, Svitlana
2014-01-01
In the article the principles, strategies, methods, techniques of communicative pedagogy of American scientist Thomas Gordon and system components of effective communication training for parents, teachers and administrators are enlightened. It has been determined that the main principle of Thomas Gordon's pedagogy is an interactive way of knowing…
2012 BATTERIES GORDON RESEARCH CONFERENCE, MARCH 4-9, 2012
Stephen Harris
2012-03-09
The Gordon Research Conference on BATTERIES was held at Four Points Sheraton / Holiday Inn Express, Ventura, California, March 4-9, 2012. The Conference was well-attended with 176 participants. Gordon Research Conferences does not permit publication of meeting proceedings.
Radial sine-Gordon kinks as sources of fast breathers
Caputo, Jean Guy; Sørensen, Mads Peter
2013-01-01
We consider radial sine-Gordon kinks in two, three, and higher dimensions. A full two-dimensional simulation showing that azimuthal perturbations remain small allows us to reduce the problem to the one-dimensional radial sine-Gordon equation. We solve this equation on an interval [r, r1] and abso...
The Geometrodynamics of Sine-Gordon Solitons
Gegenberg, J
1998-01-01
The relationship between N-soliton solutions to the Euclidean sine-Gordon equation and Lorentzian black holes in Jackiw-Teitelboim dilaton gravity is investigated, with emphasis on the important role played by the dilaton in determining the black hole geometry. We show how an N-soliton solution can be used to construct ``sine-Gordon'' coordinates for a black hole of mass M, and construct the transformation to more standard ``Schwarzchild-like'' coordinates. For N=1 and 2, we find explicit closed form solutions to the dilaton equations of motion in soliton coordinates, and find the relationship between the soliton parameters and the black hole mass. Remarkably, the black hole mass is non-negative for arbitrary soliton parameters. In the one-soliton case the coordinates are shown to cover smoothly a region containing the whole interior of the black hole as well as a finite neighbourhood outside the horizon. A Hamiltonian analysis is performed for slicings that approach the soliton coordinates on the interior, a...
Kondo, Kenichi
2013-11-01
Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon equation has already been proposed by previous studies, but the equation and the solutions obtained here are considered to directly correspond to the discrete counterpart. We also propose a noncommutative discrete analogue of the sine-Gordon equation, reveal its relations to other integrable systems including the noncommutative discrete KP equation, and construct multisoliton solutions by a repeated application of Darboux transformations. Moreover, we derive a noncommutative ultradiscrete analogue of the sine-Gordon equation and its 1-soliton and 2-soliton solutions, using the symmetrized max-plus algebra. As a result, we have a complete set of commutative and noncommutative versions of continuous, discrete, and ultradiscrete sine-Gordon equations.
Kenichi Kondo
2013-11-01
Full Text Available Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon equation has already been proposed by previous studies, but the equation and the solutions obtained here are considered to directly correspond to the discrete counterpart. We also propose a noncommutative discrete analogue of the sine-Gordon equation, reveal its relations to other integrable systems including the noncommutative discrete KP equation, and construct multisoliton solutions by a repeated application of Darboux transformations. Moreover, we derive a noncommutative ultradiscrete analogue of the sine-Gordon equation and its 1-soliton and 2-soliton solutions, using the symmetrized max-plus algebra. As a result, we have a complete set of commutative and noncommutative versions of continuous, discrete, and ultradiscrete sine-Gordon equations.
Gewirth, Andrew
2013-08-03
The 2012 Gordon Conference on Electrodeposition: Electrochemical Materials Synthesis and Applications will present cutting-edge research on electrodeposition with emphasis on (i) advances in basic science, (ii) developments in next-generation technologies, and (iii) new and emerging areas. The Conference will feature a wide range of topics, from atomic scale processes, nucleation and growth, thin film deposition, and electrocrystallization, to applications of electrodeposition in devices including microelectronics, batteries, solar energy, and fuel cells.
Gewirth, Andrew
2013-08-03
The 2012 Gordon Conference on Electrodeposition: Electrochemical Materials Synthesis and Applications will present cutting-edge research on electrodeposition with emphasis on (i) advances in basic science, (ii) developments in next-generation technologies, and (iii) new and emerging areas. The Conference will feature a wide range of topics, from atomic scale processes, nucleation and growth, thin film deposition, and electrocrystallization, to applications of electrodeposition in devices including microelectronics, batteries, solar energy, and fuel cells.
The 2013 Clusters, Nanocrystals & Nanostructures Gordon Research Conference/Gordon Research Seminar
Krauss, Todd D. [University of Rochester
2014-11-25
The fundamental properties of small particles and their potential for groundbreaking applications are among the most exciting areas of study in modern physics, chemistry, and materials science. The Clusters, Nanocrystals & Nanostructures Gordon ResearchConference and Gordon Research Seminar synthesize contributions from these inter-related fields that reflect the pivotal role of nano-particles at the interface between these disciplines. Size-dependent optical, electronic, magnetic and catalytic properties offer prospects for applications in many fields, and possible solutions for many of the grand challenges facing energy generation, consumption, delivery, and storage in the 21st century. The goal of the 2013 Clusters, Nanocrystals & Nanostructures Gordon Research Conference and Gordon Research Seminar is to continue the historical interdisciplinary tradition of this series and discuss the most recent advances, basic scientific questions, and emerging applications of clusters, nanocrystals, and nanostructures. The Clusters, Nanocrystals & Nanostructures GRC/GRS traditionally brings together the leading scientific groups that have made significant recent advances in one or more fundamental nanoscience or nanotechnology areas. Broad interests of the DOE BES and Solar Photochemistry Program addressed by this meeting include the areas of solar energy to fuels conversion, new photovoltaic systems, fundamental characterization of nanomaterials, magnetism, catalysis, and quantum physics. The vast majority of speakers and attendees will address either directly the topic of nanotechnology for photoinduced charge transfer, charge transport, and catalysis, or will have made significant contributions to related areas that will impact these fields indirectly. These topics have direct relevance to the mission of the DOE BES since it is this cutting-edge basic science that underpins our energy future.
2011 GASEOUS IONS GORDON RESEARCH CONFERENCE
Scott Anderson
2011-03-04
The Gaseous Ions: Structures, Energetics and Reactions Gordon Research Conference will focus on ions and their interactions with molecules, surfaces, electrons, and light. The conference will cover theory and experiments, and systems ranging from molecular to biological to clusters to materials. The meeting goal continues to be bringing together scientists interested in fundamentals, with those applying fundamental phenomena to a wide range of practical problems. Each of the ten conference sessions will focus on a topic within this spectrum, and there will also be poster sessions for contributed papers, with sufficient space and time to allow all participants to present their latest results. To encourage active participation by young investigators, about ten of the poster abstracts will be selected for 15 minute 'hot topic' talks during the conference sessions. Hot topic selection will be done about a month before the meeting. Funds should be available to offset the participation cost for young investigators.
Vortex Strings and Nonabelian sine-Gordon Theories
Park, Q H
1999-01-01
We generalize the Lund-Regge model for vortex string dynamics in 4-dimensional Minkowski space to the arbitrary n-dimensional case. The n-dimensional vortex equation is identified with a nonabelian sine-Gordon equation and its integrability is proven by finding the associated linear equations of the inverse scattering. An explicit expression of vortex coordinates in terms of the variables of the nonabelian sine-Gordon system is derived. In particular, we obtain the n-dimensional vortex soliton solution of the Hasimoto-type from the one soliton solution of the nonabelian sine-Gordon equation.
A unified approach in seeking the solitary wave solutions to sine-Gordon type equations
Xie Yuan-Xi; Tang Jia-Shi
2005-01-01
By utilizing the solutions of an auxiliary ordinary differential equation introduced in this paper, we present a simple and direct method to uniformly construct the exact solitary wave solutions for sine-Gordon type equations.As illustrative examples, the exact solitary wave solutions of some physically significant sine-Gordon type equations,including the sine-Gordon equation, double sine-Gordon equation and mKdV-sine-Gordon equation, are investigated by means of this method.
NOAA Ship Gordon Gunter Underway Meteorological Data, Near Real Time
National Oceanic and Atmospheric Administration, Department of Commerce — NOAA Ship Gordon Gunter Underway Meteorological Data (Near Real Time, updated daily) are from the Shipboard Automated Meteorological and Oceanographic System (SAMOS)...
Gordon Browni valitsuslaevuke sõitis karidele / Heiki Suurkask
Suurkask, Heiki, 1972-
2008-01-01
Briti peaministri Gordon Browni partei kaotas Inglismaa ja Walesi kohalikel valimistel. Autori väitel võis kõige rängema hoobi valitsusele anda madalaima, 10-protsendilise tulumaksumäära kaotamine
Pilved Gordon Browni tuleviku kohal aina tumenevad / Hendrik Vosman
Vosman, Hendrik
2008-01-01
Briti peaministri Gordon Brownile on parlamendis opositsioonis olevad toorid suutnud oma edumaad leiboristide ees suurendada juba 28 %-punktini, peaministri maine kiire languse põhjuseks peetakse viimaste kuude maailma finantskriisi
Simulations to demonstrate reduction of the Gordon-Haus effect.
Marcuse, D
1992-01-01
The superposition of spontaneous emission noise on a train of soliton pulses produces a random change of the center frequency of the soliton spectrum that causes a change of the group velocity of individual solitons, which in long-light-wave systems translates into a random jitter of the position of the pulses at the receiver. This phenomenon is known as the Gordon-Haus effect. If uncontrolled, the Gordon-Haus effect sets a definite limit on the permissible data rate or on the length of soliton-based light-wave systems. Recently Kodama and Hasegawa [Opt. Lett. 17, 31 (1992)] have shown that the Gordon-Haus effect can be suppressed by placing filters along the fiber that reduce the frequency jitter and the concomitant group-velocity changes. We demonstrate the reduction of the Gordon-Haus effect by computer simulations.
Gordon Browni valitsuslaevuke sõitis karidele / Heiki Suurkask
Suurkask, Heiki, 1972-
2008-01-01
Briti peaministri Gordon Browni partei kaotas Inglismaa ja Walesi kohalikel valimistel. Autori väitel võis kõige rängema hoobi valitsusele anda madalaima, 10-protsendilise tulumaksumäära kaotamine
Pilved Gordon Browni tuleviku kohal aina tumenevad / Hendrik Vosman
Vosman, Hendrik
2008-01-01
Briti peaministri Gordon Brownile on parlamendis opositsioonis olevad toorid suutnud oma edumaad leiboristide ees suurendada juba 28 %-punktini, peaministri maine kiire languse põhjuseks peetakse viimaste kuude maailma finantskriisi
Bunched soliton states in weakly coupled sine-Gordon systems
Gronbech-Jensen, N.; Samuelsen, M.R. (Physics Laboratory I, The Technical University of Denmark, DK-2800 Lyngby (Denmark)); Lomdahl, P.S. (Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM (USA)); Blackburn, J.A. (Department of Physics and Computing, Wilfrid Laurier University, Waterloo, Ontario (Canada))
1990-09-01
The interaction between solitons of two weakly coupled sine-Gordon systems is considered. In particular, the stability of bunched states is investigated, and perturbation results are compared with numerical results.
Research Ship Robert Gordon Sproul Underway Meteorological Data, Quality Controlled
National Oceanic and Atmospheric Administration, Department of Commerce — Research Ship Robert Gordon Sproul Underway Meteorological Data (delayed ~10 days for quality control) are from the Shipboard Automated Meteorological and...
NOAA Ship Gordon Gunter Underway Meteorological Data, Quality Controlled
National Oceanic and Atmospheric Administration, Department of Commerce — NOAA Ship Gordon Gunter Underway Meteorological Data (delayed ~10 days for quality control) are from the Shipboard Automated Meteorological and Oceanographic System...
Approximate Solutions of Klein-Gordon Equation with Kratzer Potential
H. Hassanabadi
2011-01-01
Full Text Available Approximate solutions of the D-dimensional Klein-Gordon equation are obtained for the scalar and vector general Kratzer potential for any l by using the ansatz method. The energy behavior is numerically discussed.
Sine-Gordon Theory : Entanglement entropy and holography
Banerjee, Pinaki; Sathiapalan, B
2016-01-01
We compute entanglement entropy of sine-Gordon theory for a single interval using both field theoretic and holographic techniques. The results match for near-marginal perturbations up to leading order in the coupling.
Applied and Environmental Microbiology Gordon Research Conference
Wall, Judy D.
2003-11-19
The main objective of the Gordon Research Conference on Applied and Environmental Microbiology was to present and discuss new, fundamental research findings on microorganisms, their activities in the environment, their ecosystem-level effects, and their environmental or commercial applications. To accomplish this goal, knowledge of microbial diversity, interactions and population dynamics was required. The genomic basis of microbial processes, the cycling of naturally occurring and hazardous substances, and methodologies to assess the functional relationships of microorganisms in their habitats were essential for understanding the ecological consequences of microbial activities and the formulation of generalizing principles. In the last decade, molecular technology has revealed that microbial diversity is far more extensive than the limited view obtained from culturing procedures. Great advances in environmental microbiology have resulted from the development and application of molecular approaches to ecology and molecular evolution. A further surprise resulting from the application of these new tools is the blurring of the distinction between pathogenic traits versus those considered non-pathogenic. This year's conference addressed the issues of biodiversity, its development, and the impact of stress on gene selection and expression. In addition microbial metabolic versatility with toxins such as heavy metals, antibiotics, and organic pollutants were discussed. The nine session topics were (1) biodiversity and the bacterial species, (2) mechanisms of biodiversification, (3) biofilms in health and environment, (4) a genomic view of microbial response to stress, (5) microbial use of toxic metals, (6) microbial mineral formation and dissolution, (7) power and limitations of antimicrobials, (8) biodegradation of organic pollutants, and (9) astrobiology. The Conference had an international profile: the Conference Vice-Chair, Dr. Gerard Muyzer, was from The Nether
Gordon Research Conference on Genetic Toxicology
Project Director Penelope Jeggo
2003-02-15
Genetic toxicology represents a study of the genetic damage that a cell can incur, the agents that induce such damage, the damage response mechanisms available to cells and organisms, and the potential consequences of such damage. Genotoxic agents are abundant in the environment and are also induced endogenously. The consequences of such damage can include carcinogenesis and teratogenesis. An understanding of genetic toxicology is essential to carry out risk evaluations of the impact of genotoxic agents and to assess how individual genetic differences influence the response to genotoxic damage. In recent years, the importance of maintaining genomic stability has become increasingly recognized, in part by the realization that failure of the damage response mechanisms underlies many, if not all, cancer incidence. The importance of these mechanisms is also underscored by their remarkable conservation between species, allowing the study of simple organisms to provide significant input into our understanding of the underlying mechanisms. It has also become clear that the damage response mechanisms interface closely with other aspects of cellular metabolism including replication, transcription and cell cycle regulation. Moreover, defects in many of these mechanisms, as observed for example in ataxia telangiectasia patients, confer disorders with associated developmental abnormalities demonstrating their essential roles during growth and development. In short, while a decade ago, a study of the impact of DNA damage was seen as a compartmentalized area of cellular research, it is now appreciated to lie at the centre of an array of cellular responses of crucial importance to human health. Consequently, this has become a dynamic and rapidly advancing area of research. The Genetic Toxicology Gordon Research Conference is biannual with an evolving change in the emphasis of the meetings. From evaluating the nature of genotoxic chemicals, which lay at the centre of the early
Obituary: William Gordon (1918-2010)
Terzian, Yervant
2011-12-01
Bill Gordon was born in Paterson, New Jersey on January 8, 1918, and died in Ithaca, New York, on February 16, 2010. He is known as the engineer and ionospheric physicist who conceived and built the Arecibo giant radar/radio telescope. Bill graduated from Montclair State College in New Jersey and then in 1953 received his doctorate degree from Cornell University in electrical engineering, working under Henry Booker. During World War II he was in the Army where he studied the atmospheric conditions that affected radar transmissions. In the mid 1950s he began investigating giant antennas capable of studying the earths ionosphere. He succeeded in raising funds from the US Defense Department to construct the 1000 ft in diameter radar/radio telescope near the city of Arecibo on the island of Puerto Rico. The telescope was completed in 1963 under Bill's management, and he was its first Director. The huge fixed spherical antenna surface was made of a thin wire mesh allowing it to operate at frequencies up to about 600 MHz (50 cm wavelength). The spherical surface required complex 'line feeds' to correct for the spherical aberration, but allowed the telescope to track celestial radio sources by moving the line feeds which were supported by a platform suspended 500 ft above the reflector surface. Its sky coverage declination range was from -2 to +38 degrees. The large collecting area of the telescope made possible the detailed study of the physical properties of the earth's ionosphere. Measurements also included the rotation rates of the planets Mercury and Venus, radar imaging of the Moon and terrestrial planets. This new magastructure operated at low frequencies with its prime frequency at 430 MHz. One of Bill's passions was to make controlled experiments with the ionosphere. These so called 'heating experiments,' used a powerful HF radar transmitting from 5 to 10 MHz, to heat the ionosphere near the plasma frequency. The Arecibo radar then would study the heated
2010 Membranes: Materials & Processes Gordon Research Conference
Jerry Lin
2010-07-30
The GRC series on Membranes: Materials and Processes have gained significant international recognition, attracting leading experts on membranes and other related areas from around the world. It is now known for being an interdisciplinary and synergistic meeting. The next summer's edition will keep with the past tradition and include new, exciting aspects of material science, chemistry, chemical engineering, computer simulation with participants from academia, industry and national laboratories. This edition will focus on cutting edge topics of membranes for addressing several grand challenges facing our society, in particular, energy, water, health and more generally sustainability. During the technical program, we want to discuss new membrane structure and characterization techniques, the role of advanced membranes and membrane-based processes in sustainability/environment (including carbon dioxide capture), membranes in water processes, and membranes for biological and life support applications. As usual, the informal nature of the meeting, excellent quality of the oral presentations and posters, and ample opportunity to meet many outstanding colleagues make this an excellent conference for established scientists as well as for students. A Gordon Research Seminar (GRS) on the weekend prior to the GRC meeting will provide young researchers an opportunity to present their work and network with outstanding experts. It will also be a right warm-up for the conference participants to join and enjoy the main conference.
1969-01-01
Around the laboratories: Rutherford: Successful tests on bubble chamber target technique; Stanford (SLAC): New storage rings proposal; Berkeley: The HAPPE project to examine cosmic rays with superconducting magnets; The 60th birthday of Professor N.N. Bogolyubov; Argonne: Performance of the automatic film measuring system POLLY II
Lagrangian formulation of symmetric space sine-Gordon models
Bakas, Ioannis; Shin, H J; Park, Q Han
1996-01-01
The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim \\sigma-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by considering a triplet of Lie groups F \\supset G \\supset H. We show that for every symmetric space F/G, the generalized sine-Gordon models can be derived from the G/H WZW action, plus a potential term that is algebraically specified. Thus, the symmetric space sine-Gordon models describe certain integrable perturbations of coset conformal field theories at the classical level. We also briefly discuss their vacuum structure, Backlund transformations, and soliton solutions.
Klein-Gordon oscillator in Kaluza-Klein theory
Carvalho, Josevi; Carvalho, Alexandre M. de M.; Cavalcante, Everton; Furtado, Claudio
2016-07-01
In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of the interaction between particles coupled harmonically with topological defects in Kaluza-Klein theory is studied. We consider a series of topological defects, then we treat the Klein-Gordon oscillator coupled to this background, and we find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein-Gordon oscillator interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case, the energy spectrum is determined, and we observe that these energy levels represent themselves as the sum of the terms related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime.
2010 PLASMONICS GORDON RESEARCH CONFERENCE/GORDON-KENAN GRADUATE STUDENT SEMINAR, JUNE 13-18
Naomi Halas
2010-06-18
The field of plasmonics lies at the forefront of current revolutionary developments in optics at nanoscale dimensions, with broad applications in the fields of biology, chemistry, and engineering. Advancing these applications will require an enhanced focus on the fundamental science of plasmonics in new and exotic regimes. This 2010 Gordon Conference on Plasmonics will focus on recent advances in fundamental and applied plasmonics. As with past conferences, this meeting will bring together top researchers and future leaders for substantial interactions between students, young speakers, and senior figures in the field. Participants should expect lively discussion during the sessions, intermingled with unstructured time where ideas move, collaborations form, and connections are made. Invited talks will cover a diverse range of topics, including active devices, coherence effects, metamaterials and cloaking, quantum optical phenomena, and plasmons in exotic media and in new wavelength regimes. At the conclusion of the conference, our final session will look forward and begin defining upcoming challenges and opportunities for plasmonics.
2012 PLANT CELL WALLS GORDON RESEARCH CONFERENCE AND GORDON RESEARCH SEMINAR, AUGUST 4-10, 2012
Rose, Jocelyn
2012-08-10
The sub-theme of this year’s meeting, ‘Cell Wall Research in a Post-Genome World’, will be a consideration of the dramatic technological changes that have occurred in the three years since the previous cell wall Gordon Conference in the area of DNA sequencing. New technologies are providing additional perspectives of plant cell wall biology across a rapidly growing number of species, highlighting a myriad of architectures, compositions, and functions in both "conventional" and specialized cell walls. This meeting will focus on addressing the knowledge gaps and technical challenges raised by such diversity, as well as our need to understand the underlying processes for critical applications such as crop improvement and bioenergy resource development.
2007 Plant Metabolic Engineering Gordon Conference and Graduate Research Seminar
Erich Grotewold
2008-09-15
Plant Metabolic Engineering is an emerging field that integrates a diverse range of disciplines including plant genetics, genomics, biochemistry, chemistry and cell biology. The Gordon-Kenan Graduate Research Seminar (GRS) in Plant Metabolic Engineering was initiated to provide a unique opportunity for future researcher leaders to present their work in this field. It also creates an environment allowing for peer-review and critical assessment of work without the intimidation usually associated with the presence of senior investigators. The GRS immediately precedes the Plant Metabolic Engineering Gordon Research Conference and will be for and by graduate students and post-docs, with the assistance of the organizers listed.
Considerations on the hyperbolic complex Klein-Gordon equation
Ulrych, S
2010-01-01
The article summarizes and consolidates investigations on hyperbolic complex numbers with respect to the Klein-Gordon equation for fermions and bosons. The hyperbolic complex numbers are applied in the sense that complex extensions of groups and algebras are performed not with the complex unit, but with the product of complex and hyperbolic unit. The modified complexification is the key ingredient for the theory. The Klein-Gordon equation is represented in this framework in the form of the first invariant of the Poincar\\'e group, the mass operator, in order to emphasize its geometric origin. The possibility of new interactions arising from hyperbolic complex gauge transformations is discussed.
Thomas Gordon'S Communicative Pedagogy in Modern Educational Realities
Leshchenko Maria
2014-12-01
Full Text Available In the article the principles, strategies, methods, techniques of communicative pedagogy of American scientist Thomas Gordon and system components of effective communication training for parents, teachers and administrators are enlightened. It has been determined that the main principle of Thomas Gordon's pedagogy is an interactive way of knowing the world, which is realized within communicative activities through which any views and opinions are transferred to the partner, and his reflection on the expressed opinion is perceived that helps enrich the experience of interpersonal interaction.
Overlaps after quantum quenches in the sine-Gordon model
Horváth, D. X.; Takács, G.
2017-08-01
We present a numerical computation of overlaps in mass quenches in sine-Gordon quantum field theory using truncated conformal space approach (TCSA). To improve the cut-off dependence of the method, we use a novel running coupling definition which has a general applicability in free boson TCSA. The numerical results for the first breather overlaps are compared with the analytic continuation of a previously proposed analytical Ansatz for the initial state in a related sinh-Gordon quench, and good agreement is found between the numerical data and the analytical prediction in a large energy range.
Sudden interaction quench in the quantum sine-Gordon model
Sabio, Javier [Instituto de Ciencia de Materiales de Madrid (CSIC), Sor Juana Ines de la Cruz 3, E-28049 Madrid (Spain); Kehrein, Stefan, E-mail: javier.sabio@icmm.csic.e [Arnold-Sommerfeld-Center for Theoretical Physics, Center for NanoSciences and Department fuer Physik, Ludwig-Maximilians-Universitaet Muenchen, Theresienstrasse 37, 80333 Muenchen (Germany)
2010-05-15
We study a sudden interaction quench in the weak-coupling regime of the quantum sine-Gordon model. The real time dynamics of the bosonic mode occupation numbers is calculated using the flow equation method. While we cannot prove results for the asymptotic long-time limit, we can establish the existence of an extended regime in time where the mode occupation numbers relax to twice their equilibrium values. This factor two indicates a non-equilibrium distribution and is a universal feature of weak interaction quenches. The weak-coupling quantum sine-Gordon model therefore turns out to be on the borderline between thermalization and non-thermalization.
Abundant Interaction Solutions of Sine-Gordon Equation
DaZhao Lü
2012-01-01
Full Text Available With the help of computer symbolic computation software (e.g., Maple, abundant interaction solutions of sine-Gordon equation are obtained by means of a constructed Wronskian form expansion method. The method is based upon the forms and structures of Wronskian solutions of sine-Gordon equation, and the functions used in the Wronskian determinants do not satisfy linear partial differential equations. Such interaction solutions are difficultly obtained via other methods. And the method can be automatically carried out in computer.
Klein-Gordon and Dirac Equations with Thermodynamic Quantities
Arda, Altuğ; Tezcan, Cevdet; Sever, Ramazan
2016-03-01
We study the thermodynamic quantities such as the Helmholtz free energy, the mean energy and the specific heat for both the Klein-Gordon, and Dirac equations. Our analyze includes two main subsections: (1) statistical functions for the Klein-Gordon equation with a linear potential having Lorentz vector, and Lorentz scalar parts (2) thermodynamic functions for the Dirac equation with a Lorentz scalar, inverse-linear potential by assuming that the scalar potential field is strong ( A ≫ 1). We restrict ourselves to the case where only the positive part of the spectrum gives a contribution to the sum in partition function. We give the analytical results for high temperatures.
77 FR 51023 - R. Gordon Gooch v. Colonial Pipeline Company; Notice of Complaint
2012-08-23
... Energy Regulatory Commission R. Gordon Gooch v. Colonial Pipeline Company; Notice of Complaint Take... 343.2 (2012)), R. Gordon Gooch (Complainant) filed a formal complaint against Colonial Pipeline.... R. Gordon Gooch states that a copy of the Complaint has been served on the contact for...
Zwier, Timothy
2012-07-20
At the 2012 Atomic and Molecular Interactions Gordon Conference, there will be talks in several broadly defined and partially overlapping areas: Intramolecular and single-collision reaction dynamics; Photophysics and photochemistry of excited states; Clusters, aerosols and solvation; Interactions at interfaces; Conformations and folding of large molecules; Interactions under extreme conditions of temperature and pressure. The theme of the Gordon Research Seminar on Atomic & Molecular Interactions, in keeping with the tradition of the Atomic and Molecular Interactions Gordon Research Conference, is far-reaching and involves fundamental research in the gas and condensed phases along with application of these ideas to practical chemical fields. The oral presentations, which will contain a combination of both experiment and theory, will focus on four broad categories: Ultrafast Phenomena; Excited States, Photoelectrons, and Photoions; Chemical Reaction Dynamics; Biomolecules and Clusters.
2012 Gordon Research Conference, Organometallic Chemistry, 8-13 2012
Hillhouse, Gregory [Univ. of Chicago, IL (United States)
2012-07-13
The 2012 Organometallic Chemistry Gordon Research Conference will highlight new basic science and fundamental applications of organometallic chemistry in industrial, academic, and national lab settings. Scientific themes of the conference will include chemical synthesis, reactivity, catalysis, polymer chemistry, bonding, and theory that involve transition-metal (and main-group) interactions with organic moieties.
Nonlinear dynamics of a parametrically driven sine-Gordon system
Grønbech-Jensen, Niels; Kivshar, Yuri S.; Samuelsen, Mogens Rugholm
1993-01-01
We consider a sine-Gordon system, driven by an ac parametric force in the presence of loss. It is demonstrated that a breather can be maintained in a steady state at half of the external frequency. In the small-amplitude limit the effect is described by an effective nonlinear Schrodinger equation...
Phonons and solitons in the "thermal" sine-Gordon system
Salerno, Mario; Jørgensen, E.; Samuelsen, Mogens Rugholm
1984-01-01
Standard methods of stochastic processes are used to study the coupling of the sine-Gordon system with a heat reservoir. As a result we find thermal phonons with an average energy of kB T per mode. The translational mode (zero mode) is found to carry an average energy of 1 / 2kBT. This last value...
Soliton annihilation in the perturbed sine-Gordon system
Pedersen, Niels Falsig; Samuelsen, Mogens Rugholm; Welner, D.
1984-01-01
Fluxon-antifluxon annihilation in the perturbed sine-Gordon equation with loss and driving terms is investigated. For the infinite line we find a simple analytic expression for the threshold driving term corresponding to annihilation. With the application of the results to a Josephson junction...
Perturbation analysis of a parametrically changed sine-Gordon equation
Sakai, S.; Samuelsen, Mogens Rugholm; Olsen, O. H.
1987-01-01
A long Josephson junction with a spatially varying inductance is a physical manifestation of a modified sine-Gordon equation with parametric perturbation. Soliton propagation in such Josephson junctions is discussed. First, for an adiabatic model where the inductance changes smoothly compared...
Experimental Investigation of Trapped Sine-Gordon Solitons
Davidson, A.; Dueholm, B.; Kryger, B.
1985-01-01
We have observed for the first time a single sine-Gordon soliton trapped in an annular Josephson junction. This system offers a unique possibility to study undisturbed soliton motion. In the context of perturbation theory, the soliton may be viewed as a relativistic particle moving under a uniform...
Rotationally symmetric numerical solutions to the sine-Gordon equation
Olsen, O. H.; Samuelsen, Mogens Rugholm
1981-01-01
We examine numerically the properties of solutions to the spherically symmetric sine-Gordon equation given an initial profile which coincides with the one-dimensional breather solution and refer to such solutions as ring waves. Expanding ring waves either exhibit a return effect or expand towards...
Becoming the University: Early Presidential Discourses of Gordon Gee
Rishell, Michael W.
2011-01-01
The author explores Gordon Gee's career as a university president. There is a special focus on the journey Gee made between 1990, when he first became president of The Ohio State University, to 2007, when he returned to Ohio State for another term as university president ten years later. During this time away from Ohio State, he served as the…
Simplicity of extremal eigenvalues of the Klein-Gordon equation
Koppen, Mario; Winklmeier, Monika
2010-01-01
We consider the spectral problem associated with the Klein-Gordon equation for unbounded electric potentials. If the spectrum of this problem is contained in two disjoint real intervals and the two inner boundary points are eigenvalues, we show that these extremal eigenvalues are simple and possess strictly positive eigenfunctions. Examples of electric potentials satisfying these assumptions are given.
Complex sine-Gordon Equation in Coherent Optical Pulse Propagation
Park, Q H
1999-01-01
It is shown that the McCall-Hahn theory of self-induced transparency in coherent optical pulse propagation can be identified with the complex sine-Gordon theory in the sharp line limit. We reformulate the theory in terms of the deformed gauged Wess-Zumino-Witten sigma model and address various new aspects of self-induced transparency.
Bidifferential Calculus, Matrix SIT and Sine-Gordon Equations
A. Dimakis
2011-01-01
Full Text Available We express a matrix version of the self-induced transparency (SIT equations in the bidifferential calculus framework. An infinite family of exact solutions is then obtained by application of a general result that generates exact solutions from solutions of a linear system of arbitrary matrix size. A side result is a solution formula for the sine-Gordon equation.
N=1 super sinh-Gordon model with defects revisited
Aguirre, A R; Spano, N I; Zimerman, A H
2014-01-01
The Lax pair formalism is considered to discuss the integrability of the N=1 supersymmetric sinh-Gordon model with a defect. We derive associated defect matrix for the model and construct the generating functions of the modified conserved quantities. The corresponding defect contributions for the modified energy and momentum of the model are explicitly computed.
Breather compactons in nonlinear Klein-Gordon systems.
Dinda, P T; Remoissenet, M
1999-11-01
We demonstrate the existence of a localized breathing mode with a compact support, i.e., a stationary breather compacton, in a nonlinear Klein-Gordon system. This breather compacton results from a delicate balance between the harmonicity of the substrate potential and the total nonlinearity induced by the substrate potential and the coupling forces between adjacent lattice sites.
A Search on the Klein-Gordon Equation
B. G(o)nül
2006-01-01
@@ The s-wave Klein-Gordon equation for the bound states is separated in two parts to see clearly the relativistic contributions to the solution in the non-relativistic limit. The reliability of the model is discussed with two examples chosen specifically.
An intrinsic hyperboloid approach for Einstein Klein-Gordon equations
Wang, Qian
2016-01-01
In [7] Klainerman introduced the hyperboloidal method to prove the global existence results for nonlinear Klein-Gordon equations by using commuting vector fields. In this paper, we extend the hyperboloidal method from Minkowski space to Lorentzian spacetimes. This approach is developed in [14] for proving, under the maximal foliation gauge, the global nonlinear stability of Minkowski space for Einstein equations with massive scalar fields, which states that, the sufficiently small data in a compact domain, surrounded by a Schwarzschild metric, leads to a unique, globally hyperbolic, smooth and geodesically complete solution to the Einstein Klein-Gordon system. In this paper, we set up the geometric framework of the intrinsic hyperboloid approach in the curved spacetime. By performing a thorough geometric comparison between the radial normal vector field induced by the intrinsic hyperboloids and the canonical $\\p_r$, we manage to control the hyperboloids when they are close to their asymptote, which is a light...
Static Properties of the Multiple-Sine-Gordon Systems
Peyravi, M; Montakhab, Afshin
2010-01-01
In this paper, we examine some basic properties of the multiple-Sine-Gordon (MSG) systems, which constitute a generalization of the celebrated sine-Gordon (SG) system. We start by showing how MSG systems can be viewed as a general class of periodic functions. Next, periodic and step-like solutions of these systems are discussed in some details. In particular, we study the static properties of such systems by considering slope and phase diagrams. We also use concepts like energy density and pressure to characterize and distinguish such solutions. We interpret these solutions as an interacting many body system, in which kinks and antikinks behave as extended particles. Finally, we provide a linear stability analysis of periodic solutions which indicates short wavelength solutions to be stable.
Multiresonance modes in sine–Gordon brane models
Cruz, W.T., E-mail: wilamicruz@gmail.com [Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE), Campus Juazeiro do Norte, 63040-540 Juazeiro do Norte-Ceará (Brazil); Maluf, R.V., E-mail: r.v.maluf@fisica.ufc.br [Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza - CE, C.P. 6030, 60455-760 (Brazil); Dantas, D.M., E-mail: davi@fisica.ufc.br [Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza - CE, C.P. 6030, 60455-760 (Brazil); Almeida, C.A.S., E-mail: carlos@fisica.ufc.br [Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza - CE, C.P. 6030, 60455-760 (Brazil)
2016-12-15
In this work, we study the localization of the vector gauge field in two five-dimensional braneworlds generated by scalar fields coupled to gravity. The sine–Gordon like potentials are employed to produce different thick brane setups. A zero mode localized is obtained, and we show the existence of reverberations with the wave solutions indicating a quasi-localized massive mode. More interesting results are achieved when we propose a double sine–Gordon potential to the scalar field. The resulting thick brane shows a more detailed topology with the presence of an internal structure composed by two kinks. The massive spectrum of the gauge field is revalued on this scenario revealing the existence of various resonant modes. Furthermore, we compute the corrections to Coulomb law coming from these massive KK vector modes in these thick scenarios, which is concluded that the dilaton parameter regulates these corrections.
Multiresonance modes in sine-Gordon brane models
Cruz, W T; Almeida, C A S
2015-01-01
In this work, we study the localization of the vector gauge field in two five-dimensional braneworlds generated by scalar fields coupled to gravity. The sine-Gordon like potentials are employed to produce different thick brane setups. A zero mode localized is obtained, and we show the existence of reverberations with the wave solutions indicating a quasi-localized massive mode. More interesting results are achieved when we propose a double sine-Gordon potential to the scalar field. The resulting thick brane shows a more detailed topology with the presence of an internal structure composed by two kinks. The massive spectrum of the gauge field is revalued on this scenario revealing the existence of various resonant modes
Multiresonance modes in sine-Gordon brane models
Cruz, W. T.; Maluf, R. V.; Dantas, D. M.; Almeida, C. A. S.
2016-12-01
In this work, we study the localization of the vector gauge field in two five-dimensional braneworlds generated by scalar fields coupled to gravity. The sine-Gordon like potentials are employed to produce different thick brane setups. A zero mode localized is obtained, and we show the existence of reverberations with the wave solutions indicating a quasi-localized massive mode. More interesting results are achieved when we propose a double sine-Gordon potential to the scalar field. The resulting thick brane shows a more detailed topology with the presence of an internal structure composed by two kinks. The massive spectrum of the gauge field is revalued on this scenario revealing the existence of various resonant modes. Furthermore, we compute the corrections to Coulomb law coming from these massive KK vector modes in these thick scenarios, which is concluded that the dilaton parameter regulates these corrections.
2004 Atomic and Molecular Interactions Gordon Research Conference
Dr. Paul J. Dagdigian
2004-10-25
The 2004 Gordon Research Conference on Atomic and Molecular Interactions was held July 11-16 at Colby-Sawyer College, New London, New Hampshire. This latest edition in a long-standing conference series featured invited talks and contributed poster papers on dynamics and intermolecular interactions in a variety of environments, ranging from the gas phase through surfaces and condensed media. A total of 90 conferees participated in the conference.
The Quantum Sine-Gordon Model in Perturbative AQFT
Bahns, Dorothea; Rejzner, Kasia
2017-08-01
We study the Sine-Gordon model with Minkowski signature in the framework of perturbative algebraic quantum field theory. We calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the expectation value—with respect to the vacuum or a Hadamard state—of the Epstein Glaser S-matrix and the interacting current or the field respectively converge, both given as formal power series.
Global solution for coupled nonlinear Klein-Gordon system
GAN Zai-hui; ZHANG Jian
2007-01-01
The global solution for a coupled nonlinear Klein-Gordon system in twodimensional space was studied.First,a sharp threshold of blowup and global existenoe for the system was obtained by constructing a type of cross-constrained variational problem and establishing so-called cross-invariant manifolds of the evolution flow.Then the result of how small the initial data for which the solution exists globally was proved by using the scaling argument.
Breather Dynamics of the Sine-Gordon Equation
Stephen Johnson; Anjan Biswas
2013-01-01
This paper studies the adiabatic dynamics of the breather soliton of the sine-Gordon equation.The integrals of motion are found and then used in soliton perturbation theory to derive the differential equation governing the soliton velocity.Time-dependent functions arise and their properties are studied.These functions are found to be bounded and periodic and affect the soliton velocity.The soliton velocity is numerically plotted against time for different combinations of initial velocities and perturbation terms.
Numerical Solution of Radial Biquaternion Klein-Gordon Equation
Christianto V.
2008-01-01
Full Text Available In the preceding article we argue that biquaternionic extension of Klein-Gordon equation has solution containing imaginary part, which differs appreciably from known solution of KGE. In the present article we present numerical/computer solution of radial biquaternionic KGE (radialBQKGE; which differs appreciably from conventional Yukawa potential. Further observation is of course recommended in order to refute or verify this proposition.
The Quantum Sine Gordon model in perturbative AQFT
Bahns, Dorothea
2016-01-01
We study the Sine Gordon model in the framework of perturbative algebraic quantum field theory, without making use of a representation on Fock space. In particular, we calculate the vertex operator algebra braiding property. We prove that in the finite regime of the model, the vacuum expectation value of the Epstein Glaser $S$-matrix and the interacting current, both given as formal power series, converge in a suitable topology on the space of functionals.
Moving potential for Dirac and Klein–Gordon equations
Hamil B; Chetouani L
2016-04-01
Using the Lorentz transformation, the Klein–Gordon and Dirac equations with moving potentials are reduced to one standard where the potential is time-independent. As application, the reflection and transmission coefficients are determined by considering the moving step with a constant velocity $v$. It has been found that $R \\pm T = 1$ only at $x = vt$. The problem of massless (2+1) Dirac particle is also considerered.
Study of models of the sine-Gordon type in flat and curved spacetime
Bazeia, D. [Universidade de Sao Paulo, Instituto de Fisica, Sao Paulo, SP (Brazil); Universidade Federal da Paraiba, Departamento de Fisica, Joao Pessoa, PB (Brazil); Universidade Federal de Campina Grande, Departamento de Fisica, Campina Grande, PB (Brazil); Losano, L. [Universidade Federal da Paraiba, Departamento de Fisica, Joao Pessoa, PB (Brazil); Universidade Federal de Campina Grande, Departamento de Fisica, Campina Grande, PB (Brazil); Menezes, R. [Universidade Federal de Campina Grande, Departamento de Fisica, Campina Grande, PB (Brazil); Rocha, Roldao da [Universidade Federal do ABC, Centro de Matematica, Computacao e Cognicao, Santo Andre, SP (Brazil)
2013-07-15
We study a new family of models of the sine-Gordon type, starting from the sine-Gordon model, including the double sine-Gordon, the triple one, and so on. The models appears as deformations of the starting model, with the deformation controlled by two parameters, one very small, used to control a linear expansion on it, and the other, which specifies the particular model in the family of models. We investigate the presence of topological defects, showing how the solutions can be constructed explicitly from the topological defects of the sine-Gordon model itself. In particular, we delve into the double sine-Gordon model in a braneworld scenario with a single extra dimension of infinite extent, showing that a stable gravity scenario is admissible. Also, we briefly show that the deformation procedure can be used iteratively, leading to a diversity of possibilities to construct families of models of the sine-Gordon type. (orig.)
New modular relations involving cubes of the Göllnitz–Gordon functions
OLIVIA X M YAO
2017-06-01
Chen and Huang established some elegant modular relations for the Göllnitz–Gordon functions analogous to Ramanujan’s list of forty identities for the Rogers–Ramanujan functions. In this paper, we derive some new modular relations involving cubes of the Göllnitz–Gordon functions. Furthermore, we also provide newproofs of some modular relations for the Göllnitz–Gordon functions due to Gugg.
On the Klein-Gordon oscillator subject to a Coulomb-type potential
Bakke, K.; Furtado, C.
2015-04-01
By introducing the scalar potential as modification in the mass term of the Klein-Gordon equation, the influence of a Coulomb-type potential on the Klein-Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein-Gordon oscillator on the quantum numbers of the system is shown.
Higher-order symmetries and conservation laws of multi-dimensional Gordon-type equations
S Jamal; A H Kara
2011-09-01
In this paper a class of multi-dimensional Gordon-type equations are analysed using a multiplier and homotopy approach to construct conservation laws. The main focus is the analysis of the classical versions of the Gordon-type equations and obtaining higher-order variational symmetries and corresponding conserved quantities. The results are extended to the multi-dimensional Gordontype equations with the two-dimensional Klein–Gordon equation in particular yielding interesting results.
The symmetries and conservation laws of some Gordon-type equations in Milne space-time
S Jamal; A H Kara; A H Bokhari; F D Zaman
2013-05-01
In this letter, the Lie point symmetries of a class of Gordon-type wave equations that arise in the Milne space-time are presented and analysed. Using the Lie point symmetries, it is showed how to reduce Gordon-type wave equations using the method of invariants, and to obtain exact solutions corresponding to some boundary values. The Noether point symmetries and conservation laws are obtained for the Klein–Gordon equation in one case. Finally, the existence of higher-order variational symmetries of a projection of the Klein–Gordon equation is investigated using the multiplier approach.
The second-order Klein-Gordon field equation
Gomes, D.; E. Capelas De Oliveira
2004-01-01
We introduce and discuss the generalized Klein-Gordon second-order partial differential equation in the Robertson-Walker space-time, using the Casimir second-order invariant operator written in hyperspherical coordinates. The de Sitter and anti-de Sitter space-times are recovered by means of a convenient choice of the parameter associated to the space-time curvature. As an application, we discuss a few properties of the solutions. We also discuss the case where we have positive frequency expo...
2009 Epigenetics Gordon Research Conference (August 9 - 14, 2009)
Jeanie Lee
2009-08-14
Epigenetics refers to the study of heritable changes in genome function that occur without a change in primary DNA sequence. The 2009 Gordon Conference in Epigenetics will feature discussion of various epigenetic phenomena, emerging understanding of their underlying mechanisms, and the growing appreciation that human, animal, and plant health all depend on proper epigenetic control. Special emphasis will be placed on genome-environment interactions particularly as they relate to human disease. Towards improving knowledge of molecular mechanisms, the conference will feature international leaders studying the roles of higher order chromatin structure, noncoding RNA, repeat elements, nuclear organization, and morphogenic evolution. Traditional and new model organisms are selected from plants, fungi, and metazoans.
Linda Gordon, Dorothea Lange: A Life Beyond Limits
Hélène Quanquin
2012-03-01
Full Text Available In June 2007, the Schlesinger Library at the Radcliffe Institute for Advanced Study at Harvard University organized its first summer seminar on “Writing Past Lives: Biography as History,” which sought to investigate “how a focus on individual lives can further historical analysis.” One of the plenary speakers was Linda Gordon, who was invited to speak on her work on the biography of American documentary photographer Dorothea Lange. The first picture which she showed was neither “Migrant Mothe...
A new method to solve the damped nonlinear Klein-Gordon equation
2008-01-01
This paper discusses a damped nonlinear Klein-Gordon equation in the reproducing kernel space and provides a new method for solving the damped nonlinear Klein-Gordon equation based on the reproducing kernel space.Two numerical examples are given for illustrating the feasibility and accuracy of the method.
2013-06-17
... Anthropology, Detroit, MI AGENCY: National Park Service, Interior. ACTION: Notice. SUMMARY: The Wayne State University Gordon L. Grosscup Museum of Anthropology (hereafter WSU Museum) has completed an inventory of... Anthropology, Wayne State University Gordon L. Grosscup Museum of Anthropology, 3056 F/AB, Detroit, MI...
From Pariah To Patriot: The Posthumous Career Of George William Gordon
Howard Johnson
2008-12-01
Full Text Available Examines the development of the reputation of George William Gordon in Jamaican collective remembering, in relation to changing social, political, and cultural contexts. Author describes Gordon's mixed-raced/brown background and later parliamentary activities in support of poor black labourers, and how he was sentenced to death by governor Eyre for supposedly inciting the 1865 Morant Bay Rebellion led by Paul Bogle. He relates how Gordon was in British historiography depicted as a traitor, while soon after 1865 Gordon was also defended as martyr and hero, and as unjustly sentenced. He shows how up to the early 20th c. the establishment perspective of Gordon as traitor and agitator persisted, but that competing discourses also developed. These came more to the fore since the introduction of universal adult suffrage in 1944, when Gordon first was publicly recognized as a patriot, and he was increasingly seen as national hero after independence. In addition, Gordon was presented, e.g. by the JLP, as a symbol of brown-black cooperation across race and class. Author notes, however, how this was also contested, and that a reputational decline of Gordon set in since the 1980s, increasing after 1992, due to sharpened brown-black divides, related to economic decline among Jamaica's black majority and black nationalism.
Functional Integrals and Free Energy in sine-Gordon-Thirring Model with Impurity Coupling
无
2007-01-01
The free energy at low temperature in ID sine-Gordon-Thirring model with impurity coupling is studied by means of functional integrals method. For massive free sine-Gordon-Thirring model, free energy is obtained from perturbation expansion of functional determinant. Moreover, the free energy of massive model is calculated by use of an auxiliary Bose Geld method.
On the Klein–Gordon oscillator subject to a Coulomb-type potential
Bakke, K., E-mail: kbakke@fisica.ufpb.br; Furtado, C., E-mail: furtado@fisica.ufpb.br
2015-04-15
By introducing the scalar potential as modification in the mass term of the Klein–Gordon equation, the influence of a Coulomb-type potential on the Klein–Gordon oscillator is investigated. Relativistic bound states solutions are achieved to both attractive and repulsive Coulomb-type potentials and the arising of a quantum effect characterized by the dependence of angular frequency of the Klein–Gordon oscillator on the quantum numbers of the system is shown. - Highlights: • Interaction between the Klein–Gordon oscillator and a modified mass term. • Relativistic bound states for both attractive and repulsive Coulomb-type potentials. • Dependence of the Klein–Gordon oscillator frequency on the quantum numbers. • Relativistic analogue of a position-dependent mass system.
Dor Ben-Amotz, PI
2012-08-17
Understanding the fundamental principles governing the structure and dynamics of water - and particularly how water mediates chemical interactions and processes - continues to pose formidable challenges and yield abundant surprises. The focus of this Gordon Research Conference is on identifying key questions, describing emerging understandings, and unveiling surprising discoveries related to water and aqueous solutions. The talks and posters at this meeting will describe studies of water and its interactions with objects such as interfaces, channels, electrons, oils, ions, and proteins; probed using optical, electrical, and particle experiments, and described using classical, quantum, and multi-scale theories.
Kentle, R L
1994-10-01
Correlations of scores on the Eysenck Personality Inventory with those on the Gordon Personal Profile (for 160 university undergraduates) and with the Gordon Personal Inventory (for 260 undergraduates) showed that Eysenck and Eysenck's Extraversion and Neuroticism bear reasonably close correspondence to Gordon's Sociability and Emotional Stability.
Numerical computation of travelling breathers in Klein Gordon chains
Sire, Yannick; James, Guillaume
2005-05-01
We numerically study the existence of travelling breathers in Klein-Gordon chains, which consist of one-dimensional networks of nonlinear oscillators in an anharmonic on-site potential, linearly coupled to their nearest neighbors. Travelling breathers are spatially localized solutions having the property of being exactly translated by p sites along the chain after a fixed propagation time T (these solutions generalize the concept of solitary waves for which p=1). In the case of even on-site potentials, the existence of small amplitude travelling breathers superposed on a small oscillatory tail has been proved recently [G. James, Y. Sire, Travelling breathers with exponentially small tails in a chain of nonlinear oscillators, Commun. Math. Phys., 2005, in press (available online at http://www.springerlink.com)], the tail being exponentially small with respect to the central oscillation size. In this paper, we compute these solutions numerically and continue them into the large amplitude regime for different types of even potentials. We find that Klein-Gordon chains can support highly localized travelling breather solutions superposed on an oscillatory tail. We provide examples where the tail can be made very small and is difficult to detect at the scale of central oscillations. In addition, we numerically observe the existence of these solutions in the case of non-even potentials.
Semiclassical versus exact quantization of the Sinh-Gordon model
Grossehelweg, Juliane
2009-12-15
In this work we investigate the semiclassics of the Sinh-Gordon model. The Sinh-Gordon model is integrable, its explicit solutions of the classical and the quantum model are well known. This allows for a comprehensive investigation of the semiclassical quantization of the classical model as well as of the semiclassical limit of the exact quantum solution. Semiclassical means in this case that the key objects of quantum theory are constructed as formal power series. A quantity playing an important role in the quantum theory is the Q-function. The purpose of this work is to investigate to what extend the classical integrability of the model admits of a construction of the semiclassical expansion of the Q-function. Therefore we used two conceptual independent approaches. In the one approach we start from the exact nonperturbative solution of the quantum model and calculate the semiclassical limit up to the next to leading order. Thereby we found the spectral curve, as well as the semiclassical expansion of the Q-function and of the eigenvalue of the monodromy matrix. In the other approach we constructed the first two orders of the semiclassical expansion of the Q-function, starting from the classical solution theory. The results of both approaches coincide. (orig.)
Semiclassical versus exact quantization of the Sinh-Gordon model
Grossehelweg, Juliane
2009-12-15
In this work we investigate the semiclassics of the Sinh-Gordon model. The Sinh-Gordon model is integrable, its explicit solutions of the classical and the quantum model are well known. This allows for a comprehensive investigation of the semiclassical quantization of the classical model as well as of the semiclassical limit of the exact quantum solution. Semiclassical means in this case that the key objects of quantum theory are constructed as formal power series. A quantity playing an important role in the quantum theory is the Q-function. The purpose of this work is to investigate to what extend the classical integrability of the model admits of a construction of the semiclassical expansion of the Q-function. Therefore we used two conceptual independent approaches. In the one approach we start from the exact nonperturbative solution of the quantum model and calculate the semiclassical limit up to the next to leading order. Thereby we found the spectral curve, as well as the semiclassical expansion of the Q-function and of the eigenvalue of the monodromy matrix. In the other approach we constructed the first two orders of the semiclassical expansion of the Q-function, starting from the classical solution theory. The results of both approaches coincide. (orig.)
2010 Gordon Research Conference, Electrochemistry, January 9-15, 2010
Creager, Stephen [Clemson Univ., SC (United States)
2010-12-31
Electrochemical science plays a crucial role in many important technologies and is intimately involved in many natural phenomena. Several new Gordon Research Conferences have appeared recently that are dedicated to electrochemical technologies, however electrochemistry as a discipline continues to thrive and provide the underpinnings of these technologies. The 2010 Electrochemistry GRC will focus on a wide range of fundamental electrochemical phenomena and materials and on their application in areas involving energy storage, information storage, chemical analysis, and motion actuation. The meeting will include sessions dedicated to the following specific topics: electrochemical energy storage (e.g. batteries; at least two sessions); electrochemical motion actuation (e.g. electrokinesis); electrocatalysis; electrochemistry in digital information storage; and bioelectrochemistry (including bioanalysis). An Open Session devoted to highlighting the activities of {approx}10 young investigators and non-North American visitors via brief 10-minute talks, and two open poster sessions highlighting the contributions of approximately 60 conference participants including graduate students, will be held. Altogether the conference is expected to include approximately 90 presentations. As has been the case in the recent past, the meeting will bring together participants from academia, national labs, and the private sector, including senior and junior-level scientists, postdoctoral scientists, and graduate students for informal interactions and exchange of ideas. An affiliated Gordon-Kenan Research Seminar (GRS) will also be held with the conference. Special efforts will be made to invite participation from members of underrepresented groups.
Gordon Rohlehr and the Culture Industry in Trinidad
Raymond Ramcharitar
2011-12-01
Full Text Available The terms "culture" and "cultural studies" in Trinidad and Tobago have been narrowly defined to mean Carnival and various other phenomena connected to the nationalist project. There has been little acknowledgement of cyber culture, alternative sexualities, consumerism, media, and in general the "Culture Industry", as theorised by Theodor Adorno and Max Horkheimer. One critic, Gordon Rohlehr, has over decades presented a body of work ostensibly focused on Carnival, but which also contains a cogent critique and outline of the Trinidad and Tobago Culture Industry (as contemplated by Adorno. A close reading of Rohlehr's work, and his intellectual antecedents, reveal a compelling critique of the Trinidadian/West Indian notion and practice of culture and cultural studies, and suggests areas for the discipline's expansion to better serve the needs of the region.
Massless Boundary Sine-Gordon Model Coupled to External Fields
Kogetsu, H
2005-01-01
We investigate a generalization of the massless boundary sine-Gordon model with conformal invariance, which has been used to describe an array of D-branes (or rolling tachyon). We consider a similar action whose couplings are replaced with external fields depending on the boundary coordinate. Even in the presence of the external fields, this model is still solvable, though it does not maintain the whole conformal symmetry. We obtain, to all orders in perturbation theory in terms of the external fields, a simpler expression of the boundary state and the disc partition function. As a by-product, we fix the relation between the bare couplings and the renormalized couplings which has been appeared in papers on tachyon lump and rolling tachyon.
Emergence of compact structures in a Klein-Gordon model.
Rosenau, Philip; Kashdan, Eugene
2010-01-22
The Klein-Gordon model (KG) phi=P{'}(|phi|)phi/|phi| is Lorenz invariant and has a finite wave speed, yet its localized modes, whether Q balls or vortices, suffer from the same fundamental flaw as all other solitons-they extend indefinitely. Using the KG model as a case study, we demonstrate that appending the site potential, P{a}(phi|), with a subquadratic part P(|phi|)=b{2}|phi|{1+delta}+P{a}(|phi|), 0
2011 Plant Lipids: Structure, Metabolism, & Function Gordon Research Conference
Christopher Benning
2011-02-04
This is the second Gordon Research Conference on 'Plant Lipids: Structure, Metabolism & Function'. It covers current topics in lipid structure, metabolism and function in eukaryotic photosynthetic organisms including seed plants, algae, mosses and ferns. Work in photosynthetic bacteria is considered as well as it serves the understanding of specific aspects of lipid metabolism in plants. Breakthroughs are discussed in research on plant lipids as diverse as glycerolipids, sphingolipids, lipids of the cell surface, isoprenoids, fatty acids and their derivatives. The program covers nine concepts at the forefront of research under which afore mentioned plant lipid classes are discussed. The goal is to integrate areas such as lipid signaling, basic lipid metabolism, membrane function, lipid analysis, and lipid engineering to achieve a high level of stimulating interaction among diverse researchers with interests in plant lipids. One Emphasis is on the dynamics and regulation of lipid metabolism during plant cell development and in response to environmental factors.
Kink propagation and trapping in a two dimensional curved sine-Gordon system
Sørensen, Mads Peter
The sine-Gordon equation is one of the three classical nonlinear partial differential equations possessing soliton solutions in the case of one spatial dimension. Extending the sine-Gordon equation to two spatial dimensions is relevant for applications to the dynamics of large area Josephson...... to investigate how kink shaped solitons of the sine-Gordon equation propagate through the bent section. We have found that the region with finite curvature acts as a potential barrier whose height and width depends on the radius of curvature of the waveguide. The kink transmission, reflection and trapping...
Kink propagation and trapping in a two dimensional curved sine-Gordon system
Sørensen, Mads Peter
The sine-Gordon equation is one of the three classical nonlinear partial differential equations possessing soliton solutions in the case of one spatial dimension. Extending the sine-Gordon equation to two spatial dimensions is relevant for applications to the dynamics of large area Josephson...... to investigate how kink shaped solitons of the sine-Gordon equation propagate through the bent section. We have found that the region with finite curvature acts as a potential barrier whose height and width depends on the radius of curvature of the waveguide. The kink transmission, reflection and trapping...
2012 MICROBIAL STRESS RESPONSE GORDON RESEARCH CONFERENCE, JULY 20-25, 2012
Timothy Donohue
2012-07-25
The Gordon Research Conference on MICROBIAL STRESS RESPONSE was held at Mount Holyoke College, South Hadley, Massachusetts, July 15-20, 2012. The Conference was well-attended with 180 participants. The 2012 Microbial Stress Responses Gordon Research Conference will provide a forum for the open reporting of recent discoveries on the diverse mechanisms employed by microbes to respond to stress. Approaches range from analysis at the molecular level (how are signals perceived and transmitted to change gene expression or function) to cellular and microbial community responses. Gordon Research Conferences does not permit publication of meeting proceedings.
Relativistic quantum effects of confining potentials on the Klein-Gordon oscillator
Vitória, R. L. L.; Bakke, K.
2016-02-01
The behaviour of the Klein-Gordon oscillator under the influence of linear and Coulomb-type potentials is investigated. The introduction of the scalar potentials is made by modifying the mass term of the Klein-Gordon equation, then, by searching for relativistic bound states, a particular quantum effect can be observed: a dependence of the angular frequency of the Klein-Gordon oscillator on the quantum numbers associated with the radial modes and the angular momentum. As an example, we analyse the angular frequency and the energy level associated with the ground state of the relativistic system.
H H Ortíz Álvarez
2012-12-01
Full Text Available In solving practical problems in science and engineering arises as a direct consequence differential equations that explains the dynamics of the phenomena.Finding exact solutions to this equations provides importan informationabout the behavior of physical systems. The Lie symmetry method allows tofind invariant solutions under certain groups of transformations for differentialequations.This method not very well known and used is of great importance inthe scientific community. By this approach it was possible to find several exactinvariant solutions for the Klein Gordon Equation uxx − utt = k(u. A particularcase, The Kolmogorov equation uxx − utt = k1u + k2un was considered.These equations appear in the study of relativistic and quantum physics. Thegeneral solutions found, could be used for future explorations on the study forother specific K(u functions. En la solución de problemas prácticos de las ciencias y la ingeniería surgen como consecuencia directa ecuaciones diferenciales que dan razón de la dinámica de los fenómenos. El encontrar soluciones exactas a estas ecuaciones proporciona información importante sobre el comportamiento de sistemas físicos. El método de las simetrías de Lie permite encontrar soluciones invariantes bajo ciertos grupos de transformaciones para ecuaciones diferenciales. Mediante este método fue posible encontrar familias de soluciones exactas invariantes para la ecuación de Klein Gordon uxx- utt = k(u: En particular, se consideró la ecuación de Kolmogorov uxx - utt = k1u + k2u n. Estas ecuaciones aparecen en el estudio de la física relativista y cuántica. Las soluciones generales encontradas podrían emplearse en futuros desarrollos en el estudio para otro tipo de funciones k(u.
Darboux coordinates for periodic solutions of the sinh-Gordon equation
Knopf, Markus
2016-12-01
We study the space of periodic solutions of the elliptic sinh-Gordon equation by means of spectral data consisting of a Riemann surface Y and a divisor D and prove the existence of certain Darboux coordinates.
Sine-Gordon solitons in networks: Scattering and transmission at vertices
Sobirov, Zarif; Babajanov, Doniyor; Matrasulov, Davron; Nakamura, Katsuhiro; Uecker, Hannes
2016-09-01
We consider the sine-Gordon equation on metric graphs with simple topologies and derive vertex boundary conditions from the fundamental conservation laws together with successive space-derivatives of sine-Gordon equation. We analytically obtain traveling-wave solutions in the form of standard sine-Gordon solitons such as kinks and antikinks for star and tree graphs. We show that for this case the sine-Gordon equation becomes completely integrable just as in case of a simple 1D chain. This simple analysis provides a cornerstone for the numerical solution of the general case, including a quantification of the vertex scattering. Applications of the obtained results to Josephson junction networks and DNA double helix are discussed.
THE DYNAMICS OF SINE-GORDON SYSTEM WITH DIRICHLET BOUNDARY CONDITION
Liu Yingdong; Li Zhengyuan
2000-01-01
We prove the existence of the global attractor of Sine-Gordon system with Dirichlet boundary condition and show the attractor is the unique steady state when the damping constant and the diffusion constant are sufficiently large.
Gordon Brown. Raudne minister istub peaministri toolile / Jürgen Tamme
Tamme, Jürgen
2007-01-01
Ilmunud ka: Postimees : na russkom jazõke 29. juuni lk. 8. Suurbritannia valitsuse rahandusministri Gordon Browni saamisest Tööpartei esimeheks ja peaministriks, tema elukäigust, haridusteest ning poliitikukarjäärist
Exact Solution of Klein-Gordon Equation by Asymptotic Iteration Method
Eser Ol(g)ar
2008-01-01
Using the asymptotic iteration method (AIM) we obtain the spectrum of the Klein-Gordon equation for some choices of scalar and vector potentials. In particular, it is shown that the AIM exactly reproduces the spectrum of some solvable potentials.
Spacetimes with a separable Klein-Gordon equation in higher dimensions
Kolar, Ivan
2015-01-01
We study spacetimes that lead to a separable Klein-Gordon equation in a general dimension. We introduce an ansatz for the metric in higher dimensions motivated by analogical work by Carter in four dimensions and find solutions of the Klein-Gordon equation. For such a metric we solve the Einstein equations and regain the Kerr-NUT-(A)dS spacetime as one of our results. Other solutions lead to the Einstein-K\\"ahler metric of a Euclidean signature. Next we investigate a warped geometry of two Klein-Gordon separable spaces with a properly chosen warped factor. We show that the resulting metric leads also to a separable Klein--Gordon equation and we find the corresponding solutions. Finally, we solve the Einstein equations for the warped geometry and obtain new solutions.
Exact solution of the Klein Gordon equation in the presence of a minimal length
Jana, T K
2009-01-01
We obtain exact solutions of the (1+1) dimensional Klein Gordon equation with linear vector and scalar potentials in the presence of a minimal length. Algebraic approach to the problem has also been studied.
Gordon Brown. Raudne minister istub peaministri toolile / Jürgen Tamme
Tamme, Jürgen
2007-01-01
Ilmunud ka: Postimees : na russkom jazõke 29. juuni lk. 8. Suurbritannia valitsuse rahandusministri Gordon Browni saamisest Tööpartei esimeheks ja peaministriks, tema elukäigust, haridusteest ning poliitikukarjäärist
Chakraborty, Debananda
2011-01-01
We consider the Klein-Gordon and sine-Gordon type equations with a point-like potential, which describes the wave phenomenon in disordered media with a defect. The singular potential term yields a critical phenomenon--that is, the solution behavior around the critical parameter value bifurcates into two extreme cases. Pinpointing the critical value with arbitrary accuracy is even more challenging. In this work, we adopt the generalized polynomial chaos (gPC) method to determine the critical values and the mean solutions around such values. First, we consider the critical value associated with the strength of the singular potential for the Klein-Gordon equation. We expand the solution in the random variable associated with the parameter. The obtained partial differential equations are solved using the Chebyshev collocation method. Due to the existence of the singularity, the Gibbs phenomenon appears in the solution, yielding a slow convergence of the numerically computed critical value. To deal with the singul...
On classical solutions of the relativistic Vlasov-Klein-Gordon system
Michael Kunzinger
2005-01-01
Full Text Available We consider a collisionless ensemble of classical particles coupled with a Klein-Gordon field. For the resulting nonlinear system of partial differential equations, the relativistic Vlasov-Klein-Gordon system, we prove local-in-time existence of classical solutions and a continuation criterion which says that a solution can blow up only if the particle momenta become large. We also show that classical solutions are global in time in the one-dimensional case.
Pi-kinks in a parametrically driven sine-Gordon chain
Kivshar, Yuri S.; Grønbech-Jensen, Niels; Samuelsen, Mogens Rugholm
1992-01-01
We consider the sine-Gordon chain driven by a high-frequency parametric force in the presence of loss. Using an analytical approach based on the method of averaging in fast oscillations, we predict that such a parametric force may support propagation of π kinks, which are unstable in the standard...... sine-Gordon model. The steady-state velocity of the π kinks is calculated, and the analytical results are in good agreement with direct numerical simulations....
Davidson, A.; Pedersen, Niels Falsig; Dueholm, B.
1985-01-01
We show some experimental results which suggest that total damping, including surface loss, plays a fundamental role in limiting the stability of high-velocity sine-Gordon solitons in real Josephson tunnel junctions.......We show some experimental results which suggest that total damping, including surface loss, plays a fundamental role in limiting the stability of high-velocity sine-Gordon solitons in real Josephson tunnel junctions....
郭柏灵; 苗长兴
1995-01-01
The final value problem for the classical coupled Klein-Gordon-Schrodinger equations is studied in . This leads to the construction of the modified wave operator Ω, for certain scattered data. When initial functions belong to (Ω) which denotes the range domain of Ω, the global existence and asymptotic behavior of solutions of Cauchy problem tor the coupled Klein-Gordon-Schrodinger equations are proved.
GLOBAL WELL-POSEDNESS FOR THE KLEIN-GORDON EQUATION BELOW THE ENERGY NORM
Miao Changxing; Zhang Bo; Fang Daoyuan
2004-01-01
We study global well-posedness below the energy norm of the Cauchy problem for the Klein-Gordon equation in Rn with n≥ 3. By means of Bourgain's method along with the endpoint Strichartz estimates of Keel and Tao, we prove the Hs-global well-posedness with s ＜ 1 of the Cauchy problem for the Klein-Gordon equation. This we do by establishing a series of nonlinear a priori estimates in the setting of Besov spaces.
2010 Ceramics, Solid State Studies in Gordon Research Conference
John Halloran
2010-08-20
The 2010 Gordon Conference on Solid State Studies in Ceramics will present forefront research on ceramic materials in energy conversion, storage, and environmental sustainability. Oxide materials in advanced Li-ion batteries will be featured, including first principles computational methods, new experimental methods, novel synthesis, and the design of batteries that exploit nanoscale cathode materials. Several speakers address advances in oxides for solar applications, including photo-catalysts for solar hydrogen production and dye sensitized solar cells, along with thin film photovoltaics. Fast ionic conducting ceramics in electrochemical energy conversion and storage will be addressed for fuel cells and electrochemical storage. New concepts for electrochemical capacitor materials will be addressed, as will thermoelectric, geopolymers, and ceramics in nuclear energy. The Conference will bring together investigators at the forefront of their field as well as junior scientists in a collegial atmosphere, with programmed discussion sessions and informal gatherings in the afternoons and evenings. Poster presentations provide opportunities for junior scientists and graduate students to present their work and exchange ideas with leaders in the field. This Conference provides an avenue for scientists from different disciplines to explore new ideas and promotes cross-disciplinary collaborations in the various research areas represented.
Gordon Welchman Bletchley Park's architect of ultra intelligence
Greenberg, Joel
2014-01-01
A magnificent biography which finally provides recognition to one of Bletchley's and Britain's lost heroes.' Michael Smith The Official Secrets Act and the passing of time have prevented the Bletchley Park story from being told by many of its key participants. Here at last is a book which allows some of them to speak for the first time. Gordon Welchman was one of the Park's most important figures. Like Turing, his pioneering work was fundamental to the success of Bletchley Park and helped pave the way for the birth of the digital age. Yet, his story is largely unknown to many. His book, The Hut Six Story, was the first to reveal not only how they broke the codes, but how it was done on an industrial scale. Its publication created such a stir in GCHQ and the NSA that Welchman was forbidden to discuss the book or his wartime work with the media. In order to finally set the record straight, Bletchley Park historian and tour guide Joel Greenberg has drawn on Welchman's personal papers and correspondence with wart...
2010 ELECTRODEPOSITION GORDON RESEARCH CONFERENCE, AUGUST 1-6, 2010
Peter Searson
2010-08-06
The 2010 Gordon Conference on Electrodeposition will present cutting-edge research on electrodeposition with emphasis on (i) advances in basic science, (ii) developments in next-generation technologies, and (iii) new and emerging areas. The Conference will feature a wide range of topics, from atomic scale processes, nucleation and growth, thin film deposition, and electrocrystallization, to applications of electrodeposition in devices including microelectronics, solar energy, and power sources. The Conference will bring together investigators from a wide range of scientific disciplines, including chemical engineering, materials science and engineering, physics, and chemistry. The Conference will feature invited speakers at the forefront of the field, and a late-breaking news session that will provide the opportunity for graduate students, post-docs, and junior faculty to participate. The collegial atmosphere of this Conference, with scientific talks and poster sessions, as well as opportunities for informal gatherings in the afternoons and evenings, provides an avenue for scientists from different disciplines to discuss current issues and promotes cross-disciplinary collaborations in the various research areas represented. The Conference will be held at Colby-Sawyer College, located in the Mt. Kearsarge-Lake Sunapee Region of New Hampshire. The surrounding mountains, forests, and lakes provide a beautiful setting for this conference. The attendance is limited so early application is strongly advised.
Klein-Gordon-Wheeler-DeWitt-Schroedinger Equation
Pavsic, Matej
2011-01-01
We start from the Einstein-Hilbert action for the gravitational field in the presence of a point particle source, and cast the action into the corresponding phase space form. The dynamical variables of such a system satisfy the point particle mass shell constraint, the Hamilton and the momentum constraints of the canonical gravity. In the quantized theory, those constraints become operators that annihilate a state. A state can be represented by a wave functional $\\Psi$ that simultaneously satisfies the Klein-Gordon and the Wheeler-DeWitt-Schr\\"odinger equation. The latter equation, besides the term due to gravity, also contains the Schr\\"odinger like term, namely the derivative of $\\Psi$ with respect to time, that occurs because of the presence of the point particle. The particle's time coordinate, $X^0$, serves the role of time. Next, we generalize the system to $p$-branes, and find out that for a quantized spacetime filling brane there occurs an effective cosmological constant, proportional to the expectati...
2010 Thin Film & Small Scale Mechanical Behavior Gordon Research Conference
Dr. Thomas Balk
2010-07-30
Over the past decades, it has been well established that the mechanical behavior of materials changes when they are confined geometrically at least in one dimension to small scale. It is the aim of the 2010 Gordon Conference on 'Thin Film and Small Scale Mechanical Behavior' to discuss cutting-edge research on elastic, plastic and time-dependent deformation as well as degradation mechanisms like fracture, fatigue and wear at small scales. As in the past, the conference will benefit from contributions from fundamental studies of physical mechanisms linked to material science and engineering reaching towards application in modern applications ranging from optical and microelectronic devices and nano- or micro-electrical mechanical systems to devices for energy production and storage. The conference will feature entirely new testing methodologies and in situ measurements as well as recent progress in atomistic and micromechanical modeling. Particularly, emerging topics in the area of energy conversion and storage, such as material for batteries will be highlighted. The study of small-scale mechanical phenomena in systems related to energy production, conversion or storage offer an enticing opportunity to materials scientists, who can provide new insight and investigate these phenomena with methods that have not previously been exploited.
2012 MUTAGENESIS GORDON RESEARCH CONFERENCE, AUGUST 19-23, 2012
Demple, Bruce
2012-08-23
The delicate balance among cellular pathways that control mutagenic changes in DNA will be the focus of the 2012 Mutagenesis Gordon Research Conference. Mutagenesis is essential for evolution, while genetic stability maintains cellular functions in all organisms from microbes to metazoans. Different systems handle DNA lesions at various times of the cell cycle and in different places within the nucleus, and inappropriate actions can lead to mutations. While mutation in humans is closely linked to disease, notably cancers, mutational systems can also be beneficial. The conference will highlight topics of beneficial mutagenesis, including full establishment of the immune system, cell survival mechanisms, and evolution and adaptation in microbial systems. Equal prominence will be given to detrimental mutation processes, especially those involved in driving cancer, neurological diseases, premature aging, and other threats to human health. Provisional session titles include Branching Pathways in Mutagenesis; Oxidative Stress and Endogenous DNA Damage; DNA Maintenance Pathways; Recombination, Good and Bad; Problematic DNA Structures; Localized Mutagenesis; Hypermutation in the Microbial World; and Mutation and Disease.
Symmetry analysis of the Klein-Gordon equation in Bianchi I spacetimes
Paliathanasis, A.; Tsamparlis, M.; Mustafa, M. T.
2015-02-01
In this work we perform the symmetry classification of the Klein-Gordon equation in Bianchi I spacetime. We apply a geometric method which relates the Lie symmetries of the Klein-Gordon equation with the conformal algebra of the underlying geometry. Furthermore, we prove that the Lie symmetries which follow from the conformal algebra are also Noether symmetries for the Klein-Gordon equation. We use these results in order to determine all the potentials in which the Klein-Gordon admits Lie and Noether symmetries. Due to the large number of cases and for easy reference the results are presented in the form of tables. For some of the potentials we use the Lie admitted symmetries to determine the corresponding invariant solution of the Klein-Gordon equation. Finally, we show that the results also solve the problem of classification of Lie/Noether point symmetries of the wave equation in Bianchi I spacetime and can be used for the determination of invariant solutions of the wave equation.
Symmetry analysis of the Klein-Gordon equation in Bianchi I spacetimes
Paliathanasis, A; Mustafa, M T
2014-01-01
In this work we perform the symmetry classification of the Klein Gordon equation in Bianchi I spacetime. We apply a geometric method which relates the Lie symmetries of the Klein Gordon equation with the conformal algebra of the underlying geometry. Furthermore, we prove that the Lie symmetries which follow from the conformal algebra are also and Noether symmetries for the Klein Gordon equation. We use these resutls in order to determine all the potentials in which the Klein Gordon admits Lie and Noether symmetries. Due to the large number of cases and for easy reference the results are presented in the form of tables. For some of the potentials we use the Lie admitted symmetries to determine the corresponding invariant solution of the Klein Gordon equation. Finally, we show that the results also solve the problem of classification of Lie/Noether point symmetries of the wave equation in Bianchi I spacetime and can be used for the determination of invariant solutions of the wave equation.
Bernard de Gordon (fl. 1270-1330): medieval physician and teacher.
Pearn, John
2013-02-01
The Montpellier physician Bernard de Gordon flourished in the late Middle Ages in the era when university education first evolved in the training of European physicians. Fragmentary details of his life and medical influence are known from seven books, particularly his extensive (163 chapters) text Lilium Medicine and from Chaucer's reference to him in the Canterbury Tales. Chaucer lists Bernard de Gordon as one whose writings were part of the core curriculum of the best-trained European doctors of medieval Europe. Bernard de Gordon was one of that small group of medieval physicians who reverently followed Galenic lore which had endured for a thousand years yet who began to challenge its details and to experiment clinically with new methods of treatment. In his writings, Bernard de Gordon made the first reference to spectacles and to the hernial truss. His writings also contained detailed desiderata for the ethical best practice of medicine of his day, extending the principles of both Hippocrates and Haly ibn Abbas. Unlike many of the surviving writings of other medieval medical teachers, his texts have within them a tone of humility and acknowledged fallibility. Bernard de Gordon holds a small but significant place in the evolving pre-Renaissance chronology of medical professionalism.
2010 Tetrapyrroles, Chemistry & Biology of Gordon Research Conference
Angela Wilks
2010-07-30
The objective of the Chemistry & Biology of Tetrapyrroles Gordon Conference is to bring together researchers from diverse disciplines that otherwise would not interact. By bringing biologists, chemists, engineers and clinicians with a common interest in tetrapyrroles the conference provides a forum for cross-disciplinary ideas and collaboration. The perspective provided by biologists, chemists, and clinicians working in fields such as newly discovered defects in human porphyrin metabolism, the myriad of strategies for light harvesting in photosynthetic organisms, novel tetrapyrroles that serve as auxiliary chromophores or enzyme cofactors, synthetic strategies in the design of novel tetrapyrrole scaffolds, and tetrapyrrole based cell signaling and regulatory systems, makes this conference unique in the field. Over the years the growing evidence for the role of tetrapyrroles and their reactive intermediates in cell signaling and regulation has been of increasing importance at this conference. The 2010 conference on Chemistry & Biology of Tetrapyrroles will focus on many of these new frontiers as outlined in the preliminary program listed. Speakers will emphasize unpublished results and new findings in the field. The oral sessions will be followed by the highly interactive afternoon poster sessions. The poster sessions provide all conferees with the opportunity to present their latest research and to exchange ideas in a more informal setting. As in the past, this opportunity will continue during the nightly social gathering that takes place in the poster hall following the evening lectures. All conferees are encouraged to submit and present posters. At the conference the best poster in the areas of biology, chemistry and medicine will be selected by a panel of previous conference chairs.
RADIATION CHEMISTRY 2010 GORDON RESEARCH CONFERENCE JULY 18-23
Thomas Orlando
2010-07-23
The 2010 Gordon Conference on Radiation Chemistry will present cutting edge research regarding the study of radiation-induced chemical transformations. Radiation Chemistry or 'high energy' chemistry is primarily initiated by ionizing radiation: i.e. photons or particles with energy sufficient to create conduction band electrons and 'holes', excitons, ionic and neutral free radicals, highly excited states, and solvated electrons. These transients often interact or 'react' to form products vastly different than those produced under thermal equilibrium conditions. The non-equilibrium, non-thermal conditions driving radiation chemistry exist in plasmas, star-forming regions, the outer solar system, nuclear reactors, nuclear waste repositories, radiation-based medical/clinical treatment centers and in radiation/materials processing facilities. The 2010 conference has a strong interdisciplinary flavor with focus areas spanning (1) the fundamental physics and chemistry involved in ultrafast (atto/femtosecond) energy deposition events, (2) radiation-induced processes in biology (particularly spatially resolved studies), (3) radiation-induced modification of materials at the nanoscale and cosmic ray/x-ray mediated processes in planetary science/astrochemistry. While the conference concentrates on fundamental science, topical applied areas covered will also include nuclear power, materials/polymer processing, and clinical/radiation treatment in medicine. The Conference will bring together investigators at the forefront of their field, and will provide opportunities for junior scientists and graduate students to present work in poster format or as contributors to the Young Investigator session. The program and format provides excellent avenues to promote cross-disciplinary collaborations.
2012 CELLULAR & MOLECULAR FUNGAL BIOLOGY GORDON RESEARCH CONFERENCE, JUNE 17 - 22, 2012
Judith Berman
2012-06-22
The Gordon Research Conference on CELLULAR & MOLECULAR FUNGAL BIOLOGY was held at Holderness School, Holderness New Hampshire, June 17 - 22, 2012. The 2012 Gordon Conference on Cellular and Molecular Fungal Biology (CMFB) will present the latest, cutting-edge research on the exciting and growing field of molecular and cellular aspects of fungal biology. Topics will range from yeast to filamentous fungi, from model systems to economically important organisms, and from saprophytes and commensals to pathogens of plants and animals. The CMFB conference will feature a wide range of topics including systems biology, cell biology and morphogenesis, organismal interactions, genome organisation and regulation, pathogenesis, energy metabolism, biomass production and population genomics. The Conference was well-attended with 136 participants. Gordon Research Conferences does not permit publication of meeting proceedings.
Non-minimally coupled bulk scalar fields in sine-Gordon braneworld models
Moazzen, Masoumeh; Ghalenovi, Zahra
2017-10-01
In this paper, we investigate localization of bulk scalar fields in two types of five-dimensional braneworld models given by sine-Gordon potentials (SG). The sine-Gordon and Double sine-Gordon (DSG) branes are employed to produce different thick brane setups. In both scenarios, we include the bulk mass and non-minimally coupled terms in the global action and obtain some implications on the volcano-like potentials of the Kaluza-Klein modes associated to the corresponding Schrödinger-like equations. Also, we find that minimally and non-minimally coupled massive bulk scalar fields can be localized on SG and DSG branes if their bulk mass obeys an upper bound. Furthermore, it is shown that at the critical value of the non-minimal coupling constant the bulk scalar field cannot be localized on the branes.
A Bohmian approach to the perturbations of non-linear Klein--Gordon equation
FARAMARZ RAHMANI; MEHDI GOLSHANI; MOHSEN SARBISHEI
2016-08-01
In the framework of Bohmian quantum mechanics, the Klein--Gordon equation can be seen as representing a particle with mass m which is guided by a guiding wave $\\phi(x)$ in a causal manner. Here a relevant question is whether Bohmian quantum mechanics is applicable to a non-linear Klein--Gordon equation? We examine this approach for $\\phi_{4}(x)$ and sine-Gordon potentials. It turns out that this method leads to equations for quantum states which are identical to those derived by field theoretical methods used for quantum solitons. Moreover, the quantum force exerted on the particle can be determined. This method can be used for other non-linear potentials as well.
ASYMPTOTIC THEORY OF INITIAL VALUE PROBLEMS FOR NONLINEAR PERTURBED KLEIN-GORDON EQUATIONS
GAN Zai-hui; ZHANG Jian
2005-01-01
The asymptotic theory of initial value problems for a class of nonlinear perturbed Klein-Gordon equations in two space dimensions is considered. Firstly, using the contraction mapping principle, combining some priori estimates and the convergence of Bessel function, the well-posedness of solutions of the initial value problem in twice continuous differentiable space was obtained according to the equivalent integral equation of initial value problem for the Klein-Gordon equations. Next, formal approximations of initial value problem was constructed by perturbation method and the asymptotic validity of the formal approximation is got. Finally, an application of the asymptotic theory was given, the asymptotic approximation degree of solutions for the initial value problem of a specific nonlinear Klein-Gordon equation was analyzed by using the asymptotic approximation theorem.
2012 Gordon Research Conference on Cellular and Molecular Fungal Biology, Final Progress Report
Berman, Judith [Univ. of Minnesota, Minneapolis, MN (United States)
2012-06-22
The Gordon Research Conference on Cellular and Molecular Fungal Biology was held at Holderness School, Holderness New Hampshire, June 17 - 22, 2012. The 2012 Gordon Conference on Cellular and Molecular Fungal Biology (CMFB) will present the latest, cutting-edge research on the exciting and growing field of molecular and cellular aspects of fungal biology. Topics will range from yeast to filamentous fungi, from model systems to economically important organisms, and from saprophytes and commensals to pathogens of plants and animals. The CMFB conference will feature a wide range of topics including systems biology, cell biology and morphogenesis, organismal interactions, genome organisation and regulation, pathogenesis, energy metabolism, biomass production and population genomics. The Conference was well-attended with 136 participants. Gordon Research Conferences does not permit publication of meeting proceedings.
Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations
González, J.A., E-mail: jalbertgonz@yahoo.es [Department of Physics, Florida International University, Miami, FL 33199 (United States); Department of Natural Sciences, Miami Dade College, 627 SW 27th Ave., Miami, FL 33135 (United States); Bellorín, A., E-mail: alberto.bellorin@ucv.ve [Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Apartado Postal 47586, Caracas 1041-A (Venezuela, Bolivarian Republic of); García-Ñustes, M.A., E-mail: monica.garcia@pucv.cl [Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059 (Chile); Guerrero, L.E., E-mail: lguerre@usb.ve [Departamento de Física, Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1080-A (Venezuela, Bolivarian Republic of); Jiménez, S., E-mail: s.jimenez@upm.es [Departamento de Matemática Aplicada a las TT.II., E.T.S.I. Telecomunicación, Universidad Politécnica de Madrid, 28040-Madrid (Spain); Vázquez, L., E-mail: lvazquez@fdi.ucm.es [Departamento de Matemática Aplicada, Facultad de Informática, Universidad Complutense de Madrid, 28040-Madrid (Spain)
2017-06-28
We prove analytically the existence of an infinite number of internal (shape) modes of sine-Gordon solitons in the presence of some inhomogeneous long-range forces, provided some conditions are satisfied. - Highlights: • We have found exact kink solutions to the perturbed sine-Gordon equation. • We have been able to study analytically the kink stability problem. • A kink equilibrated by an exponentially-localized perturbation has a finite number of oscillation modes. • A sufficiently broad equilibrating perturbation supports an infinite number of soliton internal modes.
Thermal sine-Gordon system in the presence of different types of dissipation
Salerno, M.; Samuelsen, Mogens Rugholm; Svensmark, Henrik
1988-01-01
The effects of thermal fluctuations on solitons and phonons of the sine-Gordon system are investigated in the presence of a αφt-βφxxt dissipation. The analysis requires the assumption of a more general autocorrelation function for the noise than the one used in previous works. We verify that this......The effects of thermal fluctuations on solitons and phonons of the sine-Gordon system are investigated in the presence of a αφt-βφxxt dissipation. The analysis requires the assumption of a more general autocorrelation function for the noise than the one used in previous works. We verify...
Intermittent Switching between Soliton Dynamic States in a Perturbed Sine-Gordon Model
Sørensen, Mads Peter; Arley, N.; Christiansen, Peter Leth
1983-01-01
Chaotic intermittency between soliton dynamic states has been found in a perturbed sine-Gordon system in the absence of an external ac driving term. The system is a model of a long Josephson oscillator with constant loss and bias current in an external magnetic field. The results predict the exis......Chaotic intermittency between soliton dynamic states has been found in a perturbed sine-Gordon system in the absence of an external ac driving term. The system is a model of a long Josephson oscillator with constant loss and bias current in an external magnetic field. The results predict...
On the Monge-Ampère equivalent of the sine-Gordon equation
Ferapontov, E V
1994-01-01
Surfaces of constant negative curvature in Euclidean space can be described by either the sine-Gordon equation for the angle between asymptotic directions, or a Monge-Ampère equation for the graph of the surface. We present the explicit form of the correspondence between these two integrable non-linear partial differential equations using their well-known properties in differential geometry. We find that the cotangent of the angle between asymptotic directions is directly related to the mean curvature of the surface. This is a Bäcklund-type transformation between the sine-Gordon and Monge-Ampère equations.
Nonabelian sine-Gordon theory and its application to nonlinear optics
Park, Q H; Park, Q Han
1996-01-01
Using a field theory generalization of the spinning top motion, we construct nonabelian generalizations of the sine-Gordon theory according to each symmetric spaces. A Lagrangian formulation of these generalized sine-Gordon theories is given in terms of a deformed gauged Wess-Zumino-Witten action which also accounts for integrably perturbed coset conformal field theories. As for physical applications, we show that they become precisely the effective field theories of self-induced transparency in nonlinear optics. This provides a dictionary between field theory and nonlinear optics.
2012 Gordon Research Conference on Microbial Stress Response, Schedule and Speaker/Poster Program
Donohue, Timothy J. [Univ. of Wisconsin, Madison, WI (United States)
2012-07-20
The Gordon Research Conference on Microbial Stress Response was held at Mount Holyoke College, South Hadley, Massachusetts, July 15-20, 2012. The Conference was well-attended with 180 participants. The 2012 Microbial Stress Responses Gordon Research Conference will provide a forum for the open reporting of recent discoveries on the diverse mechanisms employed by microbes to respond to stress. Approaches range from analysis at the molecular level (how are signals perceived and transmitted to change gene expression or function) to cellular and microbial community responses. Attached is a copy of the formal schedule and speaker program and the poster program.
The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space
B. Mirza; M. Mohadesi
2004-01-01
We study the Dirac and the Klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics ofa particle in a commutative space and in a constant magnetic field. The Dirac oscillator in a noncommutative space has a similar equation to the equation of motion for a relativistic fermion in a commutative space and in a magnetic field, however a new exotic term appears, which implies that a charged fermion in a noncommutative space has an electric dipole moment.
The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space
B.Mirza; M.Mohadesi
2004-01-01
We study the Dirac and the Klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics of a particle in a commutative space and in a constant magnetic field. The Dirac oscillator in a noncommutative space has a similar equation to the equation of motion for a relativistic fermion in a commutative space and in a magnetic field, however a new exotic term appears, which implies that a charged fermion in a noncommutative space has an electric dipole moment.
Solutions for the Klein-Gordon and Dirac equations on the lattice based on Chebyshev polynomials
Faustino, Nelson
2016-01-01
The main goal of this paper is to adopt a multivector calculus scheme to study finite difference discretizations of Klein-Gordon and Dirac equations for which Chebyshev polynomials of the first kind may be used to represent a set of solutions. The development of a well-adapted discrete Clifford calculus framework based on spinor fields allows us to represent, using solely projection based arguments, the solutions for the discretized Dirac equations from the knowledge of the solutions of the discretized Klein-Gordon equation. Implications of those findings on the interpretation of the lattice fermion doubling problem is briefly discussed.
Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit
Suárez, Abril
2015-01-01
Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit. We consider a complex self-interacting scalar field with an arbitrary potential of the form $V(|\\varphi|^2)$. We compare the results with simplified models in which the gravitational potential is introduced by hand in the Klein-Gordon equation, and assumed to satisfy a (generalized) Poisson equation. Nonrelativistic hydrodynamic equations based on the Schr\\"odinger-Poisson equations or on the Gross-Pitaevskii-Poisson equations are recovered in the limit $c\\rightarrow +\\infty$.
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
Alvarez-Nodarse, R.; Quintero, N. R.; Mertens, F. G.
2014-10-01
A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach leads to the study of a double sine-Gordon equation with an effective potential and an effective additive force. Direct numerical simulations show how the appearance of two connected π kinks and of an individual π kink can be controlled via the frequency. An anomalous negative mobility phenomenon is also predicted by theory and confirmed by simulations of the original equation.
Hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit
Suárez, Abril; Chavanis, Pierre-Henri
2015-11-01
Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit. We consider a complex self-interacting scalar field with an arbitrary potential of the form V(|ϕ|2). We compare the results with simplified models in which the gravitational potential is introduced by hand in the Klein-Gordon equation, and assumed to satisfy a (generalized) Poisson equation. Nonrelativistic hydrodynamic equations based on the Schrodinger-Poisson equations or on the Gross-Pitaevskii-Poisson equations are recovered in the limit c → +∞.
Exact Solutions of the Klein-Gordon Equation with a New Anharmonic Oscillator Potential
ZHANG Min-Cang; WANG Zhen-Bang
2005-01-01
@@ We solve the Klein-Gordon equation with a new anharmonic oscillator potential and present the exact solutions.It is shown that under the condition of equal scalar and vector potentials, the Klein-Gordon equation could be separated into an angular equation and a radial equation. The angular solutions are the associated-Legendre polynomial and the radial solutions are expressed in terms of the confluent hypergeometric functions. Finally,the energy equation is obtained from the boundary condition satisfied by the radial wavefunctions.
Scattering of Klein–Gordon particles by a Kink-like potential
Hassanabadi, H., E-mail: h.hasanabadi@shahroodut.ac.ir [Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood (Iran, Islamic Republic of); Lu, Liangliang [National Laboratory of Solid State Microstructures and School of Physics, Nanjing University, Nanjing, 210093 (China); Maghsoodi, E. [Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood (Iran, Islamic Republic of); Liu, Guanghui [State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275 (China); Zarrinkamar, S. [Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar (Iran, Islamic Republic of)
2014-03-15
The Klein–Gordon equation for the non-minimal vector and a scalar Kink-like potential is solved in terms of the hypergeometric functions. The scattering problem, i.e. the transmission and reflection coefficients, is studied as well. -- Highlights: •The Klein–Gordon equation for the non-minimal vector and a scalar Kink-like potential is solved. •We have calculated the corresponding transmission and reflection coefficients. •We discussed the behavior of the reflection and transmission coefficients vs. energy.
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models.
Alvarez-Nodarse, R; Quintero, N R; Mertens, F G
2014-10-01
A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach leads to the study of a double sine-Gordon equation with an effective potential and an effective additive force. Direct numerical simulations show how the appearance of two connected π kinks and of an individual π kink can be controlled via the frequency. An anomalous negative mobility phenomenon is also predicted by theory and confirmed by simulations of the original equation.
Analytical solutions for Dirac and Klein-Gordon equations using Backlund transformations
Zabadal, Jorge R.; Borges, Volnei, E-mail: jorge.zabadal@ufrgs.br, E-mail: borges@ufrgs.br [Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, RS (Brazil). Dept. de Engenharia Mecanica; Ribeiro, Vinicius G., E-mail: vinicius_ribeiro@uniritter.edu.br [Centro Universitario Ritter dos Reis (UNIRITTER), Porto Alegre, RS (Brazil); Santos, Marcio, E-mail: marciophd@gmail.com [Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre, RS (Brazil). Centro de Estudos Interdisciplinares
2015-07-01
This work presents a new analytical method for solving Klein-Gordon type equations via Backlund transformations. The method consists in mapping the Klein-Gordon model into a first order system of partial differential equations, which contains a generalized velocity field instead of the Dirac matrices. This system is a tensor model for quantum field theory whose space solution is wider than the Dirac model in the original form. Thus, after finding analytical expressions for the wave functions, the Maxwell field can be readily obtained from the Dirac equations, furnishing a self-consistent field solution for the Maxwell-Dirac system. Analytical and numerical results are reported. (author)
Analytical approximate solution for nonlinear space-time fractional Klein-Gordon equation
Khaled A.Gepreel; Mohamed S.Mohamed
2013-01-01
The fractional derivatives in the sense of Caputo and the homotopy analysis method are used to construct an approximate solution for the nonlinear space-time fractional derivatives Klein-Gordon equation.The numerical results show that the approaches are easy to implement and accurate when applied to the nonlinear space-time fractional derivatives KleinGordon equation.This method introduces a promising tool for solving many space-time fractional partial differential equations.This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.
2017-01-01
plate- glass door that leads into the former mess hall on the west side (front) of Building 33800 at Fort Gordon, GA (ERDC- CERL, 2016... glass door on the north side of Building 33800 at Fort Gordon, GA (ERDC-CERL, 2015...63 Figure 80. Detail of a replacement ceiling light fixture on the second floor of Building 33800 at Fort Gordon, GA
Hanson, Thomas
2012-08-10
The 2012 Gordon Conference will present and discuss cutting-edge research in the field of microbial metabolism of C1 compounds. The conference will feature the roles and application of C1 metabolism in natural and synthetic systems at scales from molecules to ecosystems. The conference will stress molecular aspects of the unique metabolism exhibited by autotrophic bacteria, methanogens, methylotrophs, aerobic and anaerobic methanotrophs, and acetogens.
Soliton solutions of the generalized sinh-Gordon equation by the binary (′/)-expansion method
A Neirameh
2015-10-01
The aim of this paper is to extend the applications of (′/)-expansion method to solve a generalized sinh-Gordon equation. In fact, the binary (′/)-expansion method is introduced for finding different new exact solutions. It is shown that this method is a powerful mathematical tool for solving nonlinear evolution equations with time-dependent coefficients in mathematical physics.
Abundant new travelling wave solutions for the (2 + 1)-dimensional Sine-Gordon equation
Li Zhu [College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000 (China)], E-mail: lizhu1813@163.com; Dong Huanhe [College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510 (China)
2008-07-15
Abundant new travelling wave solutions of the (2 + 1)-dimensional Sine-Gordon equation are obtained by the generalized Jacobi elliptic function method. The solutions obtained include the kink-shaped solutions, bell-shaped solutions, singular solutions and periodic solutions.
Symmetry Analysis of (2+1)-Dimensional Nonlinear Klein-Gordon Equations
唐晓艳; 楼森岳
2002-01-01
We have obtained two types of two-dimensional similarity reductions for the (2 +1)-dimensional Klein-Gordon system using the standard classical Lie group approach with computer algebra. The well-known one-dimensional reductions, radial and travelling reductions are equivalent to the two special cases of our general two-dimensional reductions.
Suurbritannia valitsuse etteotsa asub täna shotlane Gordon Brown / Siim Trumm
Trumm, Siim
2007-01-01
Suurbritannia peaministriks ja Tööpartei juhiks sai endine rahandusminister Gordon Brown. Tema elukäigust, karjäärist ja poliitilistest prioriteetidest. Vt. samas: Suured väljakutsed ja küsitav toetus; Briti Tööpartei aseesimeheks valiti Harriet Harman
Donker, H. C.; Katsnelson, M. I.; De Raedt, H.; Michielsen, K.
The logical inference approach to quantum theory, proposed earlier De Raedt et al. (2014), is considered in a relativistic setting. It is shown that the Klein-Gordon equation for a massive, charged, and spinless particle derives from the combination of the requirements that the space-time data
Breather kink-antikink-pair conversion in the driven sine-Gordon system
Lomdahl, P. S.; Olsen, O. H.; Samuelsen, Mogens Rugholm
1984-01-01
Breather excitations in the sine-Gordon equation influenced by constant driving forces are investigated—large driving forces cause the breather to split into a kk― (2π kink-2π antikink) pair while for small driving forces the breather excitations enter stationary modes. A perturbation method...
Sine-Gordon 2-pi-kink dynamics in the presence of small perturbations
Olsen, O. H.; Samuelsen, Mogens Rugholm
1983-01-01
The influence of external driving forces on the 2π-kink solution to the sine-Gordon equation is examined. The analysis is based on the approach that the solution to the problem can be divided into a 2π-kink part and a background or vacuum part. The behavior of the 2π kink depends strongly...
Internal oscillation frequencies and anharmonic effects for the double sine-Gordon kink
Salerno, M.; Samuelsen, Mogens Rugholm
1989-01-01
A simple derivation of the small oscillation frequency around 4π-kink solutions of the double sine-Gordon equation is presented. Small corrections to these frequencies due to anharmonic effects are also numerically and analytically investigated. The analysis is based on energetic considerations...
Stabilization of breathers in a parametrically driven sine-Gordon system with loss
Grønbech-Jensen, N.; Kivshar, Yu. S.; Samuelsen, Mogens Rugholm
1991-01-01
We demonstrate that in a parametrically driven sine-Gordon system with loss, a breather, if driven, can be maintained in a steady state at half the external frequency. In the small-amplitude limit the system is described by the effective perturbed nonlinear Schrödinger equation. For an arbitrary...
Reduced Loop Quantization with four Klein-Gordon Scalar Fields as Reference Matter
Giesel, Kristina
2016-01-01
In this paper we perform a reduced phase space quantization of gravity using four Klein-Gordon scalar fields as reference matter as an alternative to the Brown-Kucha\\v{r} dust model in [1] where eight (dust) scalar fields are used. We compare our results to an earlier model by Domagala et. al. [2] where only one Klein-Gordon scalar field was considered as reference matter for the Hamiltonian constraint. As a result we find that the choice of four Klein-Gordon scalar fields as reference matter leads to a reduced dynamical model that cannot be quantized using loop quantum gravity techniques. However, we further discuss a slight generalization of the action for the four Klein-Gordon scalar fields and show that this leads to a model which can be quantized in the framework of loop quantum gravity. Particularly, considering the model by Domagala et. al. [2] and the one introduced in this work we are able to compare Dirac and reduced phase space quantization.
Stationary Solutions of the Klein-Gordon Equation in a Potential Field
Bi, Guangqing
2010-01-01
We seek to introduce a mathematical method to derive the Klein-Gordon equation and a set of relevant laws strictly, which combines the relativistic wave functions in two inertial frames of reference. If we define the stationary state wave functions as special solutions like $\\Psi(\\mathbf{r},t)=\\psi(\\mathbf{r})e^{-iEt/\\hbar}$, and define $m=E/c^2$, which is called the mass of the system, then the Klein-Gordon equation can clearly be expressed in a better form when compared with the non-relativistic limit, which not only allows us to transplant the solving approach of the Schr\\"{o}dinger equation into the relativistic wave equations, but also proves that the stationary solutions of the Klein-Gordon equation in a potential field have the probability significance. For comparison, we have also discussed the Dirac equation. By introducing the concept of system mass into the Klein-Gordon equation with the scalar and vector potentials, we prove that if the Schr\\"{o dinger equation in a certain potential field can be ...
2012 Gordon Research Conference, Electron donor-acceptor interactions, August 5-10 2012
McCusker, James [Michigan State Univ., East Lansing, MI (United States)
2012-08-10
The upcoming incarnation of the Gordon Research Conference on Electron Donor Acceptor Interactions will feature sessions on classic topics including proton-coupled electron transfer, dye-sensitized solar cells, and biological electron transfer, as well as emerging areas such as quantum coherence effects in donor-acceptor interactions, spintronics, and the application of donor-acceptor interactions in chemical synthesis.
Uniform decay for a local dissipative Klein-Gordon-Schrodinger type system
Marilena N. Poulou
2012-10-01
Full Text Available In this article, we consider a nonlinear Klein-Gordon-Schrodinger type system in $mathbb{R}^n$, where the nonlinear term exists and the damping term is effective. We prove the existence and uniqueness of a global solution and its exponential decay. The result is achieved by using the multiplier technique.
Kai Tsuruta
2013-05-01
Full Text Available We prove the existence of the wave operator for the Klein-Gordon-Schrodinger system with Yukawa coupling. This non-linearity type is below Strichartz scaling, and therefore classic perturbation methods will fail in any Strichartz space. Instead, we follow the "first iteration method" to handle these critical non-linearities.
Donker, H. C.; Katsnelson, M. I.; De Raedt, H.; Michielsen, K.
2016-01-01
The logical inference approach to quantum theory, proposed earlier De Raedt et al. (2014), is considered in a relativistic setting. It is shown that the Klein-Gordon equation for a massive, charged, and spinless particle derives from the combination of the requirements that the space-time data colle
Group classification and conservation laws of the generalized Klein-Gordon-Fock equation
Muatjetjeja, B.
2016-08-01
In the present paper, we perform Lie and Noether symmetries of the generalized Klein-Gordon-Fock equation. It is shown that the principal Lie algebra, which is one-dimensional, has several possible extensions. It is further shown that several cases arise for which Noether symmetries exist. Exact solutions for some cases are also obtained from the invariant solutions of the investigated equation.
Determinant representation for a quantum correlation function of the lattice sine-Gordon model
Essler, F H L; Korepin, V E
1995-01-01
We consider a completely integrable lattice regularization of the sine--Gordon model with discrete space and continuous time. We derive a determinant representation for a correlation function which in the continuum limit turns into the correlation function of local fields.
Suurbritannia valitsuse etteotsa asub täna shotlane Gordon Brown / Siim Trumm
Trumm, Siim
2007-01-01
Suurbritannia peaministriks ja Tööpartei juhiks sai endine rahandusminister Gordon Brown. Tema elukäigust, karjäärist ja poliitilistest prioriteetidest. Vt. samas: Suured väljakutsed ja küsitav toetus; Briti Tööpartei aseesimeheks valiti Harriet Harman
Darboux Transformations for Energy-Dependent Potentials and the Klein-Gordon Equation
Schulze-Halberg, Axel, E-mail: axgeschu@iun.edu [Indiana University Northwest, Department of Mathematics and Actuarial Science (United States)
2013-06-15
We construct explicit Darboux transformations for a generalized Schroedinger-type equation with energy-dependent potential, a special case of which is the stationary Klein-Gordon equation. Our results complement and generalize former findings (Lin et al., Phys Lett A 362:212-214, 2007).
The spectrum of boundary states in sine-Gordon model with integrable boundary conditions
Bajnok, Z; Takács, G; Tóth, G
2002-01-01
The bound state spectrum and the associated reflection factors are determined for the sine-Gordon model with arbitrary integrable boundary condition by closing the bootstrap. Comparing the symmetries of the bound state spectrum with that of the Lagrangian it is shown how one can "derive" the relationship between the UV and IR parameters conjectured earlier.
Some semi-classical issues in boundary sine-Gordon model
Kormos, M
2002-01-01
The semi-classical quantisation of the two lowest energy static solutions of boundary sine-Gordon model is considered. A relation between the Lagrangian and bootstrap parameters is established by comparing their quantum corrected energy difference and the exact one. This relation is also confirmed by studying the semi-classical limit of soliton reflections on the boundary.
Spectrum of boundary states in N=1 SUSY sine-Gordon theory
Bajnok, Z; Takács, G
2002-01-01
We consider N=1 supersymmetric sine-Gordon theory (SSG) with supersymmetric integrable boundary conditions (boundary SSG = BSSG). We find two possible ways to close the boundary bootstrap for this model, corresponding to two different choices for the boundary supercharge. We argue that these two bootstrap solutions should correspond to the two integrable Lagrangian boundary theories considered recently by Nepomechie.
New Doubly Periodic Solutions for the Coupled Nonlinear Klein-Gordon Equations
LIU Chun-Ping
2005-01-01
By using the general solutions of a new coupled Riccati equations, a direct algebraic method is described to construct doubly periodic solutions (Jacobi elliptic function solution) for the coupled nonlinear Klein-Gordon equations.It is shown that more doubly periodic solutions and the corresponding solitary wave solutions and trigonometric function solutions can be obtained in a unified way by this method.
Zhao Caidi; Zhou Shengfan; Li Yongsheng
2008-01-01
This note discusses the long time behavior of solutions for nonautonomous weakly dissipative Klein-Gordon-Schrodinger equations with homogeneous Dirichlet bound-ary condition. The authors prove the existence of compact kernel sections for the associated process by using a suitable decomposition of the equations.
Fusing defect for the N=2 super sinh-Gordon model
Spano, N I; Gomes, J F; Zimerman, A H
2016-01-01
In this paper we derive the type-II integrable defect for the N = 2 supersymmetric sinh-Gordon (sshG) model by using the fusing procedure. In particular, we show explicitly the conservation of the modified energy, momentum and supercharges.
Bound State Solutions of Klein-Gordon Equation with the Kratzer Potential
M. Ko(c)ak
2007-01-01
The relativistic problem of spinless particle subject to a Kratzer potential is analysed. Bound state solutions for s-waves are found by separating the Klein-Gordon equation into two parts. Unlike the similar works in the literature, the separation make it possible to see explicitly the relativistic contributions, if any, to the solution in the non-relativistic limit.
Maxim Olegovich Korpusov
2012-07-01
Full Text Available In this article the initial-boundary-value problem for generalized dissipative high-order equation of Klein-Gordon type is considered. We continue our study of nonlinear hyperbolic equations and systems with arbitrary positive energy. The modified concavity method by Levine is used for proving blow-up of solutions.
Gordon Brown lubab valijal riigieelarvet ümber teha / Siim Trumm
Trumm, Siim
2007-01-01
Peaminister Gordon Brown kavandab mitmeid reforme, et viia riigivõim rahvale lähemale. Inglismaa kümne piirkonna inimestele antakse võimalus otsustada rahvahääletuse kaudu kohaliku eelarve jaotamise üle. Lisa: Browni ja leiboristide toetus kasvab
Exact Solutions of the Klein-Gordon Equation with Hylleraas Potential
Ikot, Akpan N; Ita, Benedict I
2011-01-01
We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function are also obtained and expressed in terms of Jacobi Polynomials
GLOBAL SOLUTIONS AND FINITE TIME BLOW UP FOR DAMPED KLEIN-GORDON EQUATION
Runzhang XU; Yunhua DING
2013-01-01
We study the Cauchy problem of strongly damped Klein-Gordon equation.Global existence and asymptotic behavior of solutions with initial data in the potential well are derived.Moreover,not only does finite time blow up with initial data in the unstable set is proved,but also blow up results with arbitrary positive initial energy are obtained.
The acoustical Klein-Gordon equation: the wave-mechanical step and barrier potential functions.
Forbes, Barbara J; Pike, E Roy; Sharp, David B
2003-09-01
The transformed form of the Webster equation is investigated. Usually described as analogous to the Schrödinger equation of quantum mechanics, it is noted that the second-order time dependency defines a Klein-Gordon problem. This "acoustical Klein-Gordon equation" is analyzed with particular reference to the acoustical properties of wave-mechanical potential functions, U(x), that give rise to geometry-dependent dispersions at rapid variations in tract cross section. Such dispersions are not elucidated by other one-dimensional--cylindrical or conical--duct models. Since Sturm-Liouville analysis is not appropriate for inhomogeneous boundary conditions, the exact solution of the Klein-Gordon equation is achieved through a Green's-function methodology referring to the transfer matrix of an arbitrary string of square potential functions, including a square barrier equivalent to a radiation impedance. The general conclusion of the paper is that, in the absence of precise knowledge of initial conditions on the area function, any given potential function will map to a multiplicity of area functions of identical relative resonance characteristics. Since the potential function maps uniquely to the acoustical output, it is suggested that the one-dimensional wave physics is both most accurately and most compactly described within the Klein-Gordon framework.
Exact Analytical Solution of the Klein-Gordon Equation in the Generalized Woods-Saxon Potential
Bayrak, O.; Sahin, D.
2015-09-01
The exact analytical solution of the Klein-Gordon equation for the spin-0 particles in the generalized Woods-Saxon potential is presented. The bound state energy eigenvalues and corresponding wave functions are obtained in the closed forms. The correlations between the potential parameters and energy eigenvalues are examined for π0 particles.
Soliton-potential interaction in the Nonlinear Klein-Gordon Model
Saadatmand, Danial
2011-01-01
Interaction of solitons with external potentials in nonlinear Klein-Gordon field theory is investigated using an improved model. Presented model is constructed with a better approximation for adding the potential to the lagrangian through the metric of background space-time. The results of the model are compared with the another model and the differences are discussed.
Rojas, Clara
2014-09-01
We solve the Klein-Gordon equation for a step potential with hyperbolic tangent potential. The scattering solutions are derived in terms of hypergeometric functions. The reflection coefficient R and transmission coefficient T are calculated, we observed superradiance and transmission resonances.
Onyeaju, M. C.; Ikot, A. N.; Chukwuocha, E. O.; Obong, H. P.; Zare, S.; Hassanabadi, H.
2016-09-01
Scattering and bound states solution for the one-dimensional Klein-Gordon particle with Hylleraas potential is presented within the frame work of position dependent effective mass formalism. We calculate in detail the reflection and transmission coefficients using the properties of hypergeometric functions and the equation of continuity of the wave functions.
Exact solutions of the Klein-Gordon equation with Makarov potential and a recurrence relation
Zhang Min-Cang; Wang Zhen-Bang
2007-01-01
In this paper, the Klein-Gordon equation with equal scalar and vector Makarov potentials is studied by the factorization method. The energy equation and the normalized bound state solutions are obtained, a recurrence relation between the different principal quantum number n corresponding to a certain angular quantum number e is established and some special cases of Makarov potential are discussed.
A generalized exp-function method for multiwave solutions of sine-Gordon equation
Sheng Zhang; Jian Wang; Au-Xue Peng; Bin Cai
2013-11-01
In this paper, the exp-function method is generalized to sine-Gordon (sG) equation and single-, double- and three-wave solutions are obtained. It is shown that the generalized exp-function method combined with appropriate anstaz may provide a straightforward, effective and alternative method for constructing multiwave solutions of some nonlinear partial differential equations.
Fusing defect for the N = 2 super sinh-Gordon model
Spano, N. I.; Aguirre, A. R.; Gomes, J. F.; Zimerman, A. H.
2016-01-01
In this paper we derive the type-II integrable defect for the N =2 supersymmetric sinh-Gordon (sshG) model by using the fusing procedure. In particular, we show explicitly the conservation of the modified energy, momentum and supercharges.
Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results
Pawellek, Michael
2008-01-01
We consider the semiclassical quantization of sine-Gordon solitons on the circle with periodic and anti-periodic boundary conditions. The 1-loop quantum corrections to the mass of the solitons are determined using zeta function regularization in the integral representation. We compare the semiclassical results with exact numerical calculations in the literature and find excellent agreement even outside the plain semiclassical regime.
Positive and ground state solutions for the critical Klein-Gordon-Maxwell system with potentials
Carriao, Paulo C; Miyagaki, Olimpio H
2010-01-01
In this paper we study a class of Klein-Gordon-Maxwell system when the nonlinearity exhibits critical growth. First we prove both existence and ground state solutions for this system with a periodic potencial V, and then we show the existence in the case that a nonperiodic potencial V is introduced.
2004 Electron Donor Acceptor Interactions Gordon Conference - August 8-13, 2004
GUILFORD JONES; S ST
2005-09-14
The 2004 Gordon Conference on Donor/Acceptor Interactions will take place at Salve Regina University in Newport, Rhode Island on August 8-13, 2004. The conference will be devoted to the consequences of charge interaction and charge motion in molecular and materials systems.
Gordon Brown lubab valijal riigieelarvet ümber teha / Siim Trumm
Trumm, Siim
2007-01-01
Peaminister Gordon Brown kavandab mitmeid reforme, et viia riigivõim rahvale lähemale. Inglismaa kümne piirkonna inimestele antakse võimalus otsustada rahvahääletuse kaudu kohaliku eelarve jaotamise üle. Lisa: Browni ja leiboristide toetus kasvab
Belich, H; Paunov, R R
1999-01-01
By studying the {\\it internal} Riemannian geometry of the surfaces of constant negative scalar curvature, we obtain a natural map between the Liouville, and the sine-Gordon equations. First, considering isometric immersions into the Lobachevskian plane, we obtain an uniform expression for the general (locally defined) solution of both the equations. Second, we prove that there is a Lie-Bäcklund transformation interpolating between Liouville and sine-Gordon. Third, we use isometric immersions into the Lobachevskian plane to describe sine-Gordon N-solitons explicitly.
Ghafourian, M.; Hassanabadi, H.
2016-06-01
The Shannon information entropies for the Klein-Gordon equations are evaluated for the Poschl-Teller potential, and the position-space information entropies for the ground and the excited states are calculated.
Schulze-Halberg, Axel [Department of Science, University of Colima, Bernal Diaz del Castillo 340, Col. Villas San Sebastian, C.P. 28045, Colima, Col. (Mexico)
2006-10-15
A form-preserving transformation for the time-dependent Klein-Gordon equation (TKGE) is derived. Existence of the transformation depends strongly on the shape of the vector and scalar potentials in the TKGE. We discuss the special case of the transformation between the TKGE and the stationary Klein-Gordon equation, which can be used to generate time-dependent solvable cases out of stationary solvable cases.
H.Hassanabadi; S.S.Hosseini; Z.Molaee
2013-01-01
We study the Klein-Gordon oscillator in commutative,noncommutative space,and phase space with psudoharmonic potential under magnetic field hence the other choice is studying the Klein-Gordon equation oscillator in the absence of magnetic field.In this work,we obtain energy spectrum and wave function in different situations by NU method so we show our results in tables.
Support for the 2001 Gordon Research Conference on the Origins of Solar Systems
Stevenson, David J.
2002-01-01
This grant provided partial support for participants at the Gordon Research Conference on Origins of Solar Systems, held at Connecticut College, June 17 through June 22, 2001. This conference was chaired by the PI (David Stevenson) and Pat Cassell (NASA Ames) was Vice-Chair. In addition to the money provided by this grant (15,000), the Gordon Research Conference organization provided about 22,000 (in large part from registration fees) and BPI provided 10,000 (through Director David Black); the latter targeted primarily for students and postdocs. Accordingly the grant money from NASA was used to cover the costs of registration and travel for about one half of the invited speakers (22 in total) and discussion leaders (about 10 in total).
The phase-space structure of the Klein-Gordon field
Best, C; Greiner, W
1993-01-01
The formalism based on the equal-time Wigner function of the two-point correlation function for a quantized Klein--Gordon field is presented. The notion of the gauge-invariant Wigner transform is introduced and equations for the corresponding phase-space calculus are formulated. The equations of motion governing the Wigner function of the Klein--Gordon field are derived. It is shown that they lead to a relativistic transport equation with electric and magnetic forces and quantum corrections. The governing equations are much simpler than in the fermionic case which has been treated earlier. In addition the newly developed formalism is applied towards the description of spontaneous symmetry breakdown.
Supersymmetric analogs of the Gordon-Andrews identities, and related TBA systems
Melzer, E
1994-01-01
The Gordon-Andrews identities, which generalize the Rogers-Ramanujan-Schur identities, provide product and fermionic forms for the characters of the minimal conformal field theories (CFTs) M(2, 2k+1). We discuss/conjecture identities of a similar type, providing two different fermionic forms for the characters of the models SM(2,4k) in the minimal series of N=1 super-CFTs. These two forms are related to two families of thermodynamic Bethe Ansatz (TBA) systems, which are argued to be associated with the \\hat{\\phi}_{1,3}^{\\rm top}- and \\hat{\\phi}_{1,5}^{\\rm bot}-perturbations of the models SM(2,4k). Certain other q-series identities and TBA systems are also discussed, as well as a possible representation-theoretical consequence of our results, based on Andrews's generalization of the Gollnitz-Gordon theorem.
Support for the 2001 Gordon Research Conference on the Origins of Solar Systems
Stevenson, David J.
2002-01-01
This grant provided partial support for participants at the Gordon Research Conference on Origins of Solar Systems, held at Connecticut College, June 17 through June 22, 2001. This conference was chaired by the PI (David Stevenson) and Pat Cassell (NASA Ames) was Vice-Chair. In addition to the money provided by this grant ($15,000), the Gordon Research Conference organization provided about $22,000 (in large part from registration fees) and BPI provided $10,000 (through Director David Black); the latter targeted primarily for students and postdocs. Accordingly the grant money from NASA was used to cover the costs of registration and travel for about one half of the invited speakers (22 in total) and discussion leaders (about 10 in total).
Form factors of descendant operators: Resonance identities in the sinh-Gordon model
Lashkevich, Michael
2014-01-01
We study the space of local operators in the sinh-Gordon model in the framework of the bootstrap form factor approach. Our final goal is to identify the operators obtained by solving bootstrap equations with those defined in terms of the Lagrangian field. Here we try to identify operators at some very particular points, where the phenomenon of operator resonance takes place. The operator resonance phenomenon being perturbative, nevertheless, results in exact identities between some local operators. By applying an algebraic approach developed earlier for form factors we derive an infinite set of identities between particular descendant and exponential operators in the sinh-Gordon theory, which generalize the quantum equation of motion. We identify the corresponding descendant operators by comparing them with the result of perturbation theory.
Construction of Green's Functions for the Two-Dimensional Static Klein-Gordon Equation
MELNIKOV Yu. A.
2011-01-01
In contrast to the cognate Laplace equation, for which a vast number of Green's functions is available, the field is not that developed for the static Klein-Gordon equation. The latter represents, nonetheless, a natural area for application of some of the methods that are proven productive for the Laplace equation. The perspective looks especially attractive for the methods of images and eigenfunction expansion.This study is based on our experience recently gained on the construction of Green's functions for elliptic partial differential equations. An extensive list of boundary-value problems formulated for the static Klein-Gordon equation is considered. Computerfriendly representations of their Green's functions are obtained, most of which have never been published before.
Kauffmann, Steven Kenneth
2013-01-01
The historical Klein-Gordon transformation of complex-valued first-order in time Schroedinger equations iterates these in a naively straightforward way which changes them into complex-valued second-order in time equations that have a plethora of extraneous solutions -- the transformation is an operator-calculus analogue of the squaring of both sides of an algebraic equation. The real and imaginary parts of a Schroedinger equation, however, are well known to be precisely the dynamical equation pair of the real-valued classical Hamiltonian functional which is numerically equal to the expectation value of that Schroedinger equation's Hermitian Hamiltonian operator. The purely real-valued second-order in time Euler-Lagrange equation of the corresponding classical Lagrangian functional is also isomorphic to that Schroedinger equation, and for symmetric Hamiltonians has exactly the same formal appearance as the corresponding naive complex-valued Klein-Gordon equation, but none of the latter's extraneous solutions. ...
2011 Photochemistry Gordon Research Conference (July10-15, 2011, Stonehill College, Easton, MA)
Prof. Gerald Meyer
2011-07-15
Photochemistry has wide implications on fundamental science with technological applications that range from synthetic and mechanistic organic and inorganic chemistry to sensing/manipulation in the biological sciences to viable solar energy conversion assemblies. The 2011 Gordon Research Conference on Photochemistry will highlight recent advances on photochemical reactions, their mechanisms, spectroscopic techniques and applications to materials, organic synthesis, and biology. The conference will continue its long tradition on dynamic discussions on recent advances and unsolved scientific problems. The format of lectures, poster presentations and informal discussions provides an ideal venue for students and post-doctoral fellows to interact with the leaders in the field. These junior scientists will have an opportunity to participate in the Gordon Research Seminar on Photochemistry to be held prior to the GRC. The GRS will focus on photochemical aspects of solar energy conversion. Four abstracts for posters at the GRC and presentations at the GRS will be selected as short talks at the GRC.
Exact Travelling Solutions of Discrete sine-Gordon Equation via Extended Tanh-Function Approach
DAI Chao-Qing; ZHANG Jie-Fang
2006-01-01
In this paper, we generalize the extended tanh-function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations, to nonlinear differential-difference equations. As illustration, two series of exact travelling wave solutions of the discrete sine-Gordon equation are obtained by means of the extended tanh-function approach.
On Global attraction to solitary waves for Klein-Gordon equation with concentrated nonlinearity
Kopylova, Elena
2016-01-01
The global attraction is proved for the nonlinear 3D Klein-Gordon equation with a nonlinearity concentrated at one point. Our main result is the convergence of each "finite energy solution" to the manifold of all solitary waves as $t\\to\\pm\\infty$. This global attraction is caused by the nonlinear energy transfer from lower harmonics to the continuous spectrum and subsequent dispersion radiation. We justify this mechanism by the following strategy based on inflation of spectrum by the nonlinea...
Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations
Sirendaoreji [College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, Inner Mongolia (China)]. E-mail: siren@imnu.edu.cn
2007-04-09
A variable separated equation and its solutions are used to construct the exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations. The solutions previously obtained by the tanh and sech method are recovered. New and more exact travelling wave solutions including solitons, kink and anti-kink, bell and anti-bell solitary wave solutions, periodic solutions, singular solutions and exponential solutions are found.
Interconnection between static regimes in the LJJs described by the double sine-Gordon equation
Atanasova, P. Kh; Zemlyanaya, E. V.; Shukrinov, Yu M.
2012-11-01
The second harmonic contribution to the current-phase relation changes the properties of the static magnetic flux distributions in the long Josephson junction (LJJ) and inspires new homogenious and fluxon static states. We study stability properties and bifurcations of these static regimes within the frame of a model described by the double sine-Gordon equation. The critical curves behavior and the interconnection between different types of magnetic flux distributions are analyzed.
ORBITAL INSTABILITY OF STANDING WAVES FOR THE COUPLED NONLINEAR KLEIN-GORDON EQUATIONS
Gan Zaihui; Guo Boling; Zhang Jian
2008-01-01
This paper deals with a type of standing waves for the coupled nonlin-ear Klein-Gordon equations in three space dimensions. First we construct a suitable constrained variational problem and obtain the existence of the standing waves with ground state by using variational argument. Then we prove the orbital instability of the standing waves by defining invariant sets and applying some priori estimates.
Algebraic approach to form factors in the complex sinh-Gordon theory
Lashkevich, Michael
2016-01-01
We study form factors of the quantum complex sinh-Gordon theory in the algebraic approach. In the case of exponential fields the form factors can be obtained from the known form factors of the $Z_N$-symmetric Ising model. The algebraic construction also provides an Ansatz for form factors of descendant operators. We obtain generating functions of such form factors and establish their main properties: the cluster factorization and reflection equations.
Snakes in the wrong places: Gordon Rodda’s career in invasive species research
Wilson, Jim
2012-01-01
When USGS research zoologist Gordon G. Rodda was a graduate student at Cornell University studying behavioral biology of alligators —or later, completing a post-doc at the Smithsonian Institute studying the social behavior of green iguanas in Venezuela or following that, as a statistics and sociobiology instructor at the University of Tennessee—he did not foresee that his professional future was in snakes. Lots of snakes, and in places they don’t belong.
Donker, H. C.; Katsnelson, M. I.; De Raedt, H.; Michielsen, K.
2016-09-01
The logical inference approach to quantum theory, proposed earlier De Raedt et al. (2014), is considered in a relativistic setting. It is shown that the Klein-Gordon equation for a massive, charged, and spinless particle derives from the combination of the requirements that the space-time data collected by probing the particle is obtained from the most robust experiment and that on average, the classical relativistic equation of motion of a particle holds.
A Family of Interesting Exact Solutions of the Sine-Gordon Equation
HUANG De-Bin; LIU Zeng-Rong; WANG Li-Lian
2000-01-01
By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of interesting exact solutions of the sine-Gordon equation are constructed. These solutions seem to be some soliton, kink, and anti-kink ones respectively for the different choice of the spectrum, whereas due to the interaction between two traveling-waves they have some properties different from usual soliton, kink, and anti-kink solutions.
The Smoothness of Scattering Operators for Sinh-Gordon and Nonlinear Schrodinger Equations
Bao Xiang WANG
2002-01-01
We show that the scattering operator carries a band in Hs(Rn) × Hs-1(Rn) into Hs(Rn) ×Hs-1(Rn) for the sinh-Gordon equation and an analogous result also holds true for the nonlinearSchrodinger equation with an exponential nonlinearity, where s ≥ n/2 is arbitrary and n ≥ 2. Therefore,the scattering operators are infinitely smooth for the above two equations.
Superluminal solutions to the Klein-Gordon equation and a causality problem
Borghardt, A A; Karpenko, D Y
2003-01-01
We present a new axially symmetric monochromatic free-space solution to the Klein-Gordon equation propagating with a superluminal group velocity and show that it gives rise to an imaginary part of the causal propagator outside the light cone. We address the question about causality of the spacelike paths and argue that the signal with a well-defined wavefront formed by the superluminal modes would propagate in vacuum with the light speed.
Algebraic approach to form factors in the complex sinh-Gordon theory
Lashkevich, Michael; Pugai, Yaroslav
2017-01-01
We study form factors of the quantum complex sinh-Gordon theory in the algebraic approach. In the case of exponential fields the form factors can be obtained from the known form factors of the ZN-symmetric Ising model. The algebraic construction also provides an Ansatz for form factors of descendant operators. We obtain generating functions of such form factors and establish their main properties: the cluster factorization and reflection equations.
Generalized Klein-Gordon and Dirac Equations from Nonlocal Kinetic Approach
El-Nabulsi, Rami Ahmad
2016-09-01
In this note, I generalized the Klein-Gordon and the Dirac equations by using Suykens's nonlocal-in-time kinetic energy approach, which is motivated from Feynman's kinetic energy functional formalism where the position differences are shifted with respect to one another. I proved that these generalized equations are similar to those obtained in literature in the presence of minimal length based on the Quesne-Tkachuk algebra.
A new species of Mada Gordon from the Andes (Coleoptera: Coccinellidae: Epilachnini).
Szawaryn, Karol; González, Guillermo
2017-01-26
Although Gordon (1975) revised the herbivorous ladybirds of the New World, the taxonomy of this group in the Americas is still poorly studied. Some recent efforts have been made at the generic (Szawaryn 2015b) as well as species level (Szawaryn 2015a; González & Gómez 2013; González 2015) to describe and improve our knowledge of the systematics of Neotropical Epilachnini, but they still need more investigation.
2015-01-01
Universidad Nacional Agraria La Molina. Escuela de Posgrado. Maestría en Entomología Delphastus quinculus (Gordon, 1994) es un predador que ha sido reportado importante, para el control del complejo de la mosca blanca de los invernaderos Trialeurodes vaporariorum (Westwood, 1856). Para obtener información sobre algunos aspectos de su biología y el efecto de la temperatura en su desarrollo, se realizaron experimentos bajo condiciones de laboratorio a seis1temperaturas constantes...
Multisymplectic implicit and explicit methods for Klein-Gordon-Schr(o)dinger equations
Cai Jia-Xiang; Yang Bin; Liang Hua
2013-01-01
We propose multisymplectic implicit and explicit Fourier pseudospectral methods for the Klein-Gordon-Schr(o)dinger equations.We prove that the implicit method satisfies the charge conservation law exactly.Both methods provide accurate solutions in long-time computations and simulate the soliton collision well.The numerical results show the abilities of the two methods in preserving the charge,energy,and momentum conservation laws.
Lim, S C [Faculty of Engineering, Multimedia University, Jalan Multimedia, Cyberjaya, 63100, Selangor Darul Ehsan (Malaysia); Teo, L P [Faculty of Information Technology, Multimedia University, Jalan Multimedia, Cyberjaya, 63100, Selangor Darul Ehsan (Malaysia)], E-mail: sclim@mmu.edu.my, E-mail: lpteo@mmu.edu.my
2008-04-11
Quartic self-interacting fractional Klein-Gordon scalar massive and massless field theories on toroidal spacetime are studied. The effective potential and topologically generated mass are determined using zeta-function regularization technique. Renormalization of these quantities are derived. Conditions for symmetry breaking are obtained analytically. Simulations are carried out to illustrate regions or values of compactified dimensions where symmetry-breaking mechanisms appear.
Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition
Bajnok, Z; Takács, G
2001-01-01
The sine-Gordon model with Neumann boundary condition is investigated. Using the bootstrap principle the spectrum of boundary bound states is established. Somewhat surprisingly it is found that Coleman-Thun diagrams and bound state creation may coexist. A framework to describe finite size effects in boundary integrable theories is developed and used together with the truncated conformal space approach to confirm the bound states and reflection factors derived by bootstrap.
Exact bound state solutions of the Klein-Gordon particle in Hulthén potential
Zhang Min-Cang
2008-01-01
In this paper,the Klein-Gordon equation with the spherical symmetric Hulthén potential is turned into a hypergeometric equation and is solved in the framework of function analysis exactly.The corresponding bound state solutions are expressed in terms of the hypergeometric function,and the energy spectrum of the bound states is obtained as a solution to a given equation by boundary constraints.
Scattering State of Klein-Gordon Particles by q-Parameter Hyperbolic Poschl-Teller Potential
Akpan Ndem Ikot
2015-01-01
Full Text Available The one-dimensional Klein-Gordon equation for equal vector and scalar q-parameter hyperbolic Poschl-Teller potential is solved in terms of the hypergeometric functions. We calculate in detail the solutions of the scattering and bound states. By virtue of the conditions of equation of continuity of the wave functions, we obtained explicit expressions for the reflection and transmission coefficients and energy equation for the bound state solutions.
The Einstein-Klein-Gordon Equations, Wave Dark Matter, and the Tully-Fisher Relation
Goetz, Andrew S
2015-01-01
We examine the Einstein equation coupled to the Klein-Gordon equation for a complex-valued scalar field. These two equations together are known as the Einstein-Klein-Gordon system. In the low-field, non-relativistic limit, the Einstein-Klein-Gordon system reduces to the Poisson-Schr\\"odinger system. We describe the simplest solutions of these systems in spherical symmetry, the spherically symmetric static states, and some scaling properties they obey. We also describe some approximate analytic solutions for these states. The EKG system underlies a theory of wave dark matter, also known as scalar field dark matter (SFDM), boson star dark matter, and Bose-Einstein condensate (BEC) dark matter. We discuss a possible connection between the theory of wave dark matter and the baryonic Tully-Fisher relation, which is a scaling relation observed to hold for disk galaxies in the universe across many decades in mass. We show how fixing boundary conditions at the edge of the spherically symmetric static states implies T...
Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
Blas, H
2010-01-01
Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method relies on the master Lagrangian approach to deal with dual theories. The master Lagrangians turn out to be the NC versions of the so-called affine Toda model coupled to matter fields (NCATM$_{1,2}$), in which the Toda field $g$ belongs to certain subgroups of $ GL(3)$, and the matter fields lie in the higher grading directions of an affine Lie algebra. Depending on the form of $g$ one arrives at two different NC versions of the NCGSG$_{1,2}$/NCGMT$_{1,2}$ correspondence. In the NCGSG$_{1,2}$ sectors, through consistent reduction procedures, we find NC versions of some well-known models, such as the NC sine-Gordon (NCSG$_{1,2}$) (Lechtenfeld et al. and Grisaru-Penati proposals, respectively), NC (bosonized) Bukhvostov-Lipatov (NCbBL$_{1,2}$) and NC double sine-Gordon (NCDSG$_{1,2}$) models. The NCGMT$_{1,2}$ models co...
Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory
Blas, H
2007-01-01
The solitons and kinks of the generalized $sl(3, \\IC)$ sine-Gordon (GSG) model are explicitly obtained through the hybrid of the Hirota and dressing methods in which the {\\sl tau} functions play an important role. The various properties are investigated, such as the potential vacuum structure, the soliton and kink solutions, and the soliton masses formulae. As a reduced submodel we obtain the double sine-Gordon model. Moreover, we provide the algebraic construction of the $sl(3, \\IC)$ affine Toda model coupled to matter (Dirac spinor) (ATM) and through a gauge fixing procedure we obtain the classical version of the generalized $sl(3, \\IC)$ sine-Gordon model (cGSG) which completely decouples from the Dirac spinors. In the spinor sector we are left with Dirac fields coupled to cGSG fields. Based on the equivalence between the U(1) vector and topological currents it is shown the confinement of the spinors inside the solitons and kinks of the cGSG model providing an extended hadron model for "quark" confinement.
Solitons, kinks and extended hadron model based on the generalized sine-Gordon theory
Blas, Harold [Departamentos de Matematica e Fisica - ICET, Universidade Federal de Mato Grosso, Av. Fernando Correa, s/n, Coxipo, 78060-900, Cuiaba - MT (Brazil); Carrion, Hector L. [Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66318, 05315-970, Sao Paulo, SP (Brazil)
2007-01-15
The solitons and kinks of the generalized sl(3,C) sine-Gordon (GSG) model are explicitly obtained through the hybrid of the Hirota and dressing methods in which the tau functions play an important role. The various properties are investigated, such as the potential vacuum structure, the soliton and kink solutions, and the soliton masses formulae. As a reduced submodel we obtain the double sine-Gordon model. Moreover, we provide the algebraic construction of the sl(3,C) affine Toda model coupled to matter (Dirac spinor) (ATM) and through a gauge fixing procedure we obtain the classical version of the generalized sl(3,C) sine-Gordon model (cGSG) which completely decouples from the Dirac spinors. In the spinor sector we are left with Dirac fields coupled to cGSG fields. Based on the equivalence between the U(1) vector and topological currents it is shown the confinement of the spinors inside the solitons and kinks of the cGSG model providing an extended hadron model for 'quark' confinement.
2003 Partial Support of the Photoions:Photoionization and Photodetachment Gordon Research Conference
John HD Eland
2004-11-01
The Gordon Research Conference (GRC) on 2004 Gordon Research Conference on Biopolymers was held at Queen's College, Oxford, United Kingdom on 9/21-26/2003. The Conference was well-attended with 57 participants (attendees list attached). The attendees represented the spectrum of endeavor in this field coming from academia, industry, and government laboratories, both U.S. and foreign scientists, senior researchers, young investigators, and students. In designing the formal speakers program, emphasis was placed on current unpublished research and discussion of the future target areas in this field. There was a conscious effort to stimulate lively discussion about the key issues in the field today. Time for formal presentations was limited in the interest of group discussions. In order that more scientists could communicate their most recent results, poster presentation time was scheduled. Attached is a copy of the formal schedule and speaker program and the poster program. In addition to these formal interactions, ''free time'' was scheduled to allow informal discussions. Such discussions are fostering new collaborations and joint efforts in the field. I want to personally thank you for your support of this Conference. As you know, in the interest of promoting the presentation of unpublished and frontier-breaking research, Gordon Research Conferences does not permit publication of meeting proceedings. If you wish any further details, please feel free to contact me. Thank you, Dr. John HD. Eland, 2003 Conference Chair.
Comparison of renormalization group schemes for sine-Gordon type models
Nandori, I; Sailer, K; Trombettoni, A
2009-01-01
We consider the scheme-dependence of the renormalization group (RG) flow obtained in the local potential approximation for two-dimensional periodic, sine-Gordon type field-theoric models with possible inclusion of explicit mass terms. For sine-Gordon type models showing up a Kosterlitz-Thouless-Berezinskii type phase transition the Wegner-Houghton, the Polchinski, the functional Callan-Symanzik and the effective average action RG methods give qualitatively the same result and the critical frequency (temperature) can be obtained scheme-independently from the RG equations linearized around the Gaussian fixed point. For the massive sine-Gordon model which undergoes an Ising type phase transition, the Wegner-Houghton, the functional Callan-Symanzik and the effective average action RG methods provide the same scheme-independent phase structure and value for the critical ratio, in agreement with the results of lattice methods. It is also shown that RG equations linearized around the Gaussian fixed point produce sch...
James N. Green
2009-06-01
Full Text Available Lincoln Gordon, embaixador dos Estados Unidos no Brasil, esteve no centro das operações norte-americanas que apoiaram o golpe de Estado de 1964, desde a coordenação das conexões entre Vernon Walters e os conspiradores militares, até o lobby por uma força-tarefa naval dos Estados Unidos que interviria no caso da explosão de uma guerra civil entre forças pró e anti-Goulart. Apesar disso, naquele momento, e nos anos seguintes, Gordon insistiu em que o golpe de Estado tinha sido "100% brasileiro". Através de documentos do Departamento de Estado norte-americano, discursos de Gordon, testemunhos orais, e de uma entrevista em 2005 com o embaixador, este artigo analisa as diversas justificativas que Gordon ofereceu ao longo dos últimos quarenta anos para explicar por que apoiou a derrubada de Goulart e concedeu suporte incondicional ao novo regime militar.U.S. Ambassador Lincoln Gordon was at the center of U.S. operations that supported the 1964 coup d’etat, from coordinating connections through Vernon Walters with the military conspirators to lobbying for a U.S. naval task force that could intervene should a civil war break out between pro and anti-Goulart forces. At the time, and in the following years, Gordon, however, insisted that the coup d’etat was "100 percent Brazilian." Using U.S. State Department documents, Gordon’s speeches, oral histories, and a 2005 interview with the former ambassador, this article analyzes the changing justifications that Gordon has offered over the last forty years to explain why he supported the overthrow of Goulart and gave unconditional support to the new military regime.
THE LONG-TIME BEHAVIOR OF SPECTRAL APPROXIMATE FOR KLEIN-GORDON-SCHROEDINGER EQUATIONS
Xin-minXiang
2004-01-01
Klein-Gordon-Schroedinger (KGS) equations are very important in physics. Some papers studied their well-posedness and numerical solution [1-4], and another works investigated the existence of global attractor in Rn and Ω包含于Rn (n≤3) [5-6,11-12]. In this paper, we discuss the dynamical behavior when we apply spectral method to find numerical approximation for periodic initial value problem of KGS equations. It includes the existence of approximate attractor AN, the upper semi-continuity on A which is a global attractor of initial problem and the upper bounds of Hausdorff and fractal dimensions for A and AN,etc.
Modelo no lineal con potencial Seno-Gordon para un cristal fotónico unidimensional
2013-01-01
Se presenta un modelo para un cristal fotónico unidimensional formado por una sucesión de planos constituidos por material no lineal, inmersos en un medio lineal. Se resuelve la ecuación de Schrödinger introduciendo en el hamiltoniano modelo del cristal un potencial no lineal tipo Seno-Gordon. Se obtiene analíticamente una versión generalizada, dependiente de la amplitud de la onda incidente, de la ecuación trascendente que caracteriza al modelo del cristal de Kronig-Penney, de donde se dete...
Partial Internal Control Recovery on 1-D Klein-Gordon Systems
Iwan Pranoto
2010-03-01
Full Text Available In this exposition, a technique to recover internal control on a distributed parameter system is reported. The system is described by 1-D Klein-Gordon partial differential equation with a time-varying parameter. We would like to recover the internal control applied to the system if we know some limited information about the output. We use a method called sentinel method to recover the internal control. It involves some construction of a linear functional, and we show that this construction relates closely to the exact controllability problem.
Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation
Xiong, Chi; Guo, Yulong; Liu, Xiaopei; Huang, Kerson
2014-01-01
We investigate superfluidity, and the mechanism for creation of quantized vortices, in the relativistic regime. The general framework is a nonlinear Klein-Gordon equation in curved spacetime for a complex scalar field, whose phase dynamics gives rise to superfluidity. The mechanisms discussed are local inertial forces (Coriolis and centrifugal), and current-current interaction with an external source. The primary application is to cosmology, but we also discuss the reduction to the non-relativistic nonlinear Schr\\"{o}dinger equation, which is widely used in describing superfluidity and vorticity in liquid helium and cold-trapped atomic gases.
The anarchitecture of Gordon Matta-Clark: political autonomism and aesthetic activism
Jorge Vasconcelos
2012-12-01
Full Text Available We intend to consider the contemporary relationships between art, politics and resistance, from the 1960s and 1970s artistic practices, established by the american architect, performer and autonomist activist, Gordon Matta-Clark (1943-1978. We will use, especially for such a task, the concepts proposed by Gilles Deleuze (and Felix Guattari, notably in his book What is philosophy?, of the “becoming-revolutionary of art”, “creative fabulation” and “acts of creation / acts of resistance”.
Thoudam Roshan
2016-10-01
Full Text Available Numerical solutions of the coupled Klein-Gordon-Schrödinger equations is obtained by using differential quadrature methods based on polynomials and quintic B-spline functions for space discretization and Runge-Kutta fourth order for time discretization. Stability of the schemes are studied using matrix stability analysis. The accuracy and efficiency of the methods are shown by conducting some numerical experiments on test problems. The motion of single soliton and interaction of two solitons are simulated by the proposed methods.
Classical Field-Theoretical approach to the non-linear q-Klein-Gordon Equation
Plastino, A
2016-01-01
In the wake of efforts made in [EPL {\\bf 97}, 41001 (2012)], we extend them here by developing a classical field theory (FT)to the q-Klein-Gordon equation advanced in [Phys. Rev. Lett. {\\bf 106}, 140601 (2011)]. This makes it possible to generate a hipotetical conjecture regarding black matter. We also develop the classical field theory for a q-Schrodinger equation, different from the one in [EPL {\\bf 97}, 41001 (2012)], that was deduced in [Phys. Lett. A {\\bf 379}, 2690 (2015)] from the hypergeometric differential equation. Our two classical theories reduce to the usual quantum FT for $q\\rightarrow 1$.
2013 GASEOUS IONS GORDON RESEARCH CONFERENCE, FEBRUARY 24 - MARCH 1, 2013
Williams, Evan
2013-03-01
The Gaseous Ions: Structures, Energetics and Reactions Gordon Research Conference will focus on ions and their interactions with molecules, surfaces, electrons, and light. The long-standing goal of our community is to develop new strategies for capturing complex molecular architectures as gas phase ions where they can be isolated, characterized and manipulated with great sensitivity. Emergent areas of interest include catalytic mechanisms, cryogenic processing of ions extracted from solution, ion fragmentation mechanisms, and new methods for ion formation and structural characterization. The conference will cover theoretical and experimental advances on systems ranging from model studies at the molecular scale to preparation of nanomaterials and characterization of large biological molecules.
Post-Gaussian Effective Potential of Double sine-Gordon Field
CAI Wei-Ran; LOU Sen-Yue
2005-01-01
In the framework of the functional integral formalism, we calculate the effective potential of the double sine-Gordon (DsG) model up to the second order with an optimized expansion and the Coleman's normal-ordering prescription. Within the range of convergence, we make a comparison among the classicaland the effective potential of the first and second order. The numerical analysis shows that the DsG post-Gaussian EP possesses some fine global properties and makes a substantial and a concordant quantum correction to the features of the classical potential.
MODERNOS Y MILITANTES. California a través de Harwell Hamilton Harris y Gordon Drake
PARRA MARTINEZ, JOSE
2013-01-01
A través del establecimiento de una genealogía moderna que recorre tres generaciones de arquitectos californianos entre mediados de los años 20 y finales de los años 40, desde Richard Neutra a Gordon Drake pasando por Harwell Hamilton Harris, esta tesis aborda el modo en que estos autores entendieron y expresaron su particular vinculación con el medio físico y el paisaje creativo del Sur de California. El análisis de las obras donde estos arquitectos coincidieron en su condición de discípulos...
Klein-Gordon Equation with Coulomb Potential in the Presence of a Minimal Length
Bouaziz, Djamil
2013-01-01
We study the Klein-Gordon equation for Coulomb potential, V(r)=(-Ze^{2})/r, in quantum mechanics with a minimal length. The zero energy solution is obtained analytically in momentum space in terms of Heun's functions. The asymptotic behavior of the solution shows that the presence of a minimal length regularize the potential in the strong attractive regime, Z>68. The equation with nonzero energy is established in a particular case in the first order of the deformation parameter; it is a generalized Heun's equation.
Unstable Mode Solutions to the Klein-Gordon Equation in Kerr-anti-de Sitter Spacetimes
Dold, Dominic
2017-03-01
For any cosmological constant {Λ = -3/ℓ2 |a|ℓ}. We obtain an analogous result for Neumann boundary conditions if {5/4 < α < 9/4}. Moreover, in the Dirichlet case, one can prove that, for any Kerr-AdS spacetime violating the Hawking-Reall bound, there exists an open family of masses {α} such that the corresponding Klein-Gordon equation permits exponentially growing mode solutions. Our result adopts methods of Shlapentokh-Rothman developed in (Commun. Math. Phys. 329:859-891, 2014) and provides the first rigorous construction of a superradiant instability for negative cosmological constant.
Determinant representation for a quantum correlation function of the lattice sine-Gordon model
Essler, Fabian H.L. [Department of Physics, Theoretical Physics, Oxford (United Kingdom); Frahm, Holger [Institut fuer Theoretische Physik, Universitaet Hannover, Hannover (Germany); Its, Alexander R. [Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis (IUPUI), Indianapolis, IN (United States); Korepin, Vladimir E. [Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, NY (United States); Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto (Japan); St. Petersburg Department of Mathematical Institute of Academy of Sciences of Russia, St. Petersburg (Russian Federation)
1997-01-07
We consider a completely integrable lattice regularization of the sine-Gordon model with discrete space and continuous time. We derive a determinant representation for a correlation function which in the continuum limit turns into the correlation function of local fields. The determinant is then embedded into a system of integrable integro-differential equations. The leading asymptotic behaviour of the correlation function is described in terms of the solution of a Riemann-Hilbert Problem (RHP) related to the system of integro-differential equations. The leading term in the asymptotical decomposition of the solution of the RHP is obtained. (author)
SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
Bajnok, Z; Palla, L; Takács, G; Wagner, F
2004-01-01
We consider SUSY sine-Gordon theory in the framework of perturbed conformal field theory. Using an argument from Zamolodchikov, we obtain the vacuum structure and the kink adjacency diagram of the theory, which is cross-checked against the exact S matrix prediction, first-order perturbed conformal field theory (PCFT), the NLIE method and truncated conformal space approach. We provide evidence for consistency between the usual Lagrangian description and PCFT on the one hand, and between PCFT, NLIE and a massgap formula conjectured by Baseilhac and Fateev, on the other. In addition, we extend the NLIE description to all the vacua of the theory.
Standing Waves of the Inhomogeneous Klein-Gordon Equations with Critical Exponent
Zai Hui GAN; Jian ZHANG
2006-01-01
This paper is concerned with the standing wave in the inhomogeneous nonlinear Klein-Gordon equations with critical exponent. Firstly, we obtain the existence of standing waves associated with the ground states by using variational calculus as well as a compactness lemma. Next, we establish some sharp conditions for global existence in terms of the characteristics of the ground state. Then,we show that how small the initial data are for the global solutions to exist. Finally, we prove the instability of the standing wave by combining the former results.
Ultrashort light bullets described by the two-dimensional sine-Gordon equation
Leblond, Hervé; 10.1103/PHYSREVA.81.063815
2011-01-01
By using a reductive perturbation technique applied to a two-level model, this study puts forward a generic two-dimensional sine-Gordon evolution equation governing the propagation of femtosecond spatiotemporal optical solitons in Kerr media beyond the slowly varying envelope approximation. Direct numerical simulations show that, in contrast to the long-wave approximation, no collapse occurs, and that robust (2+1)-dimensional ultrashort light bullets may form from adequately chosen few-cycle input spatiotemporal wave forms. In contrast to the case of quadratic nonlinearity, the light bullets oscillate in both space and time and are therefore not steady-state lumps.
Unstable mode solutions to the Klein-Gordon equation in Kerr-anti-de Sitter spacetimes
Dold, Dominic
2015-01-01
For any cosmological constant $\\Lambda=-3/\\ell^2|a|\\ell$. We obtain an analogous result for Neumann boundary conditions if $5/4<\\alpha<9/4$. Moreover, in the Dirichlet case, one can prove that, for any Kerr-AdS spacetime violating the Hawking-Reall bound, there exists an open family of masses $\\alpha$ such that the corresponding Klein-Gordon equation permits exponentially growing mode solutions. Our result adopts methods of Shlapentokh-Rothman (see http://arxiv.org/abs/1302.3448) and provides the first rigorous construction of a superradiant instability for negative cosmological constant.
Dispersion estimates for one-dimensional Schrödinger and Klein-Gordon equations revisited
Egorova, I. E.; Kopylova, E. A.; Marchenko, V. A.; Teschl, G.
2016-06-01
It is shown that for a one-dimensional Schrödinger operator with a potential whose first moment is integrable the elements of the scattering matrix are in the unital Wiener algebra of functions with integrable Fourier transforms. This is then used to derive dispersion estimates for solutions of the associated Schrödinger and Klein-Gordon equations. In particular, the additional decay conditions are removed in the case where a resonance is present at the edge of the continuous spectrum. Bibliography: 29 titles.
ON THE DECAY AND SCATTERING FOR THE KLEIN-GORDON-HARTREE EQUATION WITH RADIAL DATA
Wu Haigen; Zhang Junyong
2012-01-01
In this paper,we study the decay estimate and scattering theory for the Klein-Gordon-Hartree equation with radial data in space dimension d ≥ 3.By means of a compactness strategy and two Morawetz-type estimates which come from the linear and nonlinear parts of the equation,respectively,we obtain the corresponding theory for energy subcritical and critical cases.The exponent range of the decay estimates is extended to 0 ＜ γ ≤ 4 and γ＜ d with Hartree potential V(x) =|x|-γ.
Compact-like discrete breather and its stability in a discrete monatomic Klein-Gordon chain
Xu Quan; Tian Qiang
2008-01-01
This paper studies a discrete one-dimensional monatomie Klein-Gordon chain with only quartic nearest-neighbour interactions, in which the compact-like discrete breathers can be explicitly constructed by an exact separation of their time and space dependence. Introducing the trying method, it proves that compact-like discrete breathers exist in this nonlinear system. It also discusses the linear stability of the compact-like discrete breathers, when the coefficient (β)of quartic on-site potential and the coupling constant (K4) of quartic interactive potential satisfy the given conditions,they are linearly stable.
Ikhdair, Sameer M
2012-01-01
We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjects to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO and harmonic oscillator solutions in the existence and absence of external fields are also obtained.
Analytical solution of the Klein Gordon equation for a quadratic exponential-type potential
Ezzatpour, Somayyeh; Akbarieh, Amin Rezaei
2016-07-01
In this research study, analytical solutions of the Klein Gordon equation by considering the potential as a quadratic exponential will be presented. However, the potential is assumed to be within the framework of an approximation for the centrifugal potential in any state. The Nikiforov-Uvarov method is used to calculate the wave function, as well as corresponding exact energy equation, in bound states. We finally concluded that the quadratic exponential-type potential under which the results were deduced, led to outcomes that were comparable to the results obtained from the well-known potentials in some special cases.
Jamal, Sameerah
In this paper, we study the geometric properties of generators for the Klein-Gordon equation on classes of space-time homogeneous Gödel-type metrics. Our analysis complements the study involving the “Symmetries of geodesic motion in Gödel-type spacetimes” by U. Camci (J. Cosmol. Astropart. Phys., doi:10.1088/1475-7516/2014/07/002). These symmetries or Killing vectors (KVs) are used to construct potential functions admitted by the Klein-Gordon equation. The criteria for the potential function originates from three primary sources, viz. through generators that are identically the Killing algebra, or with the KV fields that are recast into linear combinations and third, real subalgebras within the Killing algebra. This leads to a classification of the (1 + 3) Klein-Gordon equation according to the catalogue of infinitesimal Lie and Noether point symmetries admitted. A comprehensive list of group invariant functions is provided and their application to analytic solutions is discussed.
Shlapentokh-Rothman, Yakov
2013-01-01
For any sub-extremal Kerr spacetime with non-zero angular momentum, we find an open family of non-zero masses for which there exist smooth, finite energy, and exponentially growing solutions to the corresponding Klein-Gordon equation. If desired, for any non-zero integer m, an exponentially growing solution can be found with mass arbitrarily close to |am|/2Mr_+. In addition to its direct relevance for the stability of Kerr as a solution to the Einstein-Klein-Gordon system, our result provides the first rigorous construction of a superradiant instability. Finally, we note that this linear instability for the Klein-Gordon equation contrasts strongly with recent work establishing linear stability for the wave equation.
张学骜; 陈柯; 段正路
2005-01-01
Solving the Klein-Gordon equation and Dirac equation with ring-shaped non-spherical oscillator gives the exact bound state wavefunction and energy equation, and the relations between non-relativistic Schrodinger equation, KleinGordon equation and Dirac equation with equal scalar and vector potentials.
Gordon, James S
2007-01-01
James S. Gordon, MD, is the founder and director of The Center for Mind-Body Medicine in Washington, DC. A graduate of Harvard Medical School, Dr Gordon is a clinical professor in the departments of Psychiatry and Family Medicine at the Georgetown University School of Medicine and the former Chairman of the White House Commission on Complementary and Alternative Medicine Policy. For 10 years, Dr Gordon was a research psychiatrist at the National Institute of Mental Health, where he developed the first national program for runaway and homeless youth, directed the Special Study on Alternative Services for President Carter's Commission on Mental Health, and created a nationwide preceptorship program for medical students. At The Center for Mind-Body Medicine, Dr Gordon created a mind-body skills program for physicians, medical students, and other healthcare professionals and for people with cancer, depression, and other chronic illnesses. Through the Center's Healing the Wounds of War initiative, he has brought these programs around the world to populations in crisis in Kosovo, Gaza, Israel, Macedonia, Bosnia, New York City following 9/11, and more recently to the Gulf Coast following Hurricane Katrina. Dr Gordon is the author of Manifesto for a New Medicine (Perseus, 1996), Comprehensive Cancer Care (Perseus, 2000), and the forthcoming Unstuck: Your Guide to the Seven Stage Journey Out of Depression (Penguin, June 2008). In November, Dr Gordon was honored as one of the Pioneers of Integrative Medicine by the Bravewell Collaborative. Recently, he spoke with Advances editor in chief Sheldon Lewis, who participated in the Professional Training Program in Mind-Body Medicine in New Orleans in September.
Nagle, Doug D.
2013-01-01
An assessment of the quantity and quality of stormwater runoff associated with industrial activities at Fort Gordon was conducted from January through August 2012. The assessment was provided to satisfy the requirements from a general permit that authorizes the discharge of stormwater under the National Pollutant Discharge Elimination System from a site associated with industrial activities. The stormwater quantity refers to the runoff discharge at the point and time of the runoff sampling. The study was conducted by the U.S. Geological Survey, in cooperation with the U.S. Department of the Army Environmental and Natural Resources Management Office of the U.S. Army Signal Center and Fort Gordon.
Numerical simulation of the self-pumped long Josephson junction using a modified sine-Gordon model
Sobolev, A.; Pankratov, A.; Mygind, Jesper
2006-01-01
We have numerically investigated the dynamics of a long Josephson junction (flux-flow oscillator) biased by a DC current in the presence of magnetic field. The study is performed in the frame of the modified sine-Gordon model, which includes the surface losses, RC-load at both FFO ends and the se......, which accounts for the presence of the superconducting gap, gives better qualitative agreement with experimental results compare to the conventional sine-Gordon model. (c) 2006 Elsevier B.V. All rights reserved....
Sami Ortakaya
2012-01-01
We present exact solutions for the Klein-Gordon equation with a ring-shaped oscillator potential.The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential.The angular functions are expressed in terms of the hypergeometric functions.The radial eigenfunctions have been obtained by using the Laplace integral transform.By means of the Laplace transform method,which is efficient and simple,the radial Klein-Gordon equation is reduced to a first-order differential equation.
Type-II super-Bäcklund transformation and integrable defects for the N=1 super sinh-Gordon model
Aguirre, A.R.; Gomes, J.F.; Spano, N.I.; Zimerman, A.H. [Instituto de Física Teórica - IFT/UNESP,Rua Doutor Bento Teobaldo Ferraz, 271, Bloco II, 01140-070, São Paulo (Brazil)
2015-06-18
A new super-Bäcklund transformation for the N=1 supersymmetric sinh-Gordon equation is constructed. Based on this construction we propose a type-II integrable defect for the supersymmetric sinh-Gordon model consistent with this new transformation through the Lagrangian formalism. Explicit expressions for the modified conserved energy, momentum and supercharges are also computed. In addition, we show for the model that the type-II defect can also been regarded as a pair of fused defects of a previously introduced type. The explicit derivation of the associated defect matrices is also presented as a necessary condition for the integrability of the model.
Chen, Xiaosheng; Xie, Xiufeng; Ren, Shunxiang; Wang, Xingmin
2016-01-01
Nephaspis indus Gordon, 1996 was imported into Taiwan from Hawaii in 1990 as a biological control agent for the spiralling whitefly, Aleurodicus dispersus Russell, 1965 (Hemiptera: Aleyrodidae). However, its establishment was not known prior to this study. Nephaspis indus Gordon, 1996, a natural enemy of Aleurodicus dispersus Russell (Hemiptera: Aleyrodidae) native to the Neotropical region, is recorded as established in Taiwan for the first time. The present paper provides a detailed further description and illustrations of the adult. Diagnostic characters for the genus and species are given and the nomenclature of this species is also discussed.
Type-II super-Backlund transformation and integrable defects for the N=1 super sinh-Gordon model
Aguirre, A R; Spano, N I; Zimerman, A H
2015-01-01
A new super-Backlund transformation for the N=1 supersymmetric sinh-Gordon equation is constructed. Based on this construction we propose a type-II integrable defect for the supersymmetric sinh-Gordon model consistent with this new transformation through the Lagrangian formalism. Explicit expressions for the modified conserved energy, momentum and supercharges are also computed. In addition, we show for the model that the type-II defect can also been regarded as a pair of fused defects of a previously introduced type. The explicit derivation of the associated defect matrices is also presented as a necessary condition for the integrability of the model.
Type-II super-Bäcklund transformation and integrable defects for the N = 1 super sinh-Gordon model
Aguirre, A. R.; Gomes, J. F.; Spano, N. I.; Zimerman, A. H.
2015-06-01
A new super-Bäcklund transformation for the N = 1 supersymmetric sinhGordon equation is constructed. Based on this construction we propose a type-II integrable defect for the supersymmetric sinh-Gordon model consistent with this new transformation through the Lagrangian formalism. Explicit expressions for the modified conserved energy, momentum and supercharges are also computed. In addition, we show for the model that the type-II defect can also been regarded as a pair of fused defects of a previously introduced type. The explicit derivation of the associated defect matrices is also presented as a necessary condition for the integrability of the model.
A stability analysis of a real space split operator method for the Klein-Gordon equation
Blumenthal, Frederick; Bauke, Heiko
2012-01-01
We carry out a stability analysis for the real space split operator method for the propagation of the time-dependent Klein-Gordon equation that has been proposed in Ruf et al. [M. Ruf, H. Bauke, C.H. Keitel, A real space split operator method for the Klein-Gordon equation, Journal of Computational Physics 228 (24) (2009) 9092-9106, doi:10.1016/j.jcp.2009.09.012]. The region of algebraic stability is determined analytically by means of a von-Neumann stability analysis for systems with homogeneous scalar and vector potentials. Algebraic stability implies convergence of the real space split operator method for smooth absolutely integrable initial conditions. In the limit of small spatial grid spacings h in each of the d spatial dimensions and small temporal steps τ, the stability condition becomes h/τ>√{d}c for second order finite differences and √{3}h/(2τ)>√{d}c for fourth order finite differences, respectively, with c denoting the speed of light. Furthermore, we demonstrate numerically that the stability region for systems with inhomogeneous potentials coincides almost with the region of algebraic stability for homogeneous potentials.
Onset of spatiotemporal chaos in damped anharmonically driven sine-Gordon systems
Chacon, R. [Departamento de Fisica Aplicada, Escuela de Ingenierias Industriales, Universidad de Extremadura, E-06071, Badajoz (Spain)], E-mail: rchacon@unex.es
2008-08-15
The onset is demonstrated of spatiotemporal chaos arising from the competition between sine-Gordon-breather and kink-antikink-pair solitons by reshaping of a sinusoidal force. After introducing soliton collective coordinates, Melnikov's method is applied to the resulting effective equation of motion to deduce the parameter-space regions of the ac force where chaotic instabilities are induced. The analysis reveals that the chaotic threshold amplitude when altering solely the pulse shape presents a minimum when the transmitted impulse is maximal, the remaining parameters being held constant. The universality of the results is shown by studying the behaviour of the Lyapunov exponent from a simple recursion relation which models an unstable limit cycle. Computer simulations of the sine-Gordon system show good agreement with the theoretical predictions. Additionally, it is found that the reshaping-induced order {r_reversible} chaos route is especially rich, including transitions from a two-breather state to a spatially uniform, periodic oscillatory state. The appearance of this spatially uniform state is explained by means of geometrical resonance analysis.
Konkowski, Deborah A.; Arndt, Valerie; Helliwell, Thomas M.
2002-04-01
Klein-Gordon, Maxwell and Dirac fields are studied in quasiregular spacetimes, spacetimes with a classical quasiregular singularity, the mildest true classical singularity [G.F.R. Ellis and B.G. Schmidt, Gen. Rel. Grav.8, 915 (1977)]. A class of static quasiregular spacetimes possessing disclinations and dislocations [R.A. Puntigam and H.H. Soleng, Class. Quantum Grav. 14, 1129 (1997)] is shown to have field operators which are not essentially self-adjoint. This class of spacetimes includes an idealized cosmic string, i.e., a four-dimensional spacetime with a conical singularity [L.H. Ford and A. Vilenkin, J. Phys. A: Math. Gen. 14, 2353 (1981)], and a Galtsov/Letelier/Tod spacetime featuring a screw dislocation [K.P. Tod, Class. Quantum Grav. 11, 1331 (1994); D.V. Galtsov and P.S. Letelier, Phys. Rev. D47, 4273 (1993)]. The definition of G. T. Horowitz and D. Marolf [Phys. Rev. D52, 5670 (1995)] for a quantum-mechanically singular spacetime as one in which the spatial-derivative operator in the Klein-Gordon equation for a massive scalar field is not essentially self-adjoint is extended in the case of quasiregular spacetimes to include Maxwell and Dirac fields. Therefore, the class of static quasiregular spacetimes under consideration is quantum-mechanically singular independent of the type of test field.
1999 Gordon Research Conference on Mammalian DNA Repair. Final Progress Report
NONE
1999-02-12
This Conference will examine DNA repair as the key component in genomic surveillance that is so crucial to the overall integrity and function of mammalian cells. Recent discoveries have catapulted the field of DNA repair into a pivotal position for fundamental investigations into oncology, aging, environmental health, and developmental biology. We hope to highlight the most promising and exciting avenues of research in robust discussions at this conference. This Mammalian DNA Repair Gordon Conference differs from the past conferences in this series, in which the programs were broader in scope, with respect to topics and biological systems covered. A conference sponsored by the Genetics Society in April 1998 emphasized recombinational mechanisms for double-strand break repair and the role of mismatch repair deficiency in colorectal cancer. These topics will therefore receive somewhat less emphasis in the upcoming Conference. In view of the recent mechanistic advances in mammalian DNA repair, an upcoming comprehensive DNA repair meeting next autumn at Hilton Head; and the limited enrollment for Gordon Conferences we have decided to focus session-by-session on particular areas of controversy and/or new developments specifically in mammalian systems. Thus, the principal presentations will draw upon results from other cellular systems only to the extent that they impact our understanding of mammalian DNA repair.
VirialRelation for Compact Q-Balls in the Complex Signum-Gordon Model
王华文; 程红波
2011-01-01
The properties of Q-balls in the complex signum-Gordon model in d spatial dimensions is studied.We obtain a general virial relation for this kind of Q-ball in higher-dimensional spacetime.We compute the energy and radii of a Q-ball with a V-shaped field potential as a function of spatial dimensionality and a parameter defining the model potential energy density to show that this kind of Q-ball can also survive stably in high-dimensional spacetime.%The properties of Q-balls in the complex signum-Gordon model in d spatial dimensions is studied. We obtain a general virial relation for this kind of Q-ball in higher-dimensional spacetime. We compute the energy and radii of a Q-ball with a V-shaped field potential as a function of spatial dimensionality and a parameter defining the model potential energy density to show that this kind of Q-ball can also survive stably in high-dimensional spacetime.
Quantum sine-Gordon dynamics on analogue curved spacetime in a weakly imperfect scalar Bose gas
Volkoff, T J
2016-01-01
Using the coherent state functional integral formulation of the partition function, we show that the sine-Gordon model on an analogue curved spacetime arises as the effective quantum field theory for phase fluctuations of a weakly imperfect Bose gas on an incompressible background superfluid flow, when these fluctuations are restricted to a subspace of the single-particle Hilbert space. We consider bipartitions of the single-particle Hilbert space relevant to experiments on ultracold bosonic atomic or molecular gases, including, e.g., restriction to high or low energy sectors of the dynamics, and spatial bipartition corresponding to tunnel-coupled planar Bose gases. By assuming full unitary quantum control in the low energy subspace of a trapped gas, we show that: 1) appropriately tuning the particle number statistics of the lowest energy mode partially decouples the low and high energy sectors, allowing any low-energy single-particle wavefunction to define a background for sine-Gordon dynamics on curved spac...
2004 Molecular Basis of Microbial One-Carbon Metabolism Gordon Conference - August 1-6, 2004
Joseph A. Krzycki
2005-09-15
The Gordon Research Conference (GRC) on 2004 Molecular Basis of Microbial One-Carbon Metabolism Gordon Conference - August 1-6, 2004 was held at Mount Holyoke College, South Hadley, MA from August 1-6, 2004. The Conference was well-attended with 117 participants (attendees list attached). The attendees represented the spectrum of endeavor in this field coming from academia, industry, and government laboratories, both U.S. and foreign scientists, senior researchers, young investigators, and students. In designing the formal speakers program, emphasis was placed on current unpublished research and discussion of the future target areas in this field. There was a conscious effort to stimulate lively discussion about the key issues in the field today. Time for formal presentations was limited in the interest of group discussions. In order that more scientists could communicate their most recent results, poster presentation time was scheduled. Attached is a copy of the formal schedule and speaker program and the poster program. In addition to these formal interactions, 'free time' was scheduled to allow informal discussions. Such discussions are fostering new collaborations and joint efforts in the field.
News from the Library: Gordon Fraser presents his book, "Quantum Exodus"
CERN Library
2012-01-01
The book "Quantum Exodus" will be presented by the author Gordon Fraser on Thursday 14 June at 4 P.M. in the Library, Building 52-1-052. "Quantum Exodus" by Gordon Fraser, Oxford University Press, 2012. Here's what the publisher says about the book: "It was no accident that the Holocaust and the Atomic Bomb happened at the same time. (...) Atomic science had attracted a lot of Jewish talent, and as Albert Einstein and other quantum exiles scattered, they realized that they held the key to a weapon of unimaginable power. Convinced that their gentile counterparts in Germany had come to the same conclusion, and having witnessed what the Nazis were prepared to do, the exiles were afraid. They had to get to the Atomic Bomb first. The Nazis meanwhile had acquired a more pressing objective: their persecution of the Jews had evolved into extermination. Two dreadfu...
2004 Inorganic Chemistry Gordon Research Conference - July 18-23, 2004
David Clark
2005-09-16
The Gordon Research Conference (GRC) on 2004 Inorganic Chemistry Gordon Research Conference - July 18-23, 2004 was held at Salve Regina College, July 18-23, 2004. The Conference was well-attended with 110 participants (attendees list attached). The attendees represented the spectrum of endeavor in this field coming from academia, industry, and government laboratories, both U.S. and foreign scientists, senior researchers, young investigators, and students. In designing the formal speakers program, emphasis was placed on current unpublished research and discussion of the future target areas in this field. There was a conscious effort to stimulate lively discussion about the key issues in the field today. Time for formal presentations was limited in the interest of group discussions. In order that more scientists could communicate their most recent results, poster presentation time was scheduled. Attached is a copy of the formal schedule and speaker program and the poster program. In addition to these formal interactions, 'free time' was scheduled to allow informal discussions. Such discussions are fostering new collaborations and joint efforts in the field.
Extended F-Expansion Method and Periodic Wave Solutions for Klein-Gordon-Schr(o)dinger Equations
LI Xiao-Yan; LI Xiang-Zheng; WANG Ming-Liang
2006-01-01
We present an extended F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics. By using extended F-expansion method, many periodic wave solutions expressed by various Jacobi elliptic functions for the Klein-Gordon-Schrodinger equations are obtained. In the limit cases, the solitary wave solutions and trigonometric function solutions for the equations are also obtained.
Presentation at the Environmental Endocrine Disruptors Gordon Conference in Newry, ME June 22, 2016 to give an overview of the use of high throughput screening and high throughput toxicokinetics to build models for endocrine disruption by environmental chemicals for estrogen rece...
M.R. Setare; O.Hatami
2009-01-01
Based on the shape invariance property we obtain exact solutions of the three-dimensional relativistic Klein-Gordon equation for a charged particle moving in the presence of a certain varying magnetic field, and we also show its non-relativistic limit.
Of Madness and Empire: The Rhetor as "Fool" in the Khartoum Siege Journals of Charles Gordon, 1884
Bass, Jeff D.
2007-01-01
This essay examines the rhetorical persona of the "Fool" as employed by General Charles Gordon in six volumes of journals recorded during the siege of Khartoum by Mahdist forces from September to December, 1884. After identifying the particular rhetorical aspects of the "Fool" as social critic/site of ideological contestation,…
Yeakey, Carol Camp, Ed.
This volume focuses on the work of Edmund W. Gordon and the influence he has had on contemporary thinking in psychology, education, and social policy, and the implications of his work for the schooling of lower-status youth and children of color in the United States. The chapters are: (1) "The Social Context of Emotions in Black Adolescents:…
From B(a)cklund Transformation to a Linear System of Sine-Gordon Theory in Superspace
M. Siddiq; M. Hassan
2005-01-01
@@ A systematic approach is presented to find a linear system associated with the sine-Gordon equation from a given set of super Riccati systems. The Riccati system is shown to be related to the super B(a)cklund transformation and the linear eigenvalue problem.
Bound States of the Klein-Gordon and Dirac equations for potential V0 tanh2(r/d)
Qiang Wen-Chao
2004-01-01
The exact bound state wavefunctions and energy equations of Klein-Gordon and Dirac equations are given with equal scalar and vector potential s(r) = v(r) = V(r)/2 = V0 tanh2(r/d). The relation between the energy equation and that of relativistic harmonic is discussed.
Chen Gang; Chen Zi-Dong; Lou Zhi-Mei
2004-01-01
The exact bound state solutions of the Klein-Gordon equation and Dirac equation with scalar and vector pseudoharmonic oscillator potentials are obtained in this paper. Furthermore, we have used the supersymmetric quantum mechanics, shape invariance and alternative method to obtain the required results.
Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall
Koehn, Michael
2013-01-01
Employing a transformation to hyperbolic space, we derive in a simple way exact solutions for the Klein-Gordon equation in an infinite square-well potential with one boundary moving at constant velocity, for the massless as well as for the massive case.
Bound-State Solution of s-Wave Klein-Gordon Equation for Woods-Saxon Potential
Eser Olğar
2015-01-01
Full Text Available The bound-state solution of s-wave Klein-Gordon equation is calculated for Woods-Saxon potential by using the asymptotic iteration method (AIM. The energy eigenvalues and eigenfunctions are obtained for the required condition of bound-state solutions.
Approximate Solution of D-Dimensional Klein-Gordon Equation with Hulthen-Type Potential via SUSYQM
H. Hassanabadi; S. Zarrinkamar; H. Rahimov
2011-01-01
Approximate analytical solutions of the D-dimensional Klein-Gordon equation are obtained for the scalar and vector general Hulthen-type potential and position-dependent mass with any l by using the concept of supersymmetric quantum mechanics （SUSYQM）. The problem is numerically discussed for some cases of parameters.
Ita, B. I.; Obong, H. P.; Ehi-Eromosele, C. O.; Edobor-Osoh, A.; Ikeuba, A. I.
2014-11-01
The solutions of the Klein-Gordon equation with equal scalar and vector harmonic oscillator plus inverse quadratic potential for S-waves have been presented using the Nikiforov-Uvarov method. The bound state energy eigenvalues and the corresponding un-normalized eigenfunctions are obtained in terms of the Laguerre polynomials.
Derivation of the energy-momentum and Klein-Gordon equations from El Naschie's complex time
Di Sigalotti, Leonardo G. [Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas, IVIC, Apartado 20632, Caracas 1020A (Venezuela, Bolivarian Republic of)], E-mail: leonardo.sigalotti@gmail.com; Mejias, Antonio [Instituto Universitario Tecnologico de Ejido, IUTE, Avenida 25 de Noviembre, Ejido 5251, Estado Merida (Venezuela, Bolivarian Republic of)], E-mail: antoniojmm@cantv.net; Trujillo, Leonardo [Centro de Fisica, Instituto Venezolano de Investigaciones Cientificas, IVIC, Apartado 20632, Caracas 1020A (Venezuela, Bolivarian Republic of)], E-mail: leo@ivic.ve
2009-12-15
In a previous note, we have provided a formal derivation of the transverse Doppler shift of special relativity from the generalization of El Naschie's complex time. Here, we show that the relativistic energy-momentum equation, and hence the Klein-Gordon equation, are also natural consequences of the complex time generalization.
1986-09-01
recommendation. QWI"DV Ni- F- estr :_ .le ute The coupliance of the recoymended plan with Water Resource Council designated environmental statutes is...IlI25 "Ittl LIlI .6 MICROCOPY RESOLUTION TESI CHART NAIONCA PLIFEAU O T ’JAN[D’A > TABLE 3-4 Upper Gordons Creek Initial Stage Plan Formulation
Daniels, Charles
2001-08-10
The Gordon Research Conference on Archaea: Ecology, Metabolism [and Molecular Biology] was held at Proctor Academy, Andover, New Hampshire, August 5-10, 2001. The conference was attended by 135 participants. The attendees represented the spectrum of endeavor in this field, coming from academia, industry, and government laboratories, and included US and foreign scientists, senior researchers, young investigators, and students. Emphasis was placed on current unpublished research and discussion of the future target areas in this field. There was a conscious effort to stimulate discussion about the key issues in the field today. Session topics included the following: Ecology and genetic elements; Genomics and evolution; Ecology, genomes and gene regulation; Replication and recombination; Chromatin and transcription; Gene regulation; Post-transcription processing; Biochemistry and metabolism; Proteomics and protein structure; Metabolism and physiology. The featured speaker addressed the topic: ''Archaeal viruses, witnesses of prebiotic evolution?''
2013 Gordon Research Conference, Inorganic reaction mechanisms, Galveston, TX, March 3-8 2013
Abu-Omar, Mahdi M. [Purdue Univ., West Lafayette, IN (United States)
2012-12-08
The 2013 Gordon Conference on Inorganic Reaction Mechanisms will present cutting-edge research on the molecular aspects of inorganic reactions involving elements from throughout the periodic table and state-of-the art techniques that are used in the elucidation of reaction mechanisms. The Conference will feature a wide range of topics, such as homogeneous and heterogeneous catalysis, metallobiochemistry, electron-transfer in energy reactions, polymerization, nitrogen fixation, green chemistry, oxidation, solar conversion, alkane functionalization, organotransition metal chemistry, and computational chemistry. The talks will cover themes of current interest including energy, materials, and bioinorganic chemistry. Sections cover: Electron-Transfer in Energy Reactions; Catalytic Polymerization and Oxidation Chemistry; Kinetics and Spectroscopy of Heterogeneous Catalysts; Metal-Organic Chemistry and its Application in Synthesis; Green Energy Conversion;Organometallic Chemistry and Activation of Small Molecules; Advances in Kinetics Modeling and Green Chemistry; Metals in Biology and Disease; Frontiers in Catalytic Bond Activation and Cleavage.
A stability analysis of a real space split operator method for the Klein-Gordon equation
Blumenthal, Frederick
2011-01-01
We carry out a stability analysis for the real space split operator method for the propagation of the time-dependent Klein-Gordon equation that has been proposed in J. Comput. Phys. 228 (24) (2009) 9092-9106. The region of algebraic stability is determined analytically by means of a von-Neumann stability analysis for systems with homogeneous scalar and vector potentials. Algebraic stability implies convergence of the real space split operator method for smooth absolutely integrable initial conditions. In the limit of small spatial grid spacings h in each of the d spatial dimensions and small temporal steps, the stability condition becomes h/{\\tau}>\\surddc for second order finite differences and \\surd3h/(2{\\tau})>\\surddc for fourth order finite differences, respectively, with c denoting the speed of light. Furthermore, we demonstrate numerically that the stability region for systems with inhomogeneous potentials coincides almost with the region of algebraic stability for homogeneous potentials.
Faith 7 L. Gordon Cooper, Jr., and the final Mercury mission
Burgess, Colin
2016-01-01
This book celebrates the final spaceflight in the Mercury series, flown by NASA astronaut Gordon Cooper, who led an adventurous life in the cockpit of airplanes and spacecraft alike, and on his Mercury mission he became the last American ever to rocket into space alone. He flew in the Mercury and Gemini programs and served as head of flight crew operations in both the Apollo and Skylab programs. His final Mercury mission closed out a pivotal chapter in American spaceflight. Based on extensive research and first-person interviews, this is a complete history of the Faith 7 flight and its astronaut. Cooper later gained notoriety following the release of the movie, The Right Stuff, in which he was depicted by Dennis Quaid, but Burgess discovers there was even more drama to his story. This recounting of the final Mercury 7 flight completes Burgess's investigation of the early spaceflight program in thrilling fashion.
Lattice approach to finite volume form-factors of the Massive Thirring (Sine-Gordon) model
Hegedűs, Árpád
2017-08-01
In this paper we demonstrate, that the light-cone lattice approach for the Massive-Thirring (sine-Gordon) model, through the quantum inverse scattering method, admits an appropriate framework for computing the finite volume form-factors of local operators of the model. In this work we compute the finite volume diagonal matrix elements of the U(1) conserved current in the pure soliton sector of the theory. Based on the systematic large volume expansion of our results, we conjecture an exact expression for the finite volume expectation values of local operators in pure soliton states. At large volume in leading order these expectation values have the same form as in purely elastic scattering theories, but exponentially small corrections differ from previous Thermodynamic Bethe Ansatz conjectures of purely elastic scattering theories.
Asymptotic properties of solutions of the Maxwell Klein Gordon equation with small data
Bieri, Lydia; Shahshahani, Sohrab
2014-01-01
We prove peeling estimates for the small data solutions of the Maxwell Klein Gordon equations with non-zero charge and with a non-compactly supported scalar field, in $(3+1)$ dimensions. We obtain the same decay rates as in an earlier work by Lindblad and Sterbenz, but giving a simpler proof. In particular we dispense with the fractional Morawetz estimates for the electromagnetic field, as well as certain space-time estimates. In the case that the scalar field is compactly supported we can avoid fractional Morawetz estimates for the scalar field as well. All of our estimates are carried out using the double null foliation and in a gauge invariant manner.
SOLITONES KINK Y ANTIKENK EN LA ECUACIÓN DE SINE -GORDON
Francis Armando Segovia Chaves
2012-08-01
Full Text Available La ecuación de sine-Gordon es una ecuación diferencial no lineal, tiene grandes aplicaciones no solamente en la teoría de campos relativistas, sino también encuentra aplicación en la física del estado sólido y en el transporte de señales en la fibra óptica. En este trabajo se estudian dos soluciones que tiene esta ecuación diferencial como lo son las soluciones tipo solitón kink y soluciones tipo solitón antikink. Para obtener dichas soluciones se realiza el modelamiento matemático y se representa gráficamente su evolución espacio temporal.
Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system
Holzegel, Gustav
2011-01-01
In this paper, we study the global behavior of solutions to the spherically symmetric coupled Einstein-Klein-Gordon (EKG) system in the presence of a negative cosmological constant. We prove that the Schwarzschild-AdS spacetimes (the trivial black hole solutions of the EKG system for which $\\phi=0$ identically) are asymptotically stable: Small perturbations of Schwarzschild-AdS initial data again lead to regular black holes, with the metric on the black hole exterior approaching a Schwarzschild-AdS spacetime. The main difficulties in the proof arise from the lack of monotonicity for the Hawking mass and the asymptotically AdS boundary conditions, which render even (part of) the orbital stability intricate. These issues are resolved in a bootstrap argument on the black hole exterior, with the redshift effect and weighted Hardy inequalities playing the fundamental role in the analysis. Both integrated decay and pointwise decay estimates are obtained.
Sine-Gordon solitons, auxiliary fields and singular limit of a double pendulums chain
Cadoni, Mariano [Dipartimento di Fisica, Universita di Cagliari and I.N.F.N., Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato (Italy); Leo, Roberto De [Dipartimento di Fisica, Universita di Cagliari and I.N.F.N., Sezione di Cagliari, Cittadella Universitaria, 09042 Monserrato (Italy); Gaeta, Giuseppe [Dipartimento di Matematica, Universita di Milano, via Saldini 50, 20133 Milano (Italy)
2007-10-26
We consider the continuum version of an elastic chain supporting topological and non-topological degrees of freedom; this generalizes a model for the dynamics of DNA recently proposed and investigated by ourselves. In a certain limit, the non-topological degrees of freedom are frozen, and the model reduces to the sine-Gordon equations and thus supports well-known topological soliton solutions. We consider a (singular) perturbative expansion around this limit and study in particular how the non-topological field assumes the role of an auxiliary field. This provides a more general framework for the slaving of this degree of freedom on the topological one, already observed elsewhere in the context of the mentioned DNA model; in this framework one expects such a phenomenon to arise in a quite large class of field-theoretical models.
2008 Multiphoton Processes Gordon Research Conferences - June 8-13, 2008
Mette B. Gaarde
2009-08-28
In 2008 the Gordon Research Conference on Multiphoton Processes is held for the 14th time. The meeting continues to evolve as it embraces both the rapid technological and intellectual growth in the field as well as the multi-disciplinary expertise of the participants. This time the sessions will focus on: (1) Attosecond Science; (2) Free-electron laser experiments and theory; (3) Ultrafast dynamics of molecules; (4) Laser control of molecules; (5) Ultrafast imaging; (6) Super-high intensity and x-rays; (7) Strong field processes in molecules; and (8) Control atoms with light and vice versa. The scientific program will blur traditional disciplinary boundaries as the presenters and discussion leaders involve chemists, physicists, and optical engineers, representing both experiment and theory. The broad range of expertise and different perspectives of attendees should provide a stimulating and unique environment for solving problems and developing new ideas in this rapidly evolving field.
Johnson, Mark
2001-07-13
The Gordon Research Conference on Photoions, Photoionization and Photodetachment was held at Williams College, Williamstown, Massachusetts, July 8-13, 2001. The 72 conference attendees represented the spectrum of endeavor in this field, coming from academia, industry, and government laboratories, and including US and foreign scientists, senior researchers, young investigators, and students. Emphasis was placed on current unpublished research and discussion of the future target areas in this field. There was a conscious effort to stimulate discussion about the key issues in the field today. Time for formal presentations was limited. Sessions included the following topics: Vibrational structure, Time resolved studies: nuclear wavepackets, Valence photoionization, Clusters and networks, Resonance structures and decay mechanisms, Ultrafast photoionization, Threshold photoionization, Molecule fixed properties, and Collisional phenomena.
2010 MULTIPHOTON PROCESSES GORDON RESEARCH CONFERENCE, JUNE 6-11, 2010, TILTON, NH
Mette Gaarde
2010-06-11
The Gordon Research Conference on Multiphoton Processes will be held for the 15th time in 2010. The meeting continues to evolve as it embraces both the rapid technological and intellectual growth in the field as well as the multi-disciplinary expertise of the participants. This time the sessions will focus on: (1) Ultrafast coherent control; (2) Free-electron laser experiments and theory; (3) Generation of harmonics and attosecond pulses; (4) Ultrafast imaging; (5) Applications of very high intensity laser fields; (6) Strong-field processes in molecules and solids; (7) Attosecond science; and (8) Controlling light. The scientific program will blur traditional disciplinary boundaries as the presenters and discussion leaders involve chemists, physicists, and optical engineers, representing both experiment and theory. The broad range of expertise and different perspectives of attendees should provide a stimulating and unique environment for solving problems and developing new ideas in this rapidly evolving field.
1997 Gordon Research Conference on Plant Cell Walls. Final progress report
Staehelin, A.
1999-08-25
The Gordon Research Conference (GRC) on Plant Cell Walls was held at Tilton School, Tilton, New Hampshire, July 18-22, 1997. The conference was well attended with 106 participants. The attendees represented the spectrum of endeavor in this field coming from academia, industry, and government laboratories, both US and foreign scientists, senior researchers, young investigators, and students. In designing the formal speakers program, emphasis was placed on current unpublished research and discussion of the future target areas in this field. There was a conscious effort to stimulate lively discussion about the key issues in the field today. Time for formal presentations was limited in the interest of group discussions. In order that more scientists could communicate their most recent results, poster presentation time was scheduled. In addition to these formal interactions, free time was scheduled to allow informal discussions. Such discussions are fostering new collaborations and joint efforts in the field.
Vapor-liquid phase equilibria of water modelled by a Kim-Gordon potential
Maerzke, K A; McGrath, M J; Kuo, I W; Tabacchi, G; Siepmann, J I; Mundy, C J
2009-03-16
Gibbs ensemble Monte Carlo simulations were carried out to investigate the properties of a frozen-electron-density (or Kim-Gordon, KG) model of water along the vapor-liquid coexistence curve. Because of its theoretical basis, such a KG model provides for seamless coupling to Kohn-Sham density functional theory for use in mixed quantum mechanics/molecular mechanics (QM/MM) implementations. The Gibbs ensemble simulations indicate rather limited transferability of such a simple KG model to other state points. Specifically, a KG model that was parameterized by Barker and Sprik to the properties of liquid water at 300 K, yields saturated vapor pressures and a critical temperature that are significantly under- and over-estimated, respectively.
The solution of the two-dimensional sine-Gordon equation using the method of lines
Bratsos, A. G.
2007-09-01
The method of lines is used to transform the initial/boundary-value problem associated with the two-dimensional sine-Gordon equation in two space variables into a second-order initial-value problem. The finite-difference methods are developed by replacing the matrix-exponential term in a recurrence relation with rational approximants. The resulting finite-difference methods are analyzed for local truncation error, stability and convergence. To avoid solving the nonlinear system a predictor-corrector scheme using the explicit method as predictor and the implicit as corrector is applied. Numerical solutions for cases involving the most known from the bibliography line and ring solitons are given.
Phase transition from the symmetry breaking of charged Klein–Gordon fields
Matos, T.; Castellanos, E. [Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, A.P. 14-740, 07000 México D.F. (Mexico)
2014-01-14
We analyze the phase transition associated with the U(1) symmetry breaking of the complex Klein–Gordon (KG) equation with a Mexican–hat scalar field potential up to one loop in perturbations immersed in a thermal bath. We show that the KG equation reduces to a Gross–Pitaevskii like–equation (GP), which also contains the entire information of the phase transition. Indeed, the thermal bath contributions, together with the corresponding U(1) local symmetry, allow us to interpret the resulting GP equation as a charged and finite temperature version of the system. Finally, we obtain the hydrodynamics and consequently, the corresponding thermodynamics, and show that breakdown of the U(1) local symmetry of the KG field into the new version of the GP equation corresponds, under certain circumstances, to a phase transition of the gas into a condensate, superfluid, and/or superconductor.
On the Convolution Equation Related to the Diamond Klein-Gordon Operator
Amphon Liangprom
2011-01-01
Full Text Available We study the distribution eαx(♢+m2kδ for m≥0, where (♢+m2k is the diamond Klein-Gordon operator iterated k times, δ is the Dirac delta distribution, x=(x1,x2,…,xn is a variable in ℝn, and α=(α1,α2,…,αn is a constant. In particular, we study the application of eαx(♢+m2kδ for solving the solution of some convolution equation. We find that the types of solution of such convolution equation, such as the ordinary function and the singular distribution, depend on the relationship between k and M.
2012 BIOINSPIRED MATERIALS GORDON RESEARCH CONFERENCE, JUNE 24-29, 2012
Chilkoti, Ashutosh
2013-06-29
The emerging, interdisciplinary field of Bioinspired Materials focuses on developing a fundamental understanding of the synthesis, directed self-assembly and hierarchical organization of natural occurring materials, and uses this understanding to engineer new bioinspired artificial materials for diverse applications. The inaugural 2012 Gordon Conference on Bioinspired Materials seeks to capture the excitement of this burgeoning field by a cutting-edge scientific program and roster of distinguished invited speakers and discussion leaders who will address the key issues in the field. The Conference will feature a wide range of topics, such as materials and devices from DNA, reprogramming the genetic code for design of new materials, peptide, protein and carbohydrate based materials, biomimetic systems, complexity in self-assembly, and biomedical applications of bioinspired materials.
2012 Gordon Research Conference, Plant molecular biology, July 15-20 2012
Sussman, Michael R. [Univ. of Wisconsin, Madison, WI (United States)
2013-07-20
The 2012 Gordon Conference on Plant Molecular Biology will present cutting-edge research on molecular aspects of plant growth and development, with particular emphasis on recent discoveries in molecular mechanisms involved with plant signaling systems. The Conference will feature a wide range of topics in plant molecular biology including hormone receptors and early events in hormone signaling, plant perception of and response to plant pathogen and symbionts, as well as technological and biological aspects of epigenomics particularly as it relates to signaling systems that regulate plant growth and development. Genomic approaches to plant signaling will be emphasized, including genomic profiling technologies for quantifying various biological subsystems, such as the epigenome, transcriptome, phosphorylome, and metabolome. The meeting will include an important session devoted to answering the question, "What are the biological and technological limits of plant breeding/genetics, and how can they be solved"?
Sánchez, A; Domínguez-Adame, F; Angel Sanchez; Francisco Dominguez-Adame
1994-01-01
We have examined the dynamical behavior of the kink solutions of the one-dimensional sine-Gordon equation in the presence of a spatially periodic parametric perturbation. Our study clarifies and extends the currently available knowledge on this and related nonlinear problems in four directions. First, we present the results of a numerical simulation program which are not compatible with the existence of a radiative threshold, predicted by earlier calculations. Second, we carry out a perturbative calculation which helps interpret those previous predictions, enabling us to understand in depth our numerical results. Third, we apply the collective coordinate formalism to this system and demonstrate numerically that it accurately reproduces the observed kink dynamics. Fourth, we report on a novel occurrence of length scale competition in this system and show how it can be understood by means of linear stability analysis. Finally, we conclude by summarizing the general physical framework that arises from our study.
Didactic derivation of the special theory of relativity from Klein-Gordon equation
Arodź, H
2014-01-01
We present a didactic derivation of the special theory of relativity in which Lorentz transformations are `discovered' as symmetry transformations of Klein-Gordon equation. The interpretation of Lorentz boosts as transformations to moving inertial reference frames is not assumed at the start, but it naturally appears at a later stage. The relative velocity $\\textbf{v}$ of two inertial reference frames is defined in terms of the elements of the pertinent Lorentz matrix, and the bound $|\\textbf{v}|
Multisymplectic approach to integrable defects in the sine-Gordon model
Caudrelier, Vincent
2014-01-01
Ideas from the theory of multisymplectic systems, introduced recently in integrable systems by the author and Kundu to discuss Liouville integrability in classical field theories with a defect, are applied to the sine-Gordon model. The key ingredient is the introduction of a second Poisson bracket in the theory that allows for a Hamiltonian description of the model that is completely equivalent to the standard one, in the absence of a defect. In the presence of a defect described by frozen B\\"acklund transformations, our approach based on the new bracket unifies the various tools used so far to attack the problem. It also gets rid of the known issues related to the evaluation of the Poisson brackets of the defect matrix which involve fields at coinciding space point (the location of the defect). The original Lagrangian approach also finds a nice reinterpretation in terms of the canonical transformation representing the defect conditions.
Some Remarks on Similarity and Soliton Solutions of Nonlinear Klein-Gordon Equation
Tajiri, Masayoshi
1984-11-01
The three-dimensional nonlinear Klein-Gordon [, Higgs field and Yang-Milles] (3D-KG [, H and YM]) equation is first reduced to the 2D nonlinear Schrödinger (2D-NLS) and 2D-KG [, H and YM] equations, and secondly to the 1D-NLS and 1D-KG [, H and YM] equations by similarity transformations. It is shown that similar type soliton solutions of the 3D-KG, H and YM equations, which have singularity on a plane in (x, y, z, t) space, are obtained by substituting the soliton solutions of the 1D-NLS or 1D-KG (or H) equation into the similarity transformations. The soliton solutions of the YM equation are also investigated.
Acoustical Klein-Gordon equation: a time-independent perturbation analysis.
Forbes, Barbara J; Pike, E Roy
2004-07-30
The perturbation analysis of an ideal acoustical duct was first made by Rayleigh in 1878 and the result has since stood in the literature. However, the analysis is based on the assumption of potential and kinetic energy densities that remain constant as a change in cross section occurs, whereas, in fact, they may fluctuate significantly in comparison to the slowly varying "wave function," Psi(x,t), of the acoustical Klein-Gordon equation. The square of the time-independent eigenfunction, psi(2)(x), is directly proportional to the potential energy per unit length of fluid, and it is shown that it is precisely the perturbation in potential energy that defines correctly the eigenvalue shifts.
V. Mohammadi
2015-01-01
Full Text Available We study the two-dimensional Klein-Gordon equation with spin symmetry in the presence of the superintegrable potentials. On Euclidean space, the SO(3 group generators of the Schrödinger-like equation with the Kepler-Coulomb potential are represented. In addition, by Levi-Civita transformation, the Schrödinger-like equation with harmonic oscillator which is dual to the Kepler-Coulomb potential and the SU(2 group generators of associated system are studied. Also, we construct the quadratic algebra of the hyperboloid superintegrable system. Then, we obtain the corresponding Casimir operators and the structure functions and the relativistic energy spectra of the corresponding quasi-Hamiltonians by using the quadratic algebra approach.
Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G.
2014-12-01
This paper is a detailed and self-contained study of the stability properties of periodic traveling wave solutions of the nonlinear Klein-Gordon equation utt-uxx+V‧(u)=0, where u is a scalar-valued function of x and t, and the potential V(u) is of class C2 and periodic. Stability is considered both from the point of view of spectral analysis of the linearized problem (spectral stability analysis) and from the point of view of wave modulation theory (the strongly nonlinear theory due to Whitham as well as the weakly nonlinear theory of wave packets). The aim is to develop and present new spectral stability results for periodic traveling waves, and to make a solid connection between these results and predictions of the (formal) modulation theory, which has been developed by others but which we review for completeness.
Yang-Mills Field from Quaternion Space Geometry, and its Klein-Gordon Representation
Yefremov A.
2007-07-01
Full Text Available Analysis of covariant derivatives of vectors in quaternion (Q- spaces performed using Q-unit spinor-splitting technique and use of SL(2C-invariance of quaternion multiplication reveals close connexion of Q-geometry objects and Yang-Mills (YM field principle characteristics. In particular, it is shown that Q-connexion (with quaternion non-metricity and related curvature of 4 dimensional (4D space-times with 3D Q-space sections are formally equivalent to respectively YM-field potential and strength, traditionally emerging from the minimal action assumption. Plausible links between YM field equation and Klein-Gordon equation, in particular via its known isomorphism with Duffin-Kemmer equation, are also discussed.
Sharp comparison theorems for the Klein-Gordon equation in d dimensions
Hall, Richard L.; Zorin, Petr
2016-06-01
We establish sharp (or ’refined’) comparison theorems for the Klein-Gordon equation. We show that the condition Va ≤ Vb, which leads to Ea ≤ Eb, can be replaced by the weaker assumption Ua ≤ Ub which still implies the spectral ordering Ea ≤ Eb. In the simplest case, for d = 1, Ui(x) =∫0xV i(t)dt, i = a or b and for d > 1, Ui(r) =∫0rV i(t)td-1dt, i = a or b. We also consider sharp comparison theorems in the presence of a scalar potential S (a ‘variable mass’) in addition to the vector term V (the time component of a four-vector). The theorems are illustrated by a variety of explicit detailed examples.
Lim, C. W.; Wu, B. S.; He, L. H.
2001-12-01
A novel approach is presented for obtaining approximate analytical expressions for the dispersion relation of periodic wavetrains in the nonlinear Klein-Gordon equation with even potential function. By coupling linearization of the governing equation with the method of harmonic balance, we establish two general analytical approximate formulas for the dispersion relation, which depends on the amplitude of the periodic wavetrain. These formulas are valid for small as well as large amplitude of the wavetrain. They are also applicable to the large amplitude regime, which the conventional perturbation method fails to provide any solution, of the nonlinear system under study. Three examples are demonstrated to illustrate the excellent approximate solutions of the proposed formulas with respect to the exact solutions of the dispersion relation. (c) 2001 American Institute of Physics.
Dynamical Hamiltonian-Hopf instabilities of periodic traveling waves in Klein-Gordon equations
Marangell, R.; Miller, P. D.
2015-07-01
We study the unstable spectrum close to the imaginary axis for the linearization of the nonlinear Klein-Gordon equation about a periodic traveling wave in a co-moving frame. We define dynamical Hamiltonian-Hopf instabilities as points in the stable spectrum that are accumulation points for unstable spectrum, and show how they can be determined from the knowledge of the discriminant of Hill's equation for an associated periodic potential. This result allows us to give simple criteria for the existence of dynamical Hamiltonian-Hopf instabilities in terms of instability indices previously shown to be useful in stability analysis of periodic traveling waves. We also discuss how these methods can be applied to more general nonlinear wave equations.
Discrete gap breathers in a diatomic Klein-Gordon chain: stability and mobility.
Gorbach, Andrey V; Johansson, Magnus
2003-06-01
A one-dimensional diatomic chain with harmonic intersite potential and nonlinear external potential is considered (the Klein-Gordon model). Localized solutions of the corresponding nonlinear differential equations with frequencies inside the gap of the linear wave spectrum--"gap breathers"--are studied numerically. The linear stability analysis for these solutions is performed while changing the system parameters from the anticontinuous to the continuous limit. Two different types of solutions are considered: symmetric centered at a heavy atom and antisymmetric centered at a light atom, respectively. Different mechanisms of instability, oscillatory as well as nonoscillatory, of the gap breathers are studied, and the influence of the instabilities on the breather solutions is investigated in the dynamics simulations. In particular, the presence of an "inversion of stability" regime, with simultaneous nonoscillatory instabilities of symmetric and antisymmetric solutions with respect to antisymmetric perturbations, is found, yielding practically radiationless mobility.
Multi-site breathers in Klein--Gordon lattices: stability, resonances, and bifurcations
Pelinovsky, Dmitry
2011-01-01
We prove the most general theorem about spectral stability of multi-site breathers in the discrete Klein--Gordon equation with a small coupling constant. In the anti-continuum limit, multi-site breathers represent excited oscillations at different sites of the lattice separated by a number of "holes" (sites at rest). The theorem describes how the stability or instability of a multi-site breather depends on the phase difference and distance between the excited oscillators. Previously, only multi-site breathers with adjacent excited sites were considered within the first-order perturbation theory. We show that the stability of multi-site breathers with one-site holes change for large-amplitude oscillations in soft nonlinear potentials. We also discover and study a symmetry-breaking (pitchfork) bifurcation of one-site and multi-site breathers in soft quartic potentials near the points of 1:3 resonance.
Gallet, Basile; Dubrulle, Bérengère
2015-01-01
In field theory, particles are waves or excitations that propagate on the fundamental state. In experiments or cosmological models one typically wants to compute the out-of-equilibrium evolution of a given initial distribution of such waves. Wave Turbulence deals with out-of-equilibrium ensembles of weakly nonlinear waves, and is therefore well-suited to address this problem. As an example, we consider the complex Klein-Gordon equation with a Mexican-hat potential. This simple equation displays two kinds of excitations around the fundamental state: massive particles and massless Goldstone bosons. The former are waves with a nonzero frequency for vanishing wavenumber, whereas the latter obey an acoustic dispersion relation. Using wave turbulence theory, we derive wave kinetic equations that govern the coupled evolution of the spectra of massive and massless waves. We first consider the thermodynamic solutions to these equations and study the wave condensation transition, which is the classical equivalent of Bo...
The Critical Properties of a Modulated Quantum sine—Gordon Model
WANGZhi－Guo; ZHANGYu－Mei
2002-01-01
A new procedure of trial variational wave functional is proposed for investigating the mass renormalization and the local structure of the ground state of a one-dimensional quantum sine-Gordon model with linear spatial modulation,whose ground state differs from that without modulation.The phase diagram obtained in parameters (αΛ-2,β2) plane show that the vertical part of the boundary between soliton lattice phase and incommensurate (IC) phase with vanishing gap sticks at β2=4π,the IC phase can only appear for β2≥4π and the IC phase regime is enlarged with increasing spatial modulation in the case of definite parameter αΛ-2.The transition is of the continuous type on the vertical part of the boundary,while it is of the first order on the boundary for β2>4π.
On the Klein-Gordon equation using the dispersion relation of Doubly Special Relativity
Felipe, Yese J.
2017-01-01
The theory of Doubly Special Relativity or Deformed Special Relativity (DSR), proposes that there is a maximum energy scale and a minimum length scale that is invariant for all observers. These maximum energy and minimum length correspond to the Planck energy and the Planck length, respectively. As a consequence, the dispersion relation is modified to be E2 =p2c2 +m2c4 + λE3 + ... Previous work has been done to express Quantum Mechanics using the dispersion relation of DSR. Solutions of the free particle, the harmonic oscillator, and the Hydrogen atom have been obtained from the DSR Schrodinger equation. We explore how the DSR Klein-Gordon equation can be consistently approximated in the non-relativistic limit in order to derive the DSR Schrodinger equation.
Boundary effects on the supersymmetric sine-Gordon model through light-cone lattice approach
Matsui, Chihiro
2014-01-01
We discussed subspaces of the N=1 supersymmetric sine-Gordon model with Dirichlet boundaries through light-cone lattice regularization. In this paper, we showed, unlike the periodic boundary case, both of Neveu-Schwarz (NS) and Ramond (R) sectors of a superconformal field theory were obtained. Using a method of nonlinear integral equations for auxiliary functions defined by eigenvalues of transfer matrices, we found that an excitation state with an odd number of particles is allowed for a certain value of a boundary parameter even on a system consisting of an even number of sites. In a small-volume limit where conformal invariance shows up in the theory, we derived conformal dimensions of states constructed through the lattice-regularized theory. The result shows existence of the R sector, which cannot be obtained from the periodic system, while a winding number is restricted to an integer or a half-integer depending on boundary parameters.
Gordon and Kerr-Schild ansatze in massive and bimetric gravity
Baccetti, Valentina; Visser, Matt
2012-01-01
We develop the "generalized Gordon ansatz" for the ghost-free versions of both massive and bimetric gravity, an ansatz which is general enough to include almost all spacetimes commonly considered to be physically interesting, and restricted enough to greatly simplify calculations. The ansatz allows explicit calculation of the matrix square root gamma = sqrt{g^{-1} f} appearing as a central feature of the ghost-free analysis. In particular, this ansatz automatically allows us to write the effective stress-energy tensor as that corresponding to a perfect fluid. A qualitatively similar "generalized Kerr-Schild ansatz" can also be easily considered, now leading to an effective stress-energy tensor that corresponds to a null fluid. Cosmological implications are considered, as are consequences for black hole physics. Finally we have a few words to say concerning the null energy condition in the framework provided by these ansatze.
Stability study of a model for the Klein-Gordon equation in Kerr spacetime
Beyer, Horst Reinhard; Megevand, Miguel; Degollado, Juan Carlos
2012-01-01
The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the problem of the stability of the solutions of the Klein-Gordon equation, describing the propagation of a scalar field of mass $\\mu$ in the background of a rotating black hole. Rigorous results proof the stability of the reduced, by separation in the azimuth angle in Boyer-Lindquist coordinates, field for sufficiently large masses. Some, but not all, numerical investigations find instability of the reduced field for rotational parameters $a$ extremely close to 1. Among others, the paper derives a model problem for the equation which supports the instability of the field down to $a/M \\approx 0.97$.
2012 MOLECULAR AND IONIC CLUSTERS GORDON RESEARCH CONFERENCE, JANUARY 29 - FEBRUARY 3, 2012
Anne McCoy
2012-02-03
The Gordon Research Conference on 'Molecular and Ionic Clusters' focuses on clusters, which are the initial molecular species found in gases when condensation begins to occur. Condensation can take place solely from molecules interacting with each other, mostly at low temperatures, or when molecules condense around charged particles (electrons, protons, metal cations, molecular ions), producing ion molecule clusters. These clusters provide models for solvation, allow a pristine look at geometric as well as electronic structures of molecular complexes or matter in general, their interaction with radiation, their reactivity, their thermodynamic properties and, in particular, the related dynamics. This conference focuses on new ways to make clusters composed of different kinds of molecules, new experimental techniques to investigate the properties of the clusters and new theoretical methods with which to calculate the structures, dynamical motions and energetics of the clusters. Some of the main experimental methods employed include molecular beams, mass spectrometry, laser spectroscopy (from infrared to XUV; in the frequency as well as the time domain) and photoelectron spectroscopy. Techniques include laser absorption spectroscopy, laser induced fluorescence, resonance enhanced photoionization, mass-selected photodissociation, photofragment imaging, ZEKE photoelectron spectroscopy, etc. From the theoretical side, this conference highlights work on potential surfaces and measurable properties of the clusters. The close ties between experiment, theory and computation have been a hallmark of the Gordon Research Conference on Molecular and Ionic Clusters. In the 2012 meeting, we plan to have sessions that will focus on topics including: (1) The use of cluster studies to probe fundamental phenomena; (2) Finite size effects on structure and thermodynamics; (3) Intermolecular forces and cooperative effects; (4) Molecular clusters as models for solvation; and (5
Prof. Krishna Niyogi
2011-06-17
Photosynthesis is the biological process that converts solar energy into chemical energy. Elucidation of the mechanisms of photosynthetic energy conversion at a molecular level is fundamentally important for understanding the biology of photosynthetic organisms, for optimizing biological solar fuels production, and for developing biologically inspired approaches to solar energy conversion. The 2011 Gordon Conference on Photosynthesis will present cutting-edge research focusing on the biochemical aspects of photosynthesis, including: (1) structure, assembly, and function of photosynthetic complexes; (2) the mechanism of water splitting by PSII; (3) light harvesting and quenching; (4) alternative electron transport pathways; (5) biosynthesis of pigments and cofactors; and (6) improvement of photosynthesis for bioenergy and food production. Reflecting the interdisciplinary nature of photosynthesis research, a diverse group of invited speakers will represent a variety of scientific approaches to investigate photosynthesis, such as biochemistry, molecular genetics, structural biology, systems biology, and spectroscopy. Highly interactive poster sessions provide opportunities for graduate students and postdocs to present their work and exchange ideas with leaders in the field. One of the highlights of the Conference is a session featuring short talks by junior investigators selected from the poster presentations. The collegial atmosphere of the Photosynthesis GRC, with programmed discussion sessions as well as informal gatherings in the afternoons and evenings, enables participants to brainstorm, exchange ideas, and forge new collaborations. For the second time, this Conference will be immediately preceded by a Gordon Research Seminar on Photosynthesis (June 11-12, 2011, at the same location), with a focus on 'Photosynthesis, Bioenergy, and the Environment.' The GRS provides an additional opportunity for graduate students and postdocs to present their research
Isotope effects in the evaporation of water: a status report of the Craig-Gordon model.
Horita, Juske; Rozanski, Kazimierz; Cohen, Shabtai
2008-03-01
The Craig-Gordon model (C-G model) [H. Craig, L.I. Gordon. Deuterium and oxygen 18 variations in the ocean and the marine atmosphere. In Stable Isotopes in Oceanographic Studies and Paleotemperatures, E. Tongiorgi (Ed.), pp. 9-130, Laboratorio di Geologia Nucleare, Pisa (1965).] has been synonymous with the isotope effects associated with the evaporation of water from surface waters, soils, and vegetations, which in turn constitutes a critical component of the global water cycle. On the occasion of the four decades of its successful applications to isotope geochemistry and hydrology, an attempt is made to: (a) examine its physical background within the framework of modern evaporation models, (b) evaluate our current knowledge of the environmental parameters of the C-G model, and (c) comment on a general strategy for the use of these parameters in field applications. Despite its simplistic representation of evaporation processes at the water-air interface, the C-G model appears to be adequate to provide the isotopic composition of the evaporation flux. This is largely due to its nature for representing isotopic compositions (a ratio of two fluxes of different isotopic water molecules) under the same environmental conditions. Among many environmental parameters that are included in the C-G model, accurate description and calculations are still problematic of the kinetic isotope effects that occur in a diffusion-dominated thin layer of air next to the water-air interface. In field applications, it is of importance to accurately evaluate several environmental parameters, particularly the relative humidity and isotopic compositions of the 'free-atmosphere', for a system under investigation over a given time-scale of interest (e.g., hourly to daily to seasonally). With a growing interest in the studies of water cycles of different spatial and temporal scales, including paleoclimate and water resource studies, the importance and utility of the C-G model is also likely to
Applying GORE-TEX technology for rapid contaminant assessments at Fort Gordon, Georgia
Falls, Fred W.; Harrelson, Larry G.; Ratliff, W. Hagan; Wellborn, John B.; Landmeyer, James E.
2010-01-01
The U.S. Geological Survey, in cooperation with the U.S. Department of the Army at Fort Gordon, Georgia, deployed GORE1 adsorbent samplers along creeks and floodplains to rapidly assess potential contamination at abandoned facilities and in adjacent surface water. The samplers provide screening-level data to determine the presence or absence of volatile organic compounds, semi-volatile organic compounds, and polycyclic aromatic hydrocarbons and were deployed in saturated creek and floodplain sediments adjacent to four abandoned waste-disposal/warfare-training sites. Fuelrelated compounds, not solvents, are the most prevalent organic compounds detected along segments of McCoys Creek adjacent to the 19th Street landfill; South Prong Creek adjacent to the South Prong Creek waste-disposal area; an unnamed tributary to Butler Creek adjacent to the old hospital landfill; and the Brier Creek floodplain adjacent to the Patterson anti-tank range. All 37 samplers deployed in these assessments had detections of total petroleum hydrocarbons ranging from just above 3 (laboratory method detection level) to 344 micrograms per liter. Detections of octane that ranged from 1 to 7.6 micrograms per liter were common in all assessments, except for South Prong Creek. Calculated concentrations of benzene are at or just above the National Primary Drinking Water Standard maximum contaminant level for all samplers deployed in the floodplain at the Patterson anti-tank range. The highest calculated concentration of a specific fuel-related compound was for toluene collected at one sampling site on McCoys Creek adjacent to the 19th Street landfill, but the concentration was below the National Primary Drinking Water Standard. These results are being used by Fort Gordon environmental compliance personnel to decide if further assessments are needed at these abandoned waste-disposal/warfare-training sites
Non-equilibrium steady states in the Klein-Gordon theory
Doyon, Benjamin; Lucas, Andrew; Schalm, Koenraad; Bhaseen, M. J.
2015-03-01
We construct non-equilibrium steady states in the Klein-Gordon theory in arbitrary space dimension d following a local quench. We consider the approach where two independently thermalized semi-infinite systems, with temperatures {{T}L} and {{T}R}, are connected along a d-1-dimensional hypersurface. A current-carrying steady state, described by thermally distributed modes with temperatures {{T}L} and {{T}R} for left and right-moving modes, respectively, emerges at late times. The non-equilibrium density matrix is the exponential of a non-local conserved charge. We obtain exact results for the average energy current and the complete distribution of energy current fluctuations. The latter shows that the long-time energy transfer can be described by a continuum of independent Poisson processes, for which we provide the exact weights. We further describe the full time evolution of local observables following the quench. Averages of generic local observables, including the stress-energy tensor, approach the steady state with a power-law in time, where the exponent depends on the initial conditions at the connection hypersurface. We describe boundary conditions and special operators for which the steady state is reached instantaneously on the connection hypersurface. A semiclassical analysis of freely propagating modes yields the average energy current at large distances and late times. We conclude by comparing and contrasting our findings with results for interacting theories and provide an estimate for the timescale governing the crossover to hydrodynamics. As a modification of our Klein-Gordon analysis we also include exact results for free Dirac fermions.
2012 Photosynthesis Gordon Research Conference and Seminar, JUL 7-13, 2012
Debus, Richard [Univ. of California, Riverside, CA (United States)
2012-07-13
The Gordon Research Conference on PHOTOSYNTHESIS was held at Davidson College, Davidson, North Carolina, July 8-13, 2012. The Conference was well-attended with 150 participants (attendees list attached). The attendees represented the spectrum of endeavor in this field coming from academia, industry, and government laboratories, both U.S. and foreign scientists, senior researchers, young investigators, and students. Of the 150 attendees, 65 voluntarily responded to a general inquiry regarding ethnicity which appears on our registration forms. Of the 65 respondents, 20% were Minorities$-$ 5% Hispanic, 15% Asian and 0% African American. Approximately 28% of the participants at the 2012 meeting were women. The Gordon Research Seminar on PHOTOSYNTHESIS held at Davidson College, Davidson, North Carolina, July 7-8, 2012.. The Conference was well-attended with 51 participants (attendees list attached). The attendees represented the spectrum of endeavor in this field coming from academia, industry, and government laboratories, both U.S. and foreign scientists, senior researchers, young investigators, and students. Of the 51 attendees, 22 voluntarily responded to a general inquiry regarding ethnicity which appears on our registration forms. Of the 22 respondents, 14% were Minorities $-$0% Hispanic, 14% Asian and 0% African American. Approximately 35% of the participants at the 2012 meeting were women. Focal points for talks and discussions will include: Artificial photosynthesis and solar energy conversion strategies; Engineering organisms for biofuels and hydrogen production; Electron transport, proton transport, and energy coupling; Photoprotection mechanisms; Photosynthetic reaction center structure and function, including rewiring reaction centers for artificial photosynthesis; Energy capture and light harvesting solutions, including quantum coherence; Structure of the oxygen evolving complex and the mechanism of oxygen production.
Horror’s Effect on Identity in Life of Pi and Arthur Gordon Pym
Alyx Steensma
2014-07-01
Full Text Available Both Life of Pi by Yann Martel and The Narative of Arthur Gordon Pym of Nantucket by Edgar Allen Poe provide climatic moments of horror that lead to a change of motivation. Specifically, I will be taking a look at one important scene from each novel: the arrival and departure of the ‘death ship’ when Arthur Gordon Pym is stranded on a slightly sunk ship and the materialization of the mystical green island that Pi comes across. With the entrance of horror, both scenes portray a change in the narrator, a renewal then subsequent loss of hope, a moment of self-assessment that changes the young boys’ lives. I will be evaluating the effect of horror through the lens of Julia Kristeva’s “The Powers of Horror: an Essay on Abjection”. According to Kristeva, the abject refers to the human reaction (which is horror to a threatened breakdown in meaning caused by the loss of the distinction between subject and object or between self and other. The primary example for what causes such a reaction is the corpse (which traumatically reminds us of our own materiality which is the object of horror that changes the identities of Pi and Pym. The questions I will pursue are: Why does horror change the identities or conscious motivations of these boys? Are their reactions universal or individualized? What previous notions do they project on the horror they face? Keywords: Abjection, Identity, Universality, Isolation, Survival.
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0153498 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1301 in the North Pacific Ocean on 2013-06-17....
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0135463 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1318 in the North Pacific Ocean on 2013-12-13....
Vitória, R.L.L.; Furtado, C., E-mail: furtado@fisica.ufpb.br; Bakke, K., E-mail: kbakke@fisica.ufpb.br
2016-07-15
The relativistic quantum dynamics of an electrically charged particle subject to the Klein–Gordon oscillator and the Coulomb potential is investigated. By searching for relativistic bound states, a particular quantum effect can be observed: a dependence of the angular frequency of the Klein–Gordon oscillator on the quantum numbers of the system. The meaning of this behaviour of the angular frequency is that only some specific values of the angular frequency of the Klein–Gordon oscillator are permitted in order to obtain bound state solutions. As an example, we obtain both the angular frequency and the energy level associated with the ground state of the relativistic system. Further, we analyse the behaviour of a relativistic position-dependent mass particle subject to the Klein–Gordon oscillator and the Coulomb potential.
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0153500 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1408 in the North Pacific Ocean on 2014-11-02....
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0134542 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1212 in the North Pacific Ocean on 2012-07-15....
Vitória, R. L. L.; Furtado, C.; Bakke, K.
2016-07-01
The relativistic quantum dynamics of an electrically charged particle subject to the Klein-Gordon oscillator and the Coulomb potential is investigated. By searching for relativistic bound states, a particular quantum effect can be observed: a dependence of the angular frequency of the Klein-Gordon oscillator on the quantum numbers of the system. The meaning of this behaviour of the angular frequency is that only some specific values of the angular frequency of the Klein-Gordon oscillator are permitted in order to obtain bound state solutions. As an example, we obtain both the angular frequency and the energy level associated with the ground state of the relativistic system. Further, we analyse the behaviour of a relativistic position-dependent mass particle subject to the Klein-Gordon oscillator and the Coulomb potential.
Patrice Loïez
2001-01-01
L. to. r.: Dr. Ian Wilson, CLIC Deputy Study Leader, Prof. Ken J. Peach, Head of the Particle Physics Department, Prof. John Wood, Chief Executive Designate, Dr. Gordon Walker, Directorate, Chief Executive
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0150567 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1524 in the North Pacific Ocean on 2015-10-18....
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0150566 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1523 in the North Pacific Ocean on 2015-10-17....
Goes, Eunice
2014-01-01
"How Labour Governments Fall: From Ramsay MacDonald to Gordon Brown." Timothy Heppell and Kevin Theakston. Palgrave Macmillan. August 2013. --- The previous Labour Government lost office after the party’s longest stint in Government, eventually losing power under Gordon Brown against a backdrop of intellectual fatigue and economic crisis. Eunice Goes reviews Timothy Heppell and Kevin Theakston’s impressive new book on the fall of Labour Governments, and finds recurring themes echoing down th...
Devendra Kumar
2014-06-01
Full Text Available In this paper, we present a reliable algorithm based on the homotopy analysis transform method (HATM to solve the linear and nonlinear Klein–Gordon equations. The Klein–Gordon equation is the equation of motion of a quantum scalar or pseudoscalar field, a field whose quanta are spinless particles. It describes the quantum amplitude for finding a point particle in various places, the relativistic wave function, but the particle propagates both forwards and backwards in time. The HATM is a combined form of the Laplace transform method and homotopy analysis method. The method provides the solution in the form of a rapidly convergent series. Some numerical examples are used to illustrate the preciseness and effectiveness of the proposed method. The results show that the HATM is very efficient, simple and can be applied to other nonlinear problems.
Uwe Kortshagen
2011-06-14
The 2010 Gordon Research Conference on Plasma Processing Science will feature a comprehensive program that will highlight the most cutting edge scientific advances in low temperature plasma science and will explore the applications of low temperature plasma technology relative to many grand societal challenges. Fundamental science sessions will focus on plasma kinetics, plasma surface interactions, and recent trends in plasma generation and multi-phase plasmas. Application sessions will explore the impact of plasma technology in renewable energy and the production of fuels from renewable feedstocks, plasma-enabled medicine and sterilization, and environmental remediation and waste treatment. The conference will bring together in an informal atmosphere leaders in the field with junior investigators and graduate students. The special format of the Gordon Conferences, with programmed discussion sessions and ample time for informal gatherings in the afternoons and evenings, will provide for a fertile atmosphere of brainstorming and creative thinking among the attendees.
H. S. Shukla
2015-01-01
Full Text Available In this paper, a modified cubic B-spline differential quadrature method (MCB-DQM is employed for the numerical simulation of two-space dimensional nonlinear sine-Gordon equation with appropriate initial and boundary conditions. The modified cubic B-spline works as a basis function in the differential quadrature method to compute the weighting coefficients. Accordingly, two dimensional sine-Gordon equation is transformed into a system of second order ordinary differential equations (ODEs. The resultant system of ODEs is solved by employing an optimal five stage and fourth-order strong stability preserving Runge–Kutta scheme (SSP-RK54. Numerical simulation is discussed for both damped and undamped cases. Computational results are found to be in good agreement with the exact solution and other numerical results available in the literature.
Suárez, Abril
2015-01-01
Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit. We consider a complex self-interacting scalar field with a $\\lambda|\\varphi|^4$ potential. We study the evolution of the homogeneous background in the fluid representation and derive the linearized equations describing the evolution of small perturbations in a static and in an expanding universe. We compare the results with simplified models in which the gravitational potential is introduced by hand in the Klein-Gordon equation, and assumed to satisfy a (generalized) Poisson equation. We study the evolution of the perturbations in the matter era using the nonrelativistic limit of our formalism. Perturbations whose wavelength is below the Jeans length oscillate in time while pertubations whose wavelength is above the Jeans length grow linearly with the scale factor as in the cold dark matter model. The growth of perturbations in the scalar field model ...
Hack, Thomas-Paul
2014-01-01
We quantize the linearised Einstein-Klein-Gordon system on arbitrary on-shell backgrounds in a manifestly covariant and gauge-invariant manner. For the special case of perturbations in Inflation, i.e. on-shell backgrounds of Friedmann-Lema\\^itre-Robertson-Walker type, we compare our general quantization construction with the standard approach to the quantum theory of perturbations in Inflation. We find that not all local quantum observables of the linearised Einstein-Klein-Gordon system can be split into local observables of scalar and tensor type as in the standard approach. However, we argue that this subclass of observables is sufficient for measuring perturbations which vanish at spatial infinity, which is in line with standard assumptions. Finally, we comment on a recent observation that, upon standard quantization, the quantum Bardeen potentials display a non-local behaviour and argue that a similar phenomenon occurs in any local quantum field theory.
S. Ameri; K. Aminian; K.L. Avary; H.I. Bilgesu; M.E. Hohn; R.R. McDowell; D.L. Matchen
2001-07-01
The Jacksonburg-Stringtown oil field contained an estimated 88,500,000 barrels of oil in place, of which approximately 20,000,000 barrels were produced during primary recovery operations. A gas injection project, initiated in 1934, and a pilot waterflood, begun in 1981, yielded additional production from limited portions of the field. The pilot was successful enough to warrant development of a full-scale waterflood in 1990, involving approximately 8,900 acres in three units, with a target of 1,500 barrels of oil per acre recovery. Historical patterns of drilling and development within the field suggests that the Gordon reservoir is heterogeneous, and that detailed reservoir characterization is necessary for understanding well performance and addressing problems observed by the operators. The purpose of this work is to establish relationships among permeability, geophysical and other data by integrating geologic, geophysical and engineering data into an interdisciplinary quantification of reservoir heterogeneity as it relates to production. Conventional stratigraphic correlation and core description shows that the Gordon sandstone is composed of three parasequences, formed along the Late Devonian shoreline of the Appalachian Basin. The parasequences comprise five lithofacies, of which one includes reservoir sandstones. Pay sandstones were found to have permeabilities in core ranging from 10 to 200 mD, whereas non-pay sandstones have permeabilities ranging from below the level of instrumental detection to 5 mD; Conglomeratic zones could take on the permeability characteristics of enclosing materials, or could exhibit extremely low values in pay sandstone and high values in non-pay or low permeability pay sandstone. Four electrofacies based on a linear combination of density and scaled gamma ray best matched correlations made independently based on visual comparison of geophysical logs. Electrofacies 4 with relatively high permeability (mean value > 45 mD) was
1999-01-01
98年中,刚从澳洲高中毕业回港的张柏芝的经理人朱永龙的安排下,接拍了《阳光柠檬荼》的广告,当这3个不同版本的广告片播出后,各大小杂志、电影公司及广告公司均纷纷联络其经理人朱永龙。其中周星驰的99年贺岁片《喜剧之王》铁定张柏芝为女主角。此片最后更成为同期贺岁片中的总冠军,票房成绩达三千万。而紧接着,张柏芝接拍了由嘉禾电影公司出品,马楚成执导的爱情文艺新片《星愿》并担演女主角,与任贤齐及苏永康合力演出,此片预计在暑假黄
Sachin Kumar
2012-10-01
Full Text Available Exact travelling wave solutions have been established for generalised sinh-Gordon andgeneralised (2+1 dimensional ZK-BBM equations by using GG expansion method whereG G( satisfies a second-order linear ordinary differential equation. The travelling wave solutionsare expressed by hyperbolic, trigonometric and rational functions.
1988-07-01
Clasification ) 1988 Gordon Research Conference on Computational Chemistry 12. PERSONAL AUTHOR(S) nnn1ld ,R Rnjd gnd po=-v Tye’ 1man 13a. TYPE OF REPORT...of proteins and lipids, charge polarizability, protein folding, free energy perturbation calculations, conformational analysis of drug-sized...applicability. A broad range of topics were covered in some depth: macromolecular simulations (molecular dynamics) of proteins and lipids, charge
ALTUG˘ ARDA; CEVDET TEZCAN; RAMAZAN SEVER
2017-02-01
We study some thermodynamic quantities for the Klein–Gordon equation with a linear plus inverselinear, scalar potential. We obtain the energy eigenvalues with the help of the quantization rule from the biconfluent Heun’s equation.We use a method based on the Euler–MacLaurin formula to analytically compute thethermal functions by considering only the contribution of positive part of the spectrum to the partition function.
Sayegh, Pascal-Yan
2008-01-01
International audience; The paper offers a study of the contributions of Nicolas Sarkozy and Gordon Brown to a dominant culturalist discourse on identity in Europe. In recent years, issues about immigration and integration have been central across the European community, concurrent with a general feeling of cultural insecurity. In this paper, I argue that mainstream political discourse has shifted from common sense nationalism into an even more ambiguous discourse by also taking over aspects ...
Ikot, A. N.; Obong, H. P.; Abbey, T. M.; Zare, S.; Ghafourian, M.; Hassanabadi, H.
2016-09-01
In this article we use supersymmetry quantum mechanics and factorization methods to study the bound and scattering state of Klein-Gordon equation with deformed Hulthen plus deformed hyperbolical potential for arbitrary state in D-dimensions. The analytic relativistic bound state eigenvalues and the scattering phase factor are found in closed form. We report on the numerical results for the bound state energy in D-dimensions.
He Hong-Sheng; Chen Jiang; Yang Kong-Qing
2005-01-01
The extended F-expansion method or mapping method is used to construct exact solutions for the coupled Klein-Gordon Schr(o)dinger equations (K-G-S equations) by the aid of the symbolic computation system Mathematica. More solutions in the Jacobi elliptic function form are obtained, including the single Jacobi elliptic function solutions, combined Jacobi elliptic function solutions, rational solutions, triangular solutions, soliton solutions and combined soliton solutions.
Low regularity and local well-posedness for the 1+3 dimensional Dirac-Klein-Gordon system
Achenef Tesfahun
2007-11-01
Full Text Available We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1+3 dimensions is locally well-posed in a range of Sobolev spaces for the Dirac spinor and the meson field. The result contains and extends the earlier known results for the same problem. Our proof relies on the null structure in the system, and bilinear spacetime estimates of Klainerman-Machedon type.
Dao Yuan FANG; Ru Ying XUE
2006-01-01
In this paper, we consider a system of two cubic quasi-linear Klein-Gordon equations with different masses for small, smooth, compactly supported Cauchy data in one space dimension. We show that such a system has global existence when the nonlinearities satisfy a convenient null condition. Our results extend the global existence proved by Sunagawa recently under the non-resonance assumption to that under the resonance assumption.
N. Ikot, A.; Hassanabadi, H.; P. Obong, H.; E. Chad Umoren, Y.; N. Isonguyo, C.; H. Yazarloo, B.
2014-12-01
In this paper, we present solutions of the Klein-Gordon equation for the improved Manning—Rosen potential for arbitrary l state in d-dimensions using the supersymmetric shape invariance method. We obtained the energy levels and the corresponding wave functions expressed in terms of Jacobi polynomial in a closed form for arbitrary l state. We also calculate the oscillator strength for the potential.
Bound states of Klein-Gordon equation for double ring-shaped oscillator scalar and vector potentials
Lu Fa-Lin; Chen Chang-Yuan; Sun Dong-Sheng
2005-01-01
In Spherical polar coordinates, double ring-shaped oscillator potentials have supersymmetry and shape invariance for θ and τ coordinates. Exact bound state solutions of Klein-gordon equation with equal double ring-shaped oscillator scalar and vector potentials are obtained. The normalized angular wavefunction expressed in terms of Jacobi polynomials and the normalized radial wavefunction expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.
Liu Yang; Tang Yi
2008-01-01
By means of the Glauber's coherent state method combined with multiple-scale method,this paper investigates the localized modes in a quantum one-dimensional Klein-Gordon chain and finds that the equation of motion of annihilation operator is reduced to the nonlinear Schr(o)dinger equation.Interestingly,the model can support both bright and dark small amplitude travelling and non-travelling nonlinear localized modes in different parameter spaces.
Canepari, Claudio; Gordon, Robert D.; Hanley, Guy A.
2016-01-01
Cyrea Gordon and Canepari (121 species) and Tiphysa Mulsant (2 species) are discussed, species are described, illustrations are provided, and a key to all recognized species is included. New synonyms recognized are: Hyperaspis arrowi var. darwini Brèthes = Cyrea arrowi (Brèthes); Hyperaspis trivittata Weise, Hyperaspis mundula Weise = Cyrea emiliae (Mulsant); Cleothera scapulata Mulsant, Cleothera mercabilis Mulsant, Hyperaspis iheringi Weise = Cyrea flavoguttata (Mulsant); Cleothera graci...
Exact Solutions of Klein-Gordon Equation with Scalar and Vector Rosen-Morse-Type Poten-tials
A. Soylu; O. Bayrak; I. Boztosun
2008-01-01
@@ We obtain an exact analytical solution of the Klein-Gordon equation for the equal vector and scalar Rosen-Morse and Eckart potentials as well as the parity-time (PT) symmetric version of the these potentials by using the asymptotic iteration method. Although these PT symmetric potentials are non-Hermitian, the corresponding eigenvalues are real as a result of the PT symmetry.
Quasi-integrability in deformed sine-Gordon models and infinite towers of conserved charges
Blas, Harold
2016-01-01
We have studied the space-time symmetries of some soliton solutions of deformed sine-Gordon models in the context of the quasi-integrability concept. Considering a dual pair of anomalous Lax representations of the deformed model we compute analytically and numerically an infinite number of alternating conserved and asymptotically conserved charges through a modification of the usual techniques of integrable field theories. The charges associated to two-solitons with a definite parity under space-reflection symmetry, i.e. kink-kink (odd parity) and kink-antikink (even parity) scatterings with equal and opposite velocities, split into two infinite towers of conserved and asymptotically conserved charges. For two-solitons without definite parity under space-reflection symmetry (kink-kink and kink-antikink scatterings with unequal and opposite velocities) our numerical results show the existence of the asymptotically conserved charges only. However, we show that in the center-of-mass reference frame of the two so...
Drake, Harold
2001-07-26
The Gordon Research Conference on Applied and Environmental Microbiology was held at Connecticut College, New London, Connecticut, July 22-27, 2001. The conference was attended by 121 participants. The attendees represented the spectrum of endeavor in this field, coming from academia, industry, and government laboratories, and included US and foreign scientists, senior researchers, young investigators, and students. Emphasis was placed on current unpublished research and discussion of the future target areas in this field. There was a conscious effort to stimulate discussion about the key issues in the field today. Session topics included the following: Environmental and applied genomics, Cell-to-cell signaling and multicellular behavior, Emerging technologies and methods, Novel metabolisms and ecosystems, Directed evolution of enzymes and pathways, Symbiotic and trophic relationships, Synthesis and application of novel biopolymers, and Microbes at the oxic-anoxic interface. There was also a special lecture titled ''Under the umbrella of the big tree: microbial biology into the 21st century.''
2010 CORRELATED ELECTRON SYSTEMS GORDON RESEARCH CONFERENCE, JUNE 13-18, 2010 For
Dmitri Basov
2010-06-18
The 2010 Gordon Conference on Correlated Electron Systems will present cutting-edge research on emergent properties arising from strong electronic correlations. The Conference will feature a wide range of topics, such as the role of topology in condensed matter systems, quantum Hall interferometry and non-Abelian statistics, quantum criticality, metal-insulator transition, quantum effects in conductivity, Dirac quasiparticles, and superconductivity in cuprates and pnictides. In addition, we are reserving two sessions for new developments in this field that may arise in the coming year. The Conference will bring together a collection of investigators who are at the forefront of their field, and will provide opportunities for junior scientists and graduate students to present their work in poster format and exchange ideas with leaders in the field. We intend to have talks by established leaders in the field and also by young researchers who have made seminal contributions to various aspects of correlated electron physics, The collegial atmosphere of this Conference, with programmed discussion sessions as well as opportunities for informal gatherings in the afternoons and evenings, provides an avenue for scientists from different disciplines to brainstorm and promotes cross-disciplinary collaborations in the various research areas represented.
2012 Gordon Research Conference, Mitochondria and Chloroplasts, July 29 - Aug 3 2012
Barkan, Alice [Univ. of Oregon, Eugene, OR (United States)
2012-08-03
The 2012 Gordon Research Conference on Mitochondria and Chloroplasts will assemble an international group of scientists investigating fundamental properties of these organelles, and their integration into broader physiological processes. The conference will emphasize the many commonalities between mitochondria and chloroplasts: their evolution from bacterial endosymbionts, their genomes and gene expression systems, their energy transducing membranes whose proteins derive from both nuclear and organellar genes, the challenge of maintaining organelle integrity in the presence of the reactive oxygen species that are generated during energy transduction, their incorporation into organismal signaling pathways, and more. The conference will bring together investigators working in animal, plant, fungal and protozoan systems who specialize in cell biology, genetics, biochemistry, physiology, proteomics, genomics, and structural biology. As such, this conference will provide a unique forum that engenders cross-disciplinary discussions concerning the biogenesis, dynamics, and regulation of these key cellular structures. By fostering interactions among mammalian, fungal and plant organellar biologists, this conference also provides a conduit for the transmission of mechanistic insights obtained in model organisms to applications in medicine and agriculture. The 2012 conference will highlight areas that are moving rapidly and emerging themes. These include new insights into the ultrastructure and organization of the energy transducing membranes, the coupling of organellar gene expression with the assembly of photosynthetic and respiratory complexes, the regulatory networks that couple organelle biogenesis with developmental and physiological signals, the signaling events through which organellar physiology influences nuclear gene expression, and the roles of organelles in disease and development.
An approach to the Klein-Gordon equation for a dynamic study in ferroelectric materials
Bandyopadhyay, A K [Government College of Engineering and Ceramic Technology, W B University of Technology, 73, A C Banerjee Lane, Kolkata-700010 (India); Ray, P C [Department of Mathematics, Government College of Engineering and Leather Technology, WBUT, LB Block, Sector III, Salt Lake, Kolkata-700098 (India); Gopalan, Venkatraman [Materials Research Institute and Department of Materials Science and Engineering, Pennsylvania State University, University Park, PA 16802 (United States)
2006-04-26
Ferroelectric materials such as lithium niobate and lithium tantalate show a non-linear hysteresis behaviour, which may be explained by dynamical system analysis. The behaviour of these ferroelectrics is usually explained by domains and domain wall movements. So, the spatial variation of the domain wall was studied previously in order to see its effect on the domain wall width in the context of the Landau-Ginzburg functional. In the present work, both temporal and spatial variations of polarization are considered, and by using the Euler-Lagrange dynamical equation of motion, a Klein-Gordon equation is derived by taking the ferroelectrics as a Hamiltonian system. An interaction has been considered between the nearest neighbour domains, which are stacked sideways in a parallel array with uniform polarization. This interaction term is associated with the spatial term and when this interaction is assumed to be zero, the spatial term vanishes, giving rise to a Duffing oscillator differential equation, which can be also studied by a dynamic system analysis.
Sine-Gordon modulation solutions: Application to macroscopic non-lubricant friction
Gershenzon, Naum I.; Bambakidis, Gust; Skinner, Thomas E.
2016-10-01
The Frenkel-Kontorova (FK) model and its continuum approximation, the sine-Gordon (SG) equation, are widely used to model a variety of important nonlinear physical systems. Many practical applications require the wave-train solution, which includes many solitons. In such cases, an important and relevant extension of these models applies Whitham's averaging procedure to the SG equation. The resulting SG modulation equations describe the behavior of important measurable system parameters that are the average of the small-scale solutions given by the SG equation. A fundamental problem of modern physics that is the topic of this paper is the description of the transitional process from a static to a dynamic frictional regime. We have shown that the SG modulation equations are a suitable apparatus for describing this transition. The model provides relations between kinematic (rupture and slip velocities) and dynamic (shear and normal stresses) parameters of the transition process. A particular advantage of the model is its ability to describe frictional processes over a wide range of rupture and slip velocities covering seismic events ranging from regular earthquakes, with rupture velocities on the order of a few km/s, to slow slip events, with rupture velocities on the order of a few km/day.
Failed venture: Gordon Murray and the W. P. Caven Memorial Research Foundation, 1949-74.
McKellar, S
2001-01-01
This paper examines the founding and operation of the W. P. Caven Memorial Research Foundation, a private Toronto laboratory, which existed from 1949 to 1974. The Caven Foundation's Research Director was celebrated Toronto surgeon Gordon Murray (1894-1976), who, in 1949, accepted this position amidst personal and public expectations of great medical discoveries and innovations to come. For 25 years Murray carried on his research at the Caven Foundation, generating more controversy and disappointment than medical cures, before the laboratory was closed for financial reasons. What might have been a successful alternative to the University-based medical research structure in Canada resulted in a failed venture. The Foundation did not become a viable research centre largely because of its Research Director and his inability to adapt to the many changes occurring in the conduct and funding of clinical research. The history of the Caven Foundation is explored here within the context of increasingly specialized research techniques and methodology, the rising predominance of the interdisciplinary research team, and the new system of grantsmanship.
Harvey Cushing, Gordon Holmes, and the neurological lessons of World War I.
Lepore, F E
1994-07-01
As the gunshots that fatally wounded Archduke Franz Ferdinand and Countess Sophie of Austria resounded from Sarajevo across Europe to become the deafening roar of artillery on the Western Front in August 1914, Harvey Williams Cushing was the world's preeminent neurosurgeon and Gordon Morgan Holmes was arguably the foremost neurologist in the world. The 45-year-old Cushing, and Holmes just 38 years old, would strive to respond to the neurological challenges of World War I. They distinguished themselves amidst the redoubtable efforts of workers such as Walter Cannon, George Riddoch, Charles Sherrington, Henry Head, Victor Horsley, Walther Poppelreuter, and Robert Barany. Even the intense martial spirit of the time would be held in abeyance by the contributions of such men of science, as when the intercession of Prince Carl of Sweden secured the release of Barany from a Russian prisoner-of-war camp and allowed him to accept the 1916 Nobel Prize for his exposition of vestibular physiology. Such respite from the brutality of war was all too brief, and if we are to grasp the significance of the different approaches of Holmes and Cushing to the terrible problems of World War I, we must examine some of the harsh medical realities that they confronted in the "war to end all wars."
Hydromagnetic Waves in a Compressed Dipole Field via Field-Aligned Klein-Gordon Equations
Zheng, Jinlei; McKenzie, J F; Webb, G M
2014-01-01
Hydromagnetic waves, especially those of frequencies in the range of a few milli-Hz to a few Hz observed in the Earth's magnetosphere, are categorized as Ultra Low Frequency (ULF) waves or pulsations. They have been extensively studied due to their importance in the interaction with radiation belt particles and in probing the structures of the magnetosphere. We developed an approach in examining the toroidal standing Aflv\\'{e}n waves in a background magnetic field by recasting the wave equation into a Klein-Gordon (KG) form along individual field lines. The eigenvalue solutions to the system are characteristic of a propagation type when the corresponding eigen-frequency is greater than a cut-off frequency and an evanescent type otherwise. We apply the approach to a compressed dipole magnetic field model of the inner magnetosphere, and obtain the spatial profiles of relevant parameters and the spatial wave forms of harmonic oscillations. We further extend the approach to poloidal mode standing Alfv\\'{e}n waves...
Prof. Max Hoggblom
2012-02-09
The 2011 Gordon Research Conference on Radiation and Climate will present cutting-edge research on outstanding issues in climate change, particularly those in which the interactions between clouds, aerosols, and precipitation play a major role. The Conference will feature a broad range of topics, including grand challenges in atmospheric radiation and climate, cloud and water vapor feedbacks, aerosol-cloud-precipitation-climate interactions across scales, new approaches for remote sensing and in-situ observations of clouds, aerosols and precipitation, and multi-scale modeling challenges. The invited speakers will present the most important recent advances and future challenges in these areas. The Conference will bring together a collection of leading investigators who are at the forefront of their field, and will provide opportunities for scientists, especially junior scientists and graduate students, to present their work in poster format and exchange ideas with leaders in the field. The collegial atmosphere of this Conference, with programmed discussion sessions as well as opportunities for informal gatherings in the afternoons and evenings, provides an avenue for scientists from different disciplines to brainstorm and promotes cross-disciplinary collaborations in the various research areas represented.
Cylindric partitions, W_r characters and the Andrews-Gordon-Bressoud identities
Foda, O
2015-01-01
We study the Andrews-Gordon-Bressoud (AGB) generalisations of the Rogers-Ramanujan q-series identities in the context of cylindric partitions. We recall the definition of r-cylindric partitions, and provide a simple proof of Borodin's product expression for their generating functions, that can be regarded as a limiting case of an unpublished proof by Krattenthaler. We also recall the relationships between the r-cylindric partition generating functions, the principal characters of affine sl_r algebras, the M^{r, r+d}_r minimal model characters of W_r algebras, and the r-string abaci generating functions, as well as the relationships between them, providing simple proofs for each. We then set r=2, and use 2-cylindric partitions to re-derive the AGB identities as follows. Firstly, we use Borodin's product expression for the generating functions of the 2-cylindric partitions with infinitely-long parts, to obtain the product sides of the AGB identities, times a factor (q; q)_{\\infty}^{-1}, which is the generating ...
2012 Gordon Research Conference on Mutagenesis - Formal Schedule and Speaker/Poster Program
Demple, Bruce [Stony Brook Univ., NY (United States). School of Medicine
2012-08-24
The delicate balance among cellular pathways that control mutagenic changes in DNA will be the focus of the 2012 Mutagenesis Gordon Research Conference. Mutagenesis is essential for evolution, while genetic stability maintains cellular functions in all organisms from microbes to metazoans. Different systems handle DNA lesions at various times of the cell cycle and in different places within the nucleus, and inappropriate actions can lead to mutations. While mutation in humans is closely linked to disease, notably cancers, mutational systems can also be beneficial. The conference will highlight topics of beneficial mutagenesis, including full establishment of the immune system, cell survival mechanisms, and evolution and adaptation in microbial systems. Equal prominence will be given to detrimental mutation processes, especially those involved in driving cancer, neurological diseases, premature aging, and other threats to human health. Provisional session titles include Branching Pathways in Mutagenesis; Oxidative Stress and Endogenous DNA Damage; DNA Maintenance Pathways; Recombination, Good and Bad; Problematic DNA Structures; Localized Mutagenesis; Hypermutation in the Microbial World; and Mutation and Disease.
MONKEYS, MIRRORS, AND ME: GORDON GALLUP AND THE STUDY OF SELF-RECOGNITION.
Guenther, Katja
2017-01-01
This article explores the work of psychologist Gordon Gallup, Jr., during the 1960s and 1970s on mirror self-recognition in animals. It shows how Gallup tried to integrate the mental "self-concept" into an otherwise strictly behaviorist paradigm. By making an argument from material culture, the article demonstrates how Gallup's adoption of a self-concept is best understood as a product of his sustained analysis of the workings of the mirror as a piece of experimental apparatus. In certain situations, the stimulus properties of the mirror changed dramatically, a shift that Gallup thought legitimated the positing of a self-concept. For this reason, Gallup supposed he could use a mirror to provide an operationalized concept of the self, that is, produce a definition that was compatible with behaviorist experimental norms. The article argues that behaviorism was more supple and productive than is often assumed, and contained resources that could align it with the "cognitive revolution" to which it is most often opposed. © 2016 Wiley Periodicals, Inc.
2009 MICROBIAL POPULATION BIOLOGY GORDON RESEARCH CONFERENCES JULY 19-24,2009
ANTHONY DEAN
2009-07-24
The 2009 Gordon Conference on Microbial Population Biology will cover a diverse range of cutting edge issues in the microbial sciences and beyond. Firmly founded in evolutionary biology and with a strongly integrative approach, past Conferences have covered a range of topics from the dynamics and genetics of adaptation to the evolution of mutation rate, community ecology, evolutionary genomics, altruism, and epidemiology. The 2009 Conference is no exception, and will include sessions on the evolution of infectious diseases, social evolution, the evolution of symbioses, experimental evolution, adaptive landscapes, community dynamics, and the evolution of protein structure and function. While genomic approaches continue to make inroads, broadening our knowledge and encompassing new questions, the conference will also emphasize the use of experimental approaches to test hypotheses decisively. As in the past, this Conference provides young scientists and graduate students opportunities to present their work in poster format and exchange ideas with leading investigators from a broad spectrum of disciplines. This meeting is never dull: some of the most significant and contentious issues in biology have been thrashed out here. The 2009 meeting will be no exception.
Solitons and chaos of the Klein-Gordon-Zakharov system in a high-frequency plasma
Zhen, Hui-Ling; Tian, Bo; Sun, Ya; Chai, Jun; Wen, Xiao-Yong
2015-10-01
In this paper, we study the Klein-Gordon-Zakharov (KGZ) system, which describes the interaction between the Langmuir wave and ion sound wave in a high-frequency plasma. By means of the Hirota method and symbolic computation, bright and mixed-type soliton solutions are obtained. For the one soliton, amplitude of E is positively related to β 2 , and that of n is inversely related to β 2 , while they are both positively related to α, where E refers to the high-frequency part of the electrostatic potential of the electric field raised by the electrons, and n represents the deviation of ion density from its equilibrium, β 2 and α are the plasma frequency and ion sound speed, respectively. Head-on interactions between the two bright solitons and two mixed-type ones are respectively displayed. With β 2 increasing, the head-on interaction is transformed into an overtaking one. Bright bound-state solitons are investigated, and the interaction period decreases with α increasing. Furthermore, with the external forces Γ 1 ( t ) and Γ 2 ( t ) introduced, the perturbed KGZ system is studied numerically for its associated chaotic motions. Both the weak and developed chaotic motions can be observed. Γ 1 ( t ) and Γ 2 ( t ) have different effects on the chaotic motions: the chaotic motion can be weakened by decreasing the amplitude of Γ 1 ( t ) or increasing the amplitude and frequency of Γ 2 ( t ) .
2010 Gordon Research Conference on Correlated Electron Systems: Final Progress Report
Basov, Dmitri N. [Univ. of California, San Diego, CA (United States)
2010-06-18
The 2010 Gordon Conference on Correlated Electron Systems will present cutting-edge research on emergent properties arising from strong electronic correlations. The Conference will feature a wide range of topics, such as the role of topology in condensed matter systems, quantum Hall interferometry and non-Abelian statistics, quantum criticality, metal-insulator transition, quantum effects in conductivity, Dirac quasiparticles, and superconductivity in cuprates and pnictides. In addition, we are reserving two sessions for new developments in this field that may arise in the coming year. The Conference will bring together a collection of investigators who are at the forefront of their field, and will provide opportunities for junior scientists and graduate students to present their work in poster format and exchange ideas with leaders in the field. We intend to have talks by established leaders in the field and also by young researchers who have made seminal contributions to various aspects of correlated electron physics, The collegial atmosphere of this Conference, with programmed discussion sessions as well as opportunities for informal gatherings in the afternoons and evenings, provides an avenue for scientists from different disciplines to brainstorm and promotes cross-disciplinary collaborations in the various research areas represented.
Heun equation in a 5D sine-Gordon brane-world model with dilaton
Cunha, M.S.; Christiansen, H. [Universidade Estadual do Ceara (GFT/UECE), CE (Brazil). Grupo de Fisica Teorica
2011-07-01
Full text: In a brane-world scenario we find the propagation modes of the gauge field in a five-dimensional space-time. We adopt warping factors of the Randall-Sundrum type which are appropriate to regularize the hierarchy problem without imposing finite compactified extra dimensions. The existence and localization of gauge particles in the ordinary four-dimensional world is studied in detail on a thick brane derived out from the equations of motion of an action with a sine-Gordon potential contribution. Maxwell zero modes together with torsion effective fields are then obtained in a gravity-dilaton background inspired in close string theories. The dilaton plays a crucial role in order that the gauge field gets localized in a conformally invariant context. Kaluza-Klein massive states are also computed and, depending on certain parameters like dilaton coupling constant and asymptotic curvature, we are able to do it fully analytically. In a general approach we find that the solutions are of the Heun type. In some specific cases we can show that the Heun general solutions can be transformed into hypergeometric functions. In others, confluent Heun solutions can be transformed into simpler functions like Mathieu functions. Exact mass spectra are found in several cases. In others, we performed numerical calculations that show a well behaved phenomenology as well. In all the cases, Kaluza-Klein modes are strongly suppressed on the brane in the effective four-dimensional theory. (author)
Details in Semiconductors Gordon Conference, New London, NH, August 3-8, 2008
Shengbai Zhang and Nancy Ryan Gray
2009-09-16
Continuing its tradition of excellence, this Gordon Conference will focus on research at the forefront of the field of defects in homogeneous and structured semiconductors. The conference will have a strong emphasis on the control of defects during growth and processing, with an increases emphasis on nanostructures as compared to previous conferences. Electronic, magnetic, and optical properties of bulk, thin film, and nanoscale semiconductors will be discussed in detail. In contrast to many conferences, which tend to focus on specific semiconductors, this conference deals with defects in a broad range of bulk and nanoscale electronic materials. This approach has proved to be extremely fruitful for advancing fundamental understanding in emerging materials such as wide-band-gap semiconductors, doped nanoparticles, and organic semiconductors. Presentations of state-of-the-art theoretical methods will contribute to a fundamental understanding of atomic-scale phenomena. The program consists of about twenty invited talks, with plenty of discussion time, and a number of contributed poster sessions. Because of the large amount of discussion time, the conference provides an ideal forum for dealing with topics that are new and/or controversial.
Gordon Research Conference on Radiation & Climate in 2009, July 5 -10
Quiang Fu
2009-07-10
The 2009 Gordon Research Conference on Radiation and Climate will present cutting-edge research on the outstanding issues in global climate change with focus on the radiative forcing and sensitivity of the climate system and associated physical processes. The Conference will feature a wide range of topics, including grand challenges in radiation and climate, radiative forcing, climate feedbacks, cloud processes in climate system, hydrological cycle in changing climate, absorbing aerosols and Asian monsoon, recent climate changes, and geo-engineering. The invited speakers will present the recent most important advances and future challenges in these areas. The Conference will bring together a collection of leading investigators who are at the forefront of their field, and will provide opportunities for scientists especially junior scientists and graduate students to present their work in poster format and exchange ideas with leaders in the field. The collegial atmosphere of this Conference, with programmed discussion sessions as well as opportunities for informal gatherings in the afternoons and evenings, provides an avenue for scientists from different disciplines to brainstorm and promotes cross-disciplinary collaborations in the various research areas represented.
2010 MICROBIAL STRESS RESPONSE GORDON RESEARCH CONFERENCE, JULY 18-23, 2010
Sarah Ades
2011-07-23
The 2010 Gordon Research Conference on Microbial Stress Responses provides an open and exciting forum for the exchange of scientific discoveries on the remarkable mechanisms used by microbes to survive in nearly every niche on the planet. Understanding these stress responses is critical for our ability to control microbial survival, whether in the context of biotechnology, ecology, or pathogenesis. From its inception in 1994, this conference has traditionally employed a very broad definition of stress in microbial systems. Sessions will cover the major steps of stress responses from signal sensing to transcriptional regulation to the effectors that mediate responses. A wide range of stresses will be represented. Some examples include (but are not limited to) oxidative stress, protein quality control, antibiotic-induced stress and survival, envelope stress, DNA damage, and nutritional stress. The 2010 meeting will also focus on the role of stress responses in microbial communities, applied and environmental microbiology, and microbial development. This conference brings together researchers from both the biological and physical sciences investigating stress responses in medically- and environmentally relevant microbes, as well as model organisms, using cutting-edge techniques. Computational, systems-level, and biophysical approaches to exploring stress responsive circuits will be integrated throughout the sessions alongside the more traditional molecular, physiological, and genetic approaches. The broad range of excellent speakers and topics, together with the intimate and pleasant setting at Mount Holyoke College, provide a fertile ground for the exchange of new ideas and approaches.
2009 Plant Lipids: Structure, Metabolism & Function Gordon Research Conference - February 1- 6 ,2009
Kent D. Chapman
2009-02-06
The Gordon Research Conference on 'Plant Lipids: Structure, Metabolism and Function' has been instituted to accelerate research productivity in the field of plant lipids. This conference will facilitate wide dissemination of research breakthroughs, support recruitment of young scientists to the field of plant lipid metabolism and encourage broad participation of the plant lipid community in guiding future directions for research in plant lipids. This conference will build upon the strengths of the successful, previous biannual meetings of the National Plant Lipid Cooperative (www.plantlipids.org) that began in 1993, but will reflect a broader scope of topics to include the biochemistry, cell biology, metabolic regulation, and signaling functions of plant acyl lipids. Most importantly, this conference also will serve as a physical focal point for the interaction of the plant lipid research community. Applications to attend this conference will be open to all researchers interested in plant lipids and will provide a venue for the presentation of the latest research results, networking opportunities for young scientists, and a forum for the development and exchange of useful lipid resources and new ideas. By bringing together senior- and junior-level scientists involved in plant lipid metabolism, a broad range of insights will be shared and the community of plant lipid researchers will function more as a network of vested partners. This is important for the vitality of the research community and for the perceived value that will encourage conference attendance into the future.
2010 Electron Donor-Acceptor Interactions Gordon Research Conference, August 8 - 13, 2010.
Gerald Meyer
2010-08-18
The Gordon Research Conference on Electron Donor Acceptor Interactions (GRC EDAI) presents and advances the current frontiers in experimental and theoretical studies of Electron Transfer Processes and Energy Conversion. The fundamental concepts underpinning the field of electron transfer and charge transport phenomena are understood, but fascinating experimental discoveries and novel applications based on charge transfer processes are expanding the discipline. Simultaneously, global challenges for development of viable and economical alternative energy resources, on which many researchers in the field focus their efforts, are now the subject of daily news headlines. Enduring themes of this conference relate to photosynthesis, both natural and artificial, and solar energy conversion. More recent developments include molecular electronics, optical switches, and nanoscale charge transport structures of both natural (biological) and man-made origin. The GRC EDAI is one of the major international meetings advancing this field, and is one of the few scientific meetings where fundamental research in solar energy conversion has a leading voice. The program includes sessions on coupled electron transfers, molecular solar energy conversion, biological and biomimetic systems, spin effects, ultrafast reactions and technical frontiers as well as electron transport in single molecules and devices. In addition to disseminating the latest advances in the field of electron transfer processes, the conference is an excellent forum for scientists from different disciplines to meet and initiate new directions; for scientists from different countries to make contacts; for young scientists to network and establish personal contacts with other young scientists and with established scientists who, otherwise, might not have the time to meet young people. The EDAI GRC also features an interactive atmosphere with lively poster sessions, a few of which are selected for oral presentations.
SINGLE MOLECULE APPROACHES TO BIOLOGY, 2010 GORDON RESEARCH CONFERENCE, JUNE 27-JULY 2, 2010, ITALY
Professor William Moerner
2010-07-09
The 2010 Gordon Conference on Single-Molecule Approaches to Biology focuses on cutting-edge research in single-molecule science. Tremendous technical developments have made it possible to detect, identify, track, and manipulate single biomolecules in an ambient environment or even in a live cell. Single-molecule approaches have changed the way many biological problems are addressed, and new knowledge derived from these approaches continues to emerge. The ability of single-molecule approaches to avoid ensemble averaging and to capture transient intermediates and heterogeneous behavior renders them particularly powerful in elucidating mechanisms of biomolecular machines: what they do, how they work individually, how they work together, and finally, how they work inside live cells. The burgeoning use of single-molecule methods to elucidate biological problems is a highly multidisciplinary pursuit, involving both force- and fluorescence-based methods, the most up-to-date advances in microscopy, innovative biological and chemical approaches, and nanotechnology tools. This conference seeks to bring together top experts in molecular and cell biology with innovators in the measurement and manipulation of single molecules, and will provide opportunities for junior scientists and graduate students to present their work in poster format and to exchange ideas with leaders in the field. A number of excellent poster presenters will be selected for short oral talks. Topics as diverse as single-molecule sequencing, DNA/RNA/protein interactions, folding machines, cellular biophysics, synthetic biology and bioengineering, force spectroscopy, new method developments, superresolution imaging in cells, and novel probes for single-molecule imaging will be on the program. Additionally, the collegial atmosphere of this Conference, with programmed discussion sessions as well as opportunities for informal gatherings in the afternoons and evenings in the beauty of the Il Ciocco site in
Wood Density and Mechanical Properties of Pinus kesiya Royle ex Gordon in Malawi
Edward Missanjo
2016-07-01
Full Text Available Successful development of an appropriate tree breeding strategy and wood utilization requires information on wood properties. This study was therefore conducted to assess wood density and mechanical properties of Pinus kesiya Royle ex Gordon grown in Malawi. Wood samples from six families of P. kesiya at the age of 30 years were used for the study. The estimated mean wood density, Modulus of Elasticity (MoE, Modulus of Rupture (MoR and moisture content were 0.593 ± 0.001 g/cm3, 13.46 ± 0.07 GPa, 113.67 ± 0.57 MPa and 12.08% ± 0.03%, respectively. There were statistically significant (p < 0.001 differences in wood density and mechanical properties along the radial direction and stem height. Wood density and mechanical properties increased from pith to bark and decreased from the butt upwards. There were no significant (p > 0.05 differences in wood density and mechanical properties among the families. This is an indication that any tree among the families can be selected for tree improvement programs if density is considered as a variable. Wood density had a strong positive significant linear relationship with both MoE (r = 0.790; p < 0.001 and MoR (r = 0.793; p < 0.001. This suggests that it has the potential to simultaneously improve the wood density and mechanical properties of this species. Therefore, controlling wood density for the tree improvement program of P. kesiya in Malawi would have a positive impact on mechanical properties.
Modelo no lineal con potencial Seno-Gordon para un cristal fotónico unidimensional
Margarita Franco Ortíz
2013-06-01
Full Text Available Se presenta un modelo para un cristal fotónico unidimensional formado por una sucesión de planos constituidos por material no lineal, inmersos en un medio lineal. Se resuelve la ecuación de Schrödinger introduciendo en el hamiltoniano modelo del cristal un potencial no lineal tipo Seno-Gordon. Se obtiene analíticamente una versión generalizada, dependiente de la amplitud de la onda incidente, de la ecuación trascendente que caracteriza al modelo del cristal de Kronig-Penney, de donde se determina la estructura de las bandas de energía del cristal. El modelo puede aplicarse a una versión finita de un cristal fotónico para un número limitado de capas alternadas de material lineal y no lineal para el cual se han calculado la reflectancia como una función de la intensidad de la onda electromagnética, el índice de la banda y el número de períodos. Es posible construir un sistema con estas características alternando capas muy delgadas de material de materia blanda no lineal con capas sólidas más gruesas, con el cual puede diseñarse un dispositivo para controlar la propagación de luz para intervalos de longitudes de onda específicos e intensidades de la luz de la misma señal que se propaga.
Interaction of sine-Gordon kinks and breathers with a parity-time-symmetric defect
Saadatmand, Danial; Dmitriev, Sergey V.; Borisov, Denis I.; Kevrekidis, Panayotis G.
2014-11-01
The scattering of kinks and low-frequency breathers of the nonlinear sine-Gordon (SG) equation on a spatially localized parity-time-symmetric perturbation (defect) with a balanced gain and loss is investigated numerically. It is demonstrated that if a kink passes the defect, it always restores its initial momentum and energy, and the only effect of the interaction with the defect is a phase shift of the kink. A kink approaching the defect from the gain side always passes, while in the opposite case it must have sufficiently large initial momentum to pass through the defect instead of being trapped in the loss region. The kink phase shift and critical velocity are calculated by means of the collective variable method. Kink-kink (kink-antikink) collisions at the defect are also briefly considered, showing how their pairwise repulsive (respectively, attractive) interaction can modify the collisional outcome of a single kink within the pair with the defect. For the breather, the result of its interaction with the defect depends strongly on the breather parameters (velocity, frequency, and initial phase) and on the defect parameters. The breather can gain some energy from the defect and as a result potentially even split into a kink-antikink pair, or it can lose a part of its energy. Interestingly, the breather translational mode is very weakly affected by the dissipative perturbation, so that a breather penetrates more easily through the defect when it comes from the lossy side, than a kink. In all studied soliton-defect interactions, the energy loss to radiation of small-amplitude extended waves is negligible.
2008 Co2 Assimilation in Plants: Genome to Biome Gordon Research Conference - August 17-22
James V. Maroney
2009-08-12
Formerly entitled 'CO2 Fixation and Metabolism in Green Plants', this long-standing Gordon Research Conference has been held on a triennial basis since 1976. In 1990 the participants decided to alternate between sites in the U.S. and outside the U.S. The 2005 conference was held in Europe at the Centre Paul Langevin in Aussois, France, so the 2008 conference returns to a U.S. site - the University of New England in Biddeford, Maine. The 2008 conference covers basic plant research related to photosynthesis and the subsequent regulation and engineering of carbon assimilation. Approaches that range from post-genomic technologies and systems biology, through to fundamental biochemistry, physiology and molecular biology are integrated within ecological and agronomic contexts. As such, the meeting provides the rare opportunity of a single venue for discussing all aspects of the 'carbon-side' of photosynthesis - from genome to biome. The 2008 conference will include an emphasis on the central role of carbon assimilation by plants for developing new sources of bioenergy and for achieving a carbon-neutral planet. A special characteristic of this conference is its 'intimacy' with approximately 110 conferees, ranging from beginning graduate students and postdoctoral associates to leading senior plant scientists, engaged in open and forward-thinking discussions in an informal, friendly setting. With extended time devoted to discussion, and the encouragement to challenge dogma, it is unlike other meetings in the U.S. or abroad. Another novel feature of the conference is a session devoted to the latest 'hot off the press' findings by both established and early career scientists, picked from the abstracts. Together with an expanded poster discussion in the evening sessions, this session provides an opportunity for early career scientists to present interesting new data and to 'test drive' hypotheses in a collegial atmosphere.
周倩; 吕彬彬; 田强
2009-01-01
采用推广的旋转平面波近似对一维非线性Klein-Gordon/Fermi-Pasta-Ulam混合原子链的运动方程进行简化,数值求解得到该系统中存在的离散呼吸子解.研究了系统中各非线性参数对该振动模的直流、一阶简谐项和二阶简谐项三个分量的对称性的影响以及对系统中局域模的影响.
Guimaraes, Wladmir B.; Falls, W. Fred; Caldwell, Andral W.; Ratliff, W. Hagan; Wellborn, John B.; Landmeyer, James E.
2012-01-01
Soil gas was assessed for contaminants in the building 310 underground storage tank area adjacent to the Dwight D. Eisenhower Army Medical Center at Ft. Gordon, Georgia, from October 2010 to September 2011. The assessment, which also included the detection of organic compounds in soil gas, provides environmental contamination data to Fort Gordon personnel pursuant to requirements of the Resource Conservation and Recovery Act Part B Hazardous Waste Permit process. The study was conducted by the U.S. Geological Survey, in cooperation with the U.S. Department of the Army Environmental and Natural Resources Management Office of the U.S. Army Signal Center and Fort Gordon. Soil-gas samplers were deployed below land surface at 37 locations in the building 310 underground storage tank area. Soil-gas samplers were deployed in a grid pattern near the storage tank area as well as downslope of the tank area in the direction of groundwater flow toward an unnamed tributary to Butler Creek. Total petroleum hydrocarbons were detected in 35 of the 37 soil-gas samplers at levels above the method detection level, and the combined mass of benzene, toluene, ethylbenzene, and total xylenes were detected above their detection levels in 8 of the 37 samplers. In addition, the combined masses of undecane, tridecane, and pentadecane were detected at or above their method detection levels in 9 of the 37 samplers. Other volatile organic compounds detected above their respective method detection levels were chloroform, 1,2,4-trimethylbenzene, and perchloroethylene. In addition, naphthalene, 2-methyl naphthalene, and 1,2,4-trimethylbenzene were detected below the method detection levels, but above the nondetection level.
Ikot, A. N.; Lutfuoglu, B. C.; Ngwueke, M. I.; Udoh, M. E.; Zare, S.; Hassanabadi, H.
2016-12-01
In this paper we use the Nikiforov-Uvarov method to obtain the approximate solutions for the Klein-Gordon equation with the deformed five-parameter exponential-type potential (DFPEP) model. We also obtain solutions for the Schrödinger equation in the presence of DFPEP in non-relativistic limits. In addition, we calculate in the non-relativistic limits thermodynamics properties, such as vibrational mean energy U, free energy F and the specific heat capacity C. Special cases of the potential are also discussed.
Exact traveling wave solutions to the Klein-Gordon equation using the novel (G‧/G)-expansion method
Hafez, M. G.; Alam, Md. Nur; Akbar, M. Ali
The novel (G‧/G)-expansion method is one of the powerful methods that appeared in recent times for establishing exact traveling wave solutions of nonlinear partial differential equations. Exact traveling wave solutions in terms of hyperbolic, trigonometric and rational functions to the cubic nonlinear Klein-Gordon equation via this method are obtained in this article. The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It is shown that the novel (G‧/G)-expansion method is a simple and valuable mathematical tool for solving nonlinear evolution equations (NLEEs) in applied mathematics, mathematical physics and engineering.
Derivation of Klein-Gordon-Fock equation from General relativity in a time-space symmetrical model
Van Thuan, Vo
2016-01-01
Following a bi-cylindrical model of geometrical dynamics, in the present study we show that Einstein gravitational equation leads to bi-geodesic description in an extended symmetrical time-space which fit Hubble expansion in a "microscopic" cosmological model. As a duality, the geodesic solution is mathematically equivalent to the basic Klein-Gordon-Fock equations of free massive elementary particles, in particular, as the squared Dirac equations of leptons and as a sub-solution with pseudo-axion. This result would serve an explicit approach to consistency between quantum mechanics and general relativity.
Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G-expansion method
M.G. Hafez
2014-01-01
Full Text Available The novel (G′/G-expansion method is one of the powerful methods that appeared in recent times for establishing exact traveling wave solutions of nonlinear partial differential equations. Exact traveling wave solutions in terms of hyperbolic, trigonometric and rational functions to the cubic nonlinear Klein–Gordon equation via this method are obtained in this article. The efficiency of this method for finding exact solutions and traveling wave solutions has been demonstrated. It is shown that the novel (G′/G-expansion method is a simple and valuable mathematical tool for solving nonlinear evolution equations (NLEEs in applied mathematics, mathematical physics and engineering.
XU Quan; TIAN Qiang; LUO Jun
2009-01-01
@@ We study a two-dimensional lattice of anharmonic oscillators with only quartic nearest-neighbor interactions, in which discrete breathers can be explicitly constructed by an exact separation of their time and space dependence. DBs can stably exist in the two-dimensional Klein-Gordon lattice with hard on-site potential. When a parametric driving term is introduced in the factor multiplying the harmonic part of the on-site potential of the system, we can obtain the stable quasiperiodic discrete breathers and chaotic discrete breathers by changing the amplitude of the driver.
Sameer M.Ikhdair; Majid Hamzavi
2012-01-01
We study the effects of the perpendicular magnetic and Aharonov Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjected to an equal scalar and vector pseudo-harmonic oscillator (PHO).We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter,magnetic field strength,AB flux field,and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method.The non-relativistic limit,PHO,and harmonic oscillator solutions in the existence and absence of external fields are also obtained.
Xie, Xiang-Jun; Jia, Chun-Sheng
2015-03-01
We solve the Klein-Gordon equation with the Morse potential energy model to obtain the relativistic bound state energy equation in D spatial dimensions. We find that the inter-dimensional degeneracy symmetry exists for the molecular system represented by the Morse potential model. For a fixed vibrational quantum number and various rotational quantum numbers, the relativistic energies for the X1Σ+ state of the ScI molecule diverge as D increases. We observe that the behavior of the relativistic vibrational energies in higher dimensions remains similar to that of the three-dimensional system.
Tabacchi, G; Hutter, J; Mundy, C
2005-04-07
A combined linear response--frozen electron density model has been implemented in a molecular dynamics scheme derived from an extended Lagrangian formalism. This approach is based on a partition of the electronic charge distribution into a frozen region described by Kim-Gordon theory, and a response contribution determined by the instaneous ionic configuration of the system. The method is free from empirical pair-potentials and the parameterization protocol involves only calculations on properly chosen subsystems. They apply this method to a series of alkali halides in different physical phases and are able to reproduce experimental structural and thermodynamic properties with an accuracy comparable to Kohn-Sham density functional calculations.
Chang, Jane
2012-07-27
The 2012 Gordon Research Conference on Plasma Processing Science will feature a comprehensive program that will highlight the most cutting edge scientific advances in plasma science and technology as well as explore the applications of this nonequilibrium medium in possible approaches relative to many grand societal challenges. Fundamental science sessions will focus on plasma kinetics and chemistry, plasma surface interactions, and recent trends in plasma generation and multi-phase plasmas. Application sessions will explore the impact of plasma technology in renewable energy, the production of fuels from renewable feedstocks and carbon dioxide neutral solar fuels (from carbon dioxide and water), and plasma-enabled medicine and sterilization.
田野; 陈静; 张忠飞
2012-01-01
In this paper, the separation transformation approach is extended to the （N ＋ 1）-dimensional dispersive double sine-Gordon equation arising in many physical systems such as the spin dynamics in the B phase of SHe superfluid. This equation is first reduced to a set of partial differential equations and a nonlinear ordinary differential equation. Then the general solutions of the set of partial differential equations are obta/ned and the nonlinear ordinary differential equation is solved by F-expansion method. Finally, many new exact solutions of the （N ＋ 1）-dimensional dispersive double sine-Gordon equation are constructed explicitly via the separation transformation. For the case of N 〉 2, there is an arbitrary function in the exact solutions, which may reveal more novel nonlinear structures in the high-dimensional dispersive double sine-Gordon equation.
Boyd, Brian K.; Gorrissen, Willy J.; Hand, James R.; Horner, Jacob A.; Orrell, Alice C.; Russo, Bryan J.; Weimar, Mark R.; Williamson, Jennifer L.; Nesse, Ronald J.
2010-09-30
This document provides an overview of renewable resource potential at Fort Gordon, based primarily upon analysis of secondary data sources supplemented with limited on-site evaluations. This effort focuses on grid-connected generation of electricity from renewable energy sources and also on ground source heat pumps for heating and cooling buildings. The effort was funded by the American Recovery and Reinvestment Act (ARRA) as follow-on to the 2005 Department of Defense (DoD) Renewables Assessment. The site visit to Fort Gordon took place on March 9, 2010.
Landmeyer, James E.; Falls, W. Fred; Ratliff, W. Hagan; Wellborn, John B.
2011-01-01
Soil gas, seeps, and soil were assessed for contaminants at the North Range Road Landfill at Fort Gordon, Georgia, from October 2008 to September 2009. The assessment included delineating organic contaminants present in soil-gas samples beneath the area estimated to be the landfill and in water samples collected from three seeps at the base of the landfill. Inorganic contaminants were determined in three seep samples and in soil samples. This assessment was conducted to provide environmental contamination data to Fort Gordon pursuant to requirements for the Resource Conservation and Recovery Act Part B Hazardous Waste Permit process.
2009 Plant Cell Walls Gordon Research Conference-August 2-7,2009
Debra Mohnen
2009-08-07
Plant cell walls are a complex cellular compartment essential for plant growth, development and response to biotic and abiotic stress and a major biological resource for meeting our future bioenergy and natural product needs. The goal of the 2009 Plant Cell Walls Gordon Research Conference is to summarize and critically evaluate the current level of understanding of the structure, synthesis and function of the whole plant extracellular matrix, including the polysaccharides, proteins, lignin and waxes that comprise the wall, and the enzymes and regulatory proteins that drive wall synthesis and modification. Innovative techniques to study how both primary and secondary wall polymers are formed and modified throughout plant growth will be emphasized, including rapid advances taking place in the use of anti-wall antibodies and carbohydrate binding proteins, comparative and evolutionary wall genomics, and the use of mutants and natural variants to understand and identify wall structure-function relationships. Discussions of essential research advances needed to push the field forward toward a systems biology approach will be highlighted. The meeting will include a commemorative lecture in honor of the career and accomplishments of the late Emeritus Professor Bruce A. Stone, a pioneer in wall research who contributed over 40 years of outstanding studies on plant cell wall structure, function, synthesis and remodeling including emphasis on plant cell wall beta-glucans and arabinogalactans. The dwindling supply of fossil fuels will not suffice to meet our future energy and industrial product needs. Plant biomass is the renewable resource that will fill a large part of the void left by vanishing fossil fuels. It is therefore critical that basic research scientists interact closely with industrial researchers to critically evaluate the current state of knowledge regarding how plant biomass, which is largely plant cell walls, is synthesized and utilized by the plant. A final
Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature
Tiegel, Alexander C.; Honecker, Andreas; Pruschke, Thomas; Ponomaryov, Alexey; Zvyagin, Sergei A.; Feyerherm, Ralf; Manmana, Salvatore R.
2016-03-01
The material copper pyrimidine dinitrate (Cu-PM) is a quasi-one-dimensional spin system described by the spin-1/2 X X Z Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions. Based on numerical results obtained by the density-matrix renormalization group, exact diagonalization, and accompanying electron spin resonance (ESR) experiments we revisit the spin dynamics of this compound in an applied magnetic field. Our calculations for momentum and frequency-resolved dynamical quantities give direct access to the intensity of the elementary excitations at both zero and finite temperature. This allows us to study the system beyond the low-energy description by the quantum sine-Gordon model. We find a deviation from the Lorentz invariant dispersion for the single-soliton resonance. Furthermore, our calculations only confirm the presence of the strongest boundary bound state previously derived from a boundary sine-Gordon field theory, while composite boundary-bulk excitations have too low intensities to be observable. Upon increasing the temperature, we find a temperature-induced crossover of the soliton and the emergence of new features, such as interbreather transitions. The latter observation is confirmed by our ESR experiments on Cu-PM over a wide range of the applied field.
Perturbative treatment of the non-linear q-Schr\\"odinger and q-Klein-Gordon equations
Zamora, D J; Plastino, A; Ferri, G L
2016-01-01
Interesting nonlinear generalization of both Schr\\"odinger's and Klein-Gordon's equations have been recently advanced by Tsallis, Rego-Monteiro, and Tsallis (NRT) in [Phys. Rev. Lett. {\\bf 106}, 140601 (2011)]. There is much current activity going on in this area. The non-linearity is governed by a real parameter $q$. It is a fact that the ensuing non linear q-Schr\\"odinger and q-Klein-Gordon equations are natural manifestations of very high energy phenomena, as verified by LHC-experiments. This happens for $q-$values close to unity [Nucl. Phys. A {\\bf 955}, 16 (2016), Nucl. Phys. A {\\bf 948}, 19 (2016)]. It is also well known that q-exponential behavior is found in quite different settings. An explanation for such phenomenon was given in [Physica A {\\bf 388}, 601 (2009)] with reference to empirical scenarios in which data are collected via set-ups that effect a normalization plus data's pre-processing. Precisely, the ensuing normalized output was there shown to be q-exponentially distributed if the input dat...
LeFloch, Philippe G
2015-01-01
We extend the Hyperboloidal Foliation Method (which we recently introduced) and then apply it to the Einstein equations of general relativity. We are able to establish the nonlinear stability of Minkowski spacetime for self-gravitating massive scalar fields, while existing methods only apply to massless scalar fields. First of all, by analyzing the structure of the Einstein equations in wave coordinates, we exhibit a nonlinear wave-Klein-Gordon model defined on a curved background, which is the focus of the present paper. For this model, we prove here the existence of global-in-time solutions to the Cauchy problem, when the initial data have sufficiently small Sobolev norms. A major difficulty comes from the fact that the class of conformal Killing fields of Minkowski space is significantly reduced in presence of a massive scalar field, since the scaling vector field is not conformal Killing for the Klein-Gordon operator. Our method relies on the foliation (of the interior of the light cone) of Minkowski spac...
Mostafazadeh, A
2003-01-01
We construct a concrete realization of the generalized parity (P), time-reversal (T), and charge-conjugation (C) operators, that were initially defined in the study of the PT-symmetric and pseudo-Hermitian Hamiltonians, for Klein-Gordon fields. We show that PT and C operators, that signify certain symmetries of the system, correspond to the ordinary time-reversal and charge-conjugation transformations, respectively. Furthermore, we construct a positive-definite and relativistically invariant inner product on the space of Klein-Gordon fields and show that the generator h of time-translations viewed as acting in the Hilbert space ${cal H}$ defined by this inner product is Hermitian. The quantum system having ${cal H}$ as its Hilbert space and h as its Hamiltonian is unitarily equivalent to the one defined by a Hermitian Hamiltonian acting in the Hilbert space $L^2(R^3)oplus L^2(R^3)$. We give the explicit form of the corresponding unitary transformation and use it to construct position operators, localized and ...
Suárez, Abril; Chavanis, Pierre-Henri
2015-07-01
Using a generalization of the Madelung transformation, we derive the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field limit. We consider a complex self-interacting scalar field with a λ |φ |4 potential. We study the evolution of the spatially homogeneous background in the fluid representation and derive the linearized equations describing the evolution of small perturbations in a static and in an expanding Universe. We compare the results with simplified models in which the gravitational potential is introduced by hand in the Klein-Gordon equation, and assumed to satisfy a (generalized) Poisson equation. Nonrelativistic hydrodynamic equations based on the Schrödinger-Poisson equations or on the Gross-Pitaevskii-Poisson equations are recovered in the limit c →+∞. We study the evolution of the perturbations in the matter era using the nonrelativistic limit of our formalism. Perturbations whose wavelength is below the Jeans length oscillate in time while perturbations whose wavelength is above the Jeans length grow linearly with the scale factor as in the cold dark matter model. The growth of perturbations in the scalar field model is substantially faster than in the cold dark matter model. When the wavelength of the perturbations approaches the cosmological horizon (Hubble length), a relativistic treatment is mandatory. In that case, we find that relativistic effects attenuate or even prevent the growth of perturbations. This paper exposes the general formalism and provides illustrations in simple cases. Other applications of our formalism will be considered in companion papers.
Hack, Thomas-Paul
2014-11-01
We quantize the linearized Einstein-Klein-Gordon system on arbitrary on-shell backgrounds in a manifestly covariant and gauge-invariant manner. For the special case of perturbations in inflation, i.e. on-shell backgrounds of Friedmann-Lemaître-Robertson-Walker type, we compare our general quantization construction with the standard approach to the quantum theory of perturbations in inflation. We find that not all local quantum observables of the linearized Einstein-Klein-Gordon system can be split into local observables of scalar and tensor type as in the standard approach. However, we argue that this subclass of observables is sufficient for measuring perturbations that vanish at spatial infinity, which is in line with standard assumptions. Finally, we comment on a recent observation that, upon standard quantization, the quantum Bardeen potentials display a non-local behaviour and argue that a similar phenomenon occurs in any local quantum field theory. It is the hope of the author that the present work may constitute a bridge between the generally applicable and thus powerful framework of algebraic quantum field theory in curved spacetimes and the standard treatment of perturbations in inflation.
Falls, W. Fred; Caldwell, Andral W.; Guimaraes, Wladmir B.; Ratliff, W. Hagan; Wellborn, John B.; Landmeyer, James E.
2011-01-01
Soil gas and soil were assessed for organic and inorganic contaminants at the former military police range at Fort Gordon, Georgia, from May to September 2010. The assessment evaluated organic contaminants in soil-gas samplers and inorganic contaminants in soil samples. This assessment was conducted to provide environmental contamination data to Fort Gordon pursuant to requirements of the Resource Conservation and Recovery Act Part B Hazardous Waste Permit process. Soil-gas samplers deployed and collected from May 20 to 24, 2010, identified masses above method detection level for total petroleum hydrocarbons, gasoline-related and diesel-related compounds, and chloroform. Most of these detections were in the southwestern quarter of the study area and adjacent to the road on the eastern boundary of the site. Nine of the 11 chloroform detections were in the southern half of the study area. One soil-gas sampler deployed adjacent to the road on the southern boundary of the site detected a mass of tetrachloroethene greater than, but close to, the method detection level of 0.02 microgram. For soil-gas samplers deployed and collected from September 15 to 22, 2010, none of the selected organic compounds classified as chemical agents and explosives were detected above method detection levels. Inorganic concentrations in the five soil samples collected at the site did not exceed the U.S. Environmental Protection Agency regional screening levels for industrial soil and were at or below background levels for similar rocks and strata in South Carolina.
Lashkevich, Michael; Pugai, Yaroslav [Landau Institute for Theoretical Physics, 142432 Chernogolovka, Moscow Region (Russian Federation); Moscow Institute of Physics and Technology, 141707 Dolgoprudny, Moscow Region (Russian Federation)
2013-12-11
We continue the study of form factors of descendant operators in the sinh- and sine-Gordon models in the framework of the algebraic construction proposed in [1]. We find the algebraic construction to be related to a particular limit of the tensor product of the deformed Virasoro algebra and a suitably chosen Heisenberg algebra. To analyze the space of local operators in the framework of the form factor formalism we introduce screening operators and construct singular and cosingular vectors in the Fock spaces related to the free field realization of the obtained algebra. We show that the singular vectors are expressed in terms of the degenerate Macdonald polynomials with rectangular partitions. We study the matrix elements that contain a singular vector in one chirality and a cosingular vector in the other chirality and find them to lead to the resonance identities already known in the conformal perturbation theory. Besides, we give a new derivation of the equation of motion in the sinh-Gordon theory, and a new representation for conserved currents.
Lashkevich, Michael
2013-01-01
We continue the study of form factors of descendant operators in the sinh- and sine-Gordon models in the framework of the algebraic construction proposed in [arXiv:0812.4776]. We find the algebraic construction to be related to a particular limit of the tensor product of the deformed Virasoro algebra and a suitably chosen Heisenberg algebra. To analyze the space of local operators in the framework of the form factor formalism we introduce screening operators and construct singular and cosingular vectors in the Fock spaces related to the free field realization of the obtained algebra. We show that the singular vectors are expressed in terms of the degenerate Macdonald polynomials with rectangular partitions. We study the matrix elements that contain a singular vector in one chirality and a cosingular vector in the other chirality and find them to lead to the resonance identities already known in the conformal perturbation theory. Besides, we give a new derivation of the equation of motion in the sinh-Gordon th...
M. K. Bahar
2013-01-01
Full Text Available Using the asymptotic iteration and wave function ansatz method, we present exact solutions of the Klein-Gordon equation for the quark-antiquark interaction and harmonic oscillator potential in the case of the position-dependent mass.
Eser Ol(g)ar
2009-01-01
We obtain the bound-state energy of the Klein-Gordon equation for some examples of quasi-exactly solvable potentials within the framework of asymptotic iteration method (AIM). The eigenvalues are calculated for type-1 solutions. The whole quasi-exactly solvable potentials are generated from the defined relation between the vector and scalar potentials.
Ekomasov, E. G.; Salimov, R. K.
2014-12-01
The existence of long-lived ( t ˜ 1000) stable spherically symmetric solutions in the form of pulsons has been numerically revealed for a certain class of Klein-Gordon equations. Their average amplitude of oscillations and the frequency of fast oscillation mode do not change during the entire time of calculation.
de Leeuw, Edith|info:eu-repo/dai/nl/073351385
2014-01-01
Jennifer Madans, Kirsten Miller, Aaron Maitland, and Gordon Willis (Eds). Question Evaluation Methods: Contributing to the Science of Data Quality. Hoboken, NJ: John Wiley & Sons, Inc. 378 pp. 2011. Paperback: ISBN 9781118037003, price USD 64.20. E-pub: ISBN 9781118036983, price USD 52.99. Website
2007 Renewable Energy: Solar Fuels Gordon Research Conference - January 21-26
Daniel G. Nocera
2008-02-01
This Gordon Research Conference seeks to brings together chemists, physicists, materials scientists and biologists to address perhaps the outstanding technical problem of the 21st Century - the efficient, and ultimately economical, storage of energy from carbon-neutral sources. Such an advance would deliver a renewable, environmentally benign energy source for the future. A great technological challenge facing our global future is energy. The generation of energy, the security of its supply, and the environmental consequences of its use are among the world's foremost geopolitical concerns. Fossil fuels - coal, natural gas, and petroleum - supply approximately 90% of the energy consumed today by industrialized nations. An increase in energy supply is vitally needed to bring electric power to the 25% of the world's population that lacks it, to support the industrialization of developing nations, and to sustain economic growth in developed countries. On the geopolitical front, insuring an adequate energy supply is a major security issue for the world, and its importance will grow in proportion to the singular dependence on oil as a primary energy source. Yet, the current approach to energy supply, that of increased fossil fuel exploration coupled with energy conservation, is not scaleable to meet future demands. Rising living standards of a growing world population will cause global energy consumption to increase significantly. Estimates indicate that energy consumption will increase at least two-fold, from our current burn rate of 12.8 TW to 28 - 35 TW by 2050. - U.N. projections indicate that meeting global energy demand in a sustainable fashion by the year 2050 will require a significant fraction of the energy supply to come carbon free sources to stabilize atmospheric carbon dioxide levels at twice the pre-anthropogenic levels. External factors of economy, environment, and security dictate that this global energy need be met by renewable and sustainable
Numerical Studies of Nonlinear Schrodinger and Klein-Gordon Systems: Techniques and Applications
Choi, Dae-Il
The continuing proliferation of computational resources makes it more and more powerful to conduct numerical studies on physics problems for which either analytic methods fail, or well-controlled experiments are very difficult, if not impossible. In particular, a finite-difference based numerical approach. has been an indispensable tool in the three areas of physics that, I study in this thesis: numerical relativity (boson stars), Bose-Einstein condensates, and atomic hydrogen in strong laser fields. Numerical relativity (NR) enables us to tackle problems of astrophysical interest which are difficult or impossible to study using analytic methods. Many of these problems involve strong and dynamical gravitational fields, and many involve the dynamics of one or more gravitationally compact objects such as black holes, neutron stars or, more speculatively, boson stars. A long term goal of NR, then (and of this research) is the accurate simulation of the dynamics of one or more compact objects. Here, as a step in that direction, I present some of the first results for a fully coupled Einstein/Klein-Gordon system in 3D, wherein I attempt to evolve a static relativistic boson star using the full equations of motion. A key motivation for the study of self-gravitating bosonic matter (in both the Newtonian and Einsteinian regimes) is the observation that, even though any direct physical relevance has yet to be demonstrated, boson star systems provide excellent numerical laboratories in which to develop techniques for NR. Specifically, the boson star model provides an ideal vehicle with which to implement and evaluate (1) various coordinate conditions in the context of the ADM formalism and (2) multidimensional adaptive mesh refinement techniques which appear crucial for many problems in 3D numerical relativity. Again, as a step towards studying the fully relativistic problem, I first consider boson stars in the Newtonian regime, which are described by the solutions of Schr
Assessment of soil-gas contamination at the 17th Street landfill, Fort Gordon, Georgia, 2011
Falls, W. Fred; Caldwell, Andral W.; Guimaraes, Wladmir G.; Ratliff, W. Hagan; Wellborn, John B.; Landmeyer, James E.
2012-01-01
Assessments of contaminants in soil gas were conducted in two study areas at Fort Gordon, Georgia, in July and August of 2011 to supplement environmental contaminant data for previous studies at the 17th Street landfill. The two study areas include northern and eastern parts of the 17th Street landfill and the adjacent wooded areas to the north and east of the landfill. These study areas were chosen because of their close proximity to the surface water in Wilkerson Lake and McCoys Creek. A total of 48 soil-gas samplers were deployed for the July 28 to August 3, 2011, assessment in the eastern study area. The assessment mostly identified detections of total petroleum hydrocarbons (TPH), and gasoline- and diesel-range compounds, but also identified the presence of chlorinated solvents in six samplers, chloroform in three samplers, 2-methyl naphthalene in one sampler, and trimethylbenzene in one sampler. The TPH masses exceeded 0.02 microgram (μg) in all 48 samplers and exceeded 0.9 μg in 24 samplers. Undecane, one of the three diesel-range compounds used to calculate the combined mass for diesel-range compounds, was detected in 17 samplers and is the second most commonly detected compound in the eastern study area, exceeded only by the number of TPH detections. Six samplers had detections of toluene, but other gasoline compounds were detected with toluene in three of the samplers, including detections of ethylbenzene, meta- and para-xylene, and octane. All detections of chlorinated organic compounds had soil-gas masses equal to or less than 0.08 μg, including three detections of trichloroethene, three detections of perchloroethene, three chloroform detections, one 1,4-dichlorobenzene detection, and one 1,1,2-trichloroethane detection. Three methylated compounds were detected in the eastern study area, but were detected at or below method detection levels. A total of 32 soil-gas samplers were deployed for the August 11–24, 2011, assessment in the northern study
Cunningham, W. D.
1994-04-01
A succession of mafic rocks that includes gabbro, sheeted dikes and deformed pillow basalts has been mapped in detail on Isla Gordon, southernmost Chile and is identified as an upper ophiolitic complex representing the uplifted floor of the Late Jurassic-Early Cretaceous Rocas Verdes marginal basin. The complex was uplifted, deformed, and regionally metamorphosed prior to the intrusion of an undeformed 90 Ma granodiorite that cuts the complex. The complex appears para-autochthonous, is gently tilted to the northeast and is internally sheared by near-vertical foliation zones. No evidence for obduction was observed although the base of the complex is not exposed. The ophiolitic rocks have been regionally metamorphosed to mid-upper greenschist levels. Isla Gordon is bounded by the northwest and southwest arms of the Beagle Channel, two important structural boundaries in the southernmost Andes that are interpreted to have accommodated north-side-up and left-lateral displacements. Directly north of Isla Gordon is the Cordillera Darwin metamorphic complex that exposes the highest grade metamorphic rocks in the Andes south of Peru. On the north coast of Isla Gordon a volcaniclastic turbidite sequence that is interpreted to have been deposited above the mafic floor is metamorphosed to lower greenschist levels in strong metamorphic contrast to amphibolite-grade othogneisses exposed in Cordillera Darwin only 2 km away across the northwest arm of the Beagle Channel. The profound metamorphic break across the northwest arm of the Beagle Channel and the regional northeast tilt of the ophiolitic complex are consistent with the previously proposed hypothesis that Isla Gordon represents the upper plate to an extensional fault that accommodated tectonic unroofing of Cordillera Darwin. However, limited structural evidence for extension was identified in this study to support the model and further work is needed to determine the relative importance of contractional, extensional and
Fischer, D.J.
2008-01-15
We study the Casimir energy density of the Klein-Gordon-field in the case of two static geometries. We model the effect by coupling the free quantum field to a static classical scalar field. We work out the dependence on the coupling {lambda}, including the limit {lambda}={infinity} (Dirichlet boundary condition). The chosen geometries are described by a {delta}-funktion ({sigma}(x)={delta}(x{sub 3})) and a step function of finite height ({sigma}(x)= (1)/(2{epsilon})1{sub [{epsilon},{epsilon}]}(x{sub 3})), respectively. In the area outside the support of the background the density energy converges; calculations for the distorted area lead to divergent surface terms. (orig.)
Two-dimensional discrete gap breathers in a two-dimensional discrete diatomic Klein-Gordon lattice
XU Quan; QIANG Tian
2009-01-01
We study the existence and stability of two-dimensional discrete breathers in a two-dimensional discrete diatomic Klein-Gordon lattice consisting of alternating light and heavy atoms, with nearest-neighbor harmonic coupling.Localized solutions to the corresponding nonlinear differential equations with frequencies inside the gap of the linear wave spectrum, i.e. two-dimensional gap breathers, are investigated numerically. The numerical results of the corresponding algebraic equations demonstrate the possibility of the existence of two-dimensional gap breathers with three types of symmetries, i.e., symmetric, twin-antisymmetric and single-antisymmetric. Their stability depends on the nonlinear on-site potential (soft or hard), the interaction potential (attractive or repulsive)and the center of the two-dimensional gap breather (on a light or a heavy atom).
Several solutions of the Klein-Gordon equation in Kerr-Newman spacetime and the BSW effect
Yumisaki, Hikaru
2016-01-01
We investigate the radial part of the charged massive Klein-Gordon equation in Kerr-Newman spacetime, and in several specific situations, obtain several exact solutions in terms of essentially hypergeometric functions and their confluent type. Using these global solutions and generally obtained local solutions, we calculate a sort of intensity $E^2 $ of the collision of two field excitations which is a slight generalization of the trace of the stress tensor. We find that when the black hole is non-extremal, that of two ingoing modes is bounded from above. However, in the extremal limit, more precisely $\\hbar \\kappa_H \\rightarrow 0$, the upper bound grows so that when one of the two modes satisfies the critical relation, $E^2 $ at the horizon is unboundedly large. Furthermore, that of ingoing and outgoing mode is always unbounded, as is in the classical calculation. Our results suggest that the BSW effect be inherited to the quantum theory.
Kevrekidis, Panayotis; Williams, Floyd
2014-01-01
The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of applications extending from coupled torsion pendula and Josephson junction arrays to gravitational and high-energy physics models. The purpose of this book is to present a summary of recent developments in this field, incorporating both introductory background material, but also with a strong view towards modern applications, recent experiments, developments regarding the existence, stability, dynamics and asymptotics of nonlinear waves that arise in the model. This book is of particular interest to a wide range of researchers in this field, but serves as an introductory text for young researchers and students interested in the topic. The book consists of well-selected thematic chapters on diverse mathematical and physical aspects of the equation carefully chosen and assigned.
Wang Xiao-xing; Lu Long-dou; Hao Huai-qing; Teng Nian-jun; Chen Tong; Guo Yi-ming; Yang Ying-gen; Guo Zhong-chen; Lin Jin-xing
2007-01-01
A high-efficiency somatic embryogenesis protocol of Japanese larch (Larix leptolepis Gordon) has been established in our investigation. Calli were induced from immature zygotic embryos of female cones ofL. leptolepis and then subcultured regularly on to a modified Gupta and Durzan (DCR) basal medium for 5 years. Embryogenic tissues showed distinct morphological changes during somatic embryo development when they were transferred to a maturation medium supplemented with abscisic acid (ABA) compared with the morphology in a medium lacking ABA. Histological observations indicated that polyembryony was a characteristic feature during early embryogeny and somatic embryos at later stages showed normal histodifferentiation. In addition, histochemical analysis revealed that abundant starch granules and proteins accumulated in mature embryos, indicating that they played important roles in the development and regeneration of normal plantlets from somatic embryos on hormone-free germination media
Patricia Aristizábal Montes. Cartas de una cartagenera. Josefa Gordon de Jove. 1845-1849
Diana Crucelly González Rey
2012-09-01
Full Text Available Las escritoras del siglo XIX fueron tal vez las primeras mujeres con un rol aceptado que superaba el ámbito domestico del país. La mayoría, si no todas, fueron esposas, hijas o madres de los grandes negociantes, políticos y juristas del siglo XIX, y son reconocidos sus trabajos que se conservan en las publicaciones periódicas donde se pueden leer sus poemas, cuentos y reflexiones morales. Tal vez la figura más importante de esa época fue Soledad Acosta de Samper, pero muchas fueron las mujeres que, a pesar de ver publicados sus pensamientos, quedaron bajo el anonimato del seudónimo. Una de ellas, la cartagenera Josefa Gordon de Jove, fue recientemente descubierta, dejando de ser una referencia al margen. Normal 0 21 false false false ES-CO X-NONE X-NONE MicrosoftInternetExplorer4
The (1+1)-dimensional Massive sine-Gordon Field Theory and the Gaussian Wave-functional Approach
Lu, W F
1999-01-01
The ground, one- and two-particle states of the (1+1)-dimensional massive sine-Gordon field theory are investigated within the framework of the Gaussian wave-functional approach. We demonstrate that for a certain region of the model-parameter space, the vacuum in the field system is asymmetrical, which verifies an earlier conjecture. Furthermore, it is shown that two-particle bound state can exist upon the asymmetric vacuum for some portion of the aforementioned region. Besides, the masses of one particle and tow-particle bound state upon the symmetric vacuum are also calculated, and the resultant masses agree with the recent second-order results of fermion-mass perturbation for the massive Schwinger model.
A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field
Raicher, E., E-mail: erez.raicher@mail.huji.ac.il [Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel); Department of Applied Physics, Soreq Nuclear Research Center, Yavne 81800 (Israel); Eliezer, S. [Department of Applied Physics, Soreq Nuclear Research Center, Yavne 81800 (Israel); Nuclear Fusion Institute, Polytechnic University of Madrid, Madrid (Spain); Zigler, A. [Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)
2015-11-12
The Klein–Gordon equation in the presence of a strong electric field, taking the form of the Mathieu equation, is studied. A novel analytical solution is derived for particles whose asymptotic energy is much lower or much higher than the electromagnetic field amplitude. The condition for which the new solution recovers the familiar Volkov wavefunction naturally follows. When not satisfied, significant deviation from the Volkov wavefunction is demonstrated. The new condition is shown to differ by orders of magnitudes from the commonly used one. As this equation describes (neglecting spin effects) the emission processes and the particle motion in Quantum Electrodynamics (QED) cascades, our results suggest that the standard theoretical approach towards this phenomenon should be revised.
Greg Sitz
2011-08-12
The 2011 Gordon Conference on Dynamics at Surfaces is the 32nd anniversary of a meeting held every two years that is attended by leading researchers in the area of experimental and theoretical dynamics at liquid and solid surfaces. The conference focuses on the dynamics of the interaction of molecules with either liquid or solid surfaces, the dynamics of the outermost layer of liquid and solid surfaces and the dynamics at the liquid-solid interface. Specific topics that are featured include state-to-state scattering dynamics, chemical reaction dynamics, non-adiabatic effects in reactive and inelastic scattering of molecules from surfaces, single molecule dynamics at surfaces, surface photochemistry, ultrafast dynamics at surfaces, and dynamics at water interfaces. The conference brings together investigators from a variety of scientific disciplines including chemistry, physics, materials science, geology, biophysics, and astronomy.
A novel solution to the Klein–Gordon equation in the presence of a strong rotating electric field
E. Raicher
2015-11-01
Full Text Available The Klein–Gordon equation in the presence of a strong electric field, taking the form of the Mathieu equation, is studied. A novel analytical solution is derived for particles whose asymptotic energy is much lower or much higher than the electromagnetic field amplitude. The condition for which the new solution recovers the familiar Volkov wavefunction naturally follows. When not satisfied, significant deviation from the Volkov wavefunction is demonstrated. The new condition is shown to differ by orders of magnitudes from the commonly used one. As this equation describes (neglecting spin effects the emission processes and the particle motion in Quantum Electrodynamics (QED cascades, our results suggest that the standard theoretical approach towards this phenomenon should be revised.
Bose gas to Bose-Einstein Condensate by the Phase Transition of the Klein-Gordon equation
Matos, Tonatiuh
2012-01-01
We rewrite the complex Klein-Gordon (KG) equation with a mexican-hat scalar field potential in a thermal bath with one loop contribution as a new Gross-Pitaevskii (GP)-like equation. We interpret it as a charged and finite temperature generalization of the GP equation. We find its hydrodynamic version as well and using it, we derive the corresponding thermodynamics. We obtain a generalized first law for a charged Bose-Einstein Condensate (BEC). We translate the breaking of the U(1) local symmetry of the KG field into the new version of the GP equation and demonstrate that this symmetry breaking corresponds to a phase transition of the gas into a BEC, and show the conditions for which this system naturally becomes superfluid and/or superconductor.
Tarloyan, A. S.; Ishkhanyan, T. A.; Ishkhanyan, A. M.
2016-04-01
We present in total fifteen potentials for which the stationary Klein-Gordon equation is solvable in terms of the confluent Heun functions. Because of the symmetry of the confluent Heun equation with respect to the transposition of its regular singularities, only nine of the potentials are independent. Four of these independent potentials are five-parametric. One of them possesses a four-parametric ordinary hypergeometric sub-potential, another one possesses a four-parametric confluent hypergeometric sub-potential, and one potential possesses four-parametric sub-potentials of both hypergeometric types. The fourth five-parametric potential has a three-parametric confluent hypergeometric sub-potential, which is, however, only conditionally integrable. The remaining five independent Heun potentials are four-parametric and have solutions only in terms of irreducible confluent Heun functions.
Xu Quan; Tian Qiang
2009-01-01
We study a two-dimensional (2D) diatomic lattice of anharmonic oscillators with only quartic nearest-neighbor interactions, in which discrete breathers (DBs) can be explicitly constructed by an exact separation of their time and space dependence. DBs can stably exist in the 2D discrete diatomic Klein-Gordon lattice with hard and soft on-site potentials. When a parametric driving term is introduced in the factor multiplying the harmonic part of the on-site potential of the system, we can obtain the stable quasiperiodic discrete breathers (QDBs) and chaotic discrete breathers (CDBs) by changing the amplitude of the driver. But the DBs and QDBs with symmetric and anti-symmetric profiles that are centered at a heavy atom are more stable than at a light atom, because the frequencies of the DBs and QDBs centered at a heavy atom are lower than those centered at a light atom.
Zwier, Timothy S. [Purdue Univ., West Lafayette, IN (United States)
2012-07-20
The Gordon Research Conference on ATOMIC & MOLECULAR INTERACTIONS was held at Stonehill College Easton, Massachusetts, July 15-20, 2012. The Conference was well-attended with 121 participants (attendees list attached). The attendees represented the spectrum of endeavor in this field coming from academia, industry, and government laboratories, both U.S. and foreign scientists, senior researchers, young investigators, and students. Of the 121 attendees, 64 voluntarily responded to a general inquiry regarding ethnicity which appears on our registration forms. Of the 64 respondents, 11% were Minorities – 2% Hispanic, 9% Asian and 0% African American. Approximately 20% of the participants at the 2012 meeting were women. The Gordon Research SEMINAR on ATOMIC & MOLECULAR INTERACTIONS was held at Stonehill College Easton, Massachusetts, July 14 - 15, 2012. The Conference was well-attended with 42 participants (attendees list attached). The attendees represented the spectrum of endeavor in this field coming from academia, industry, and government laboratories, both U.S. and foreign scientists, senior researchers, young investigators, and students. Of the 42 attendees, 20 voluntarily responded to a general inquiry regarding ethnicity which appears on our registration forms. Of the 20 respondents, 10% were Minorities – 0% Hispanic, 10% Asian and 0% African American. Approximately 29% of the participants at the 2012 meeting were women. In designing the formal speakers program, emphasis was placed on current unpublished research and discussion of the future target areas in this field. There was a conscious effort to stimulate lively discussion about the key issues in the field today. Time for formal presentations was limited in the interest of group discussions. In order that more scientists could communicate their most recent results, poster presentation time was scheduled. Attached is a copy of the formal schedule and speaker program and the poster program. In addition to
Review of the Gordon Bell Prize%戈登奖——分析与思考
张理论; 邓小刚
2012-01-01
戈登奖(Gordon Bell Prize)是高性能计算应用领域的最高学术奖项.与TOP500重视衡量高性能计算机系统性能相比,该奖项更关注用于解决重要科学问题的高性能计算技术创新,是国际上公认的高性能计算应用技术发展水平的重要标杆.本文综合分析近年来戈登奖的获奖研究成果,尤其是最高性能奖和特别奖的研究特点及科学意义.在此基础上,总结规律,并就如何推进高性能计算应用研究,给出了一些思考,以期为我国从事超级计算应用研究的同仁提供参考.%The ACM Gordon Bell Prize is the top academic award in the field of HPC application. This prize is awarded to recognize outstanding achievement, with particular emphasis on innovation in applying HPC to applications in science. Now it is deemed to be the measure of the progress over the time of HPC application. In this paper, the results of the award-winning research are summarized and analyzed over the last thirteen years, especially for the peak performance and the special awards. Some views on how to promote the research of HPC application are presented for the reference of demestic colleagues.
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145844 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1503 in the North Pacific Ocean from 2015-04-06...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145855 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1517 in the North Pacific Ocean from 2015-09-04...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145858 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1521 in the North Pacific Ocean from 2015-09-26...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0138186 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1302 in the North Pacific Ocean from 2013-07-10...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0137262 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1305 in the North Pacific Ocean from 2013-07-25...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0134544 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1224 in the North Pacific Ocean from 2012-12-20...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145857 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1520 in the North Pacific Ocean from 2015-09-20...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145856 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1519 in the North Pacific Ocean from 2015-09-19...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0138190 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1317 in the North Pacific Ocean from 2013-12-10...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0150572 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1529 in the North Pacific Ocean from 2015-11-17...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0153499 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1407 in the waters of unknown oceans from...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0135462 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1316 in the North Pacific Ocean from 2013-12-03...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0150574 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1531 in the North Pacific Ocean from 2015-12-08...
National Oceanic and Atmospheric Administration, Department of Commerce — Chemical, physical, profile, meteorological, navigational and underway oceanographic data were collected aboard NOAA Ship GORDON GUNTER in the Gulf of Mexico from...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145854 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1515 in the North Pacific Ocean from 2015-07-11...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145853 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1514 in the North Pacific Ocean from 2015-07-01...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0137264 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1315 in the North Pacific Ocean from 2013-11-23...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0150568 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1525 in the North Pacific Ocean from 2015-10-21...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0135460 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1304 in the North Pacific Ocean from 2013-07-19...
National Oceanic and Atmospheric Administration, Department of Commerce — Chemical, physical, profile and underway oceanographic data were collected aboard NOAA Ship GORDON GUNTER in the Gulf of Mexico from 2010-05-27 to 2010-06-04 in...
National Oceanic and Atmospheric Administration, Department of Commerce — Profile and underway oceanographic data were collected aboard NOAA Ship GORDON GUNTER in the Gulf of Mexico from 2010-07-21 to 2010-07-24 in response to the...
National Oceanic and Atmospheric Administration, Department of Commerce — Chemical, physical, profile and underway oceanographic data were collected aboard NOAA Ship GORDON GUNTER in the Gulf of Mexico from 2010-07-01 to 2010-07-06 in...
National Oceanic and Atmospheric Administration, Department of Commerce — Chemical, physical, profile and underway oceanographic data were collected aboard NOAA Ship GORDON GUNTER in the Gulf of Mexico from 2010-07-08 to 2010-07-16 in...
National Oceanic and Atmospheric Administration, Department of Commerce — Chemical, physical and profile oceanographic data were collected aboard NOAA Ship GORDON GUNTER in the Gulf of Mexico from 2010-07-25 to 2010-07-31 in response to...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145850 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1510 in the North Pacific Ocean from 2015-06-05...
National Oceanic and Atmospheric Administration, Department of Commerce — Chemical, physical, profile and underway oceanographic data were collected aboard NOAA Ship GORDON GUNTER in the Gulf of Mexico from 2010-06-15 to 2010-06-25 in...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145847 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1506 in the North Pacific Ocean from 2015-04-18...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0138182 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1210 in the North Pacific Ocean from 2012-07-11...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145851 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1511 in the North Pacific Ocean from 2015-06-18...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0145846 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1505 in the North Pacific Ocean from 2015-04-12...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0153501 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1409 in the North Pacific Ocean from 2014-11-14...
National Oceanic and Atmospheric Administration, Department of Commerce — NCEI Accession 0153497 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1206 in the North Pacific Ocean from 2012-05-25...
National Oceanic and Atmospheric Administration, Department of Commerce — Chemical, physical, profile, laboratory analysis and underway oceanographic data were collected aboard NOAA Ship GORDON GUNTER in the Gulf of Mexico from 2010-08-02...
National Oceanic and Atmospheric Administration, Department of Commerce — NODC Accession 0138187 includes physical and underway data collected aboard the ROBERT GORDON SPROUL during cruise SP1308 in the North Pacific Ocean from 2013-10-04...
Stein, Murray
2015-09-01
This paper is a commentary on Rosemary Gordon's paper, 'Masochism: the shadow side of the archetypal need to venerate and worship', with a suggestion for an alternative interpretation of masochism as a part of a sado-masochistic couple. Gordon postulates an archetypal need to venerate and worship that can be hidden in the shadow and distorted in such practices as sexual masochism. Her paper also offers several avenues of exploration for further studies in connection with the phenomenon of masochism, including sexual perversion ('paraphilia'), chronic psychological victimhood, PTSD and traumatology, religious extremist behaviour such as self-flagellation, transformation in the individuation process and numinous experience. An extension of her hypothesis to include religious problems of modernity is suggested.
Chabab, M; Oulne, M
2012-01-01
The analytical expressions for the eigenvalues and eigenvectors of the Klein-Gordon equation for q-deformed Woods-Saxon plus new generalized ring shape potential are derived within the asymptotic iteration method. The obtained eigenvalues are given in a closed form and the corresponding normalized eigenvectors, for any l, are formulated in terms of the generalized Jacobi polynomials for the radial part of the Klein-Gordon equation and associated Legendre polynomials for its angular one. When the shape deformation is canceled, we recover the same solutions previously obtained by the Nikiforov-Uvarov method for the standard spherical Woods-Saxon potential. It is also shown that, from the obtained results, we can derive the solutions of this problem for Hulthen potential.
Note on four-particle form factors of operators $T_{2n}T_{-2n}$ in sinh-Gordon model
Lashkevich, Michael
2016-01-01
The diagonal matrix elements $\\langle\\theta_1,\\theta_2|T_{2n}T_{-2n}|\\theta_1,\\theta_2\\rangle$ between two-particle states in the sinh-Gordon model are computed analytically for all integers $n>0$. This confirms the proposal by F. Smirnov and A. Zamolodchikov for these matrix elements and demonstrates effectiveness of the algebraic approach to form factors.
Sakhel, Asaad R.
2015-01-01
The properties of interacting bosons in a weak, one-dimensional, and bichromatic optical with a rational ratio of the constituting wavelengths $\\lambda_1$ and $\\lambda_2$ are numerically examined along a broad range of the Lieb-Liniger interaction parameter $\\gamma$ passing through the Sine-Gordon transition. It is argued that there should not be much difference in the results between those due to an irrational ratio $\\lambda_1/\\lambda_2$ and due to a rational approximation of the latter. For...
Caryline Agler
2014-02-01
Full Text Available Old English Sheepdogs and Gordon Setters suffer from a juvenile onset, autosomal recessive form of canine hereditary ataxia primarily affecting the Purkinje neuron of the cerebellar cortex. The clinical and histological characteristics are analogous to hereditary ataxias in humans. Linkage and genome-wide association studies on a cohort of related Old English Sheepdogs identified a region on CFA4 strongly associated with the disease phenotype. Targeted sequence capture and next generation sequencing of the region identified an A to C single nucleotide polymorphism (SNP located at position 113 in exon 1 of an autophagy gene, RAB24, that segregated with the phenotype. Genotyping of six additional breeds of dogs affected with hereditary ataxia identified the same polymorphism in affected Gordon Setters that segregated perfectly with phenotype. The other breeds tested did not have the polymorphism. Genome-wide SNP genotyping of Gordon Setters identified a 1.9 MB region with an identical haplotype to affected Old English Sheepdogs. Histopathology, immunohistochemistry and ultrastructural evaluation of the brains of affected dogs from both breeds identified dramatic Purkinje neuron loss with axonal spheroids, accumulation of autophagosomes, ubiquitin positive inclusions and a diffuse increase in cytoplasmic neuronal ubiquitin staining. These findings recapitulate the changes reported in mice with induced neuron-specific autophagy defects. Taken together, our results suggest that a defect in RAB24, a gene associated with autophagy, is highly associated with and may contribute to canine hereditary ataxia in Old English Sheepdogs and Gordon Setters. This finding suggests that detailed investigation of autophagy pathways should be undertaken in human hereditary ataxia.