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Incompleted Field Strength Calculation of the Potential Term Adopted from Landau-Ginzberg Theory Applied in Particle Physics
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作者 A. C. Wimal Lalith De Alwis 《World Journal of Condensed Matter Physics》 CAS 2016年第3期177-182,共6页
Completion of field strength calculation of the potential term originated in theories of condensed matter applied in particle physics is discussed.
关键词 Field Strength Calculation Potential Term landau-ginzberg Theory Application in Particle Physics
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非线性Ginzberg-Landau方程初边值问题解的存在性
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作者 房少梅 陈忠 《韶关学院学报》 2005年第3期1-6,共6页
主要研究了一类非线性Ginzberg Landau方程混合初边值问题,用Galerkin方法证明了弱解和整体解的存在性.
关键词 非线性Ginzberg-Landau方程 先验估计 整体解
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D矢量模型的单点自由能、单点矩及其渐近表达式
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作者 王磊 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 1999年第2期248-252,共5页
为使基于累积量展开的京茨堡-朗道理论(GLC)能更精确地研究D矢量模型的临界特性,导出了它的单点自由能。
关键词 D矢量模型 单点自由能 单点矩 渐近表达式
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SPATIO-TEMPORAL CHAOTIC SYNCHRONIZATION FOR MODES COUPLED TWO GINZBURG-LANDAU EQUATIONS
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作者 胡满峰 徐振源 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第8期1149-1156,共8页
On the basis of numerical computation, the conditions of the modes coupling are proposed, and the high-frequency modes are coupled, but the low frequency modes are uncoupled. It is proved that there exist an absorbing... On the basis of numerical computation, the conditions of the modes coupling are proposed, and the high-frequency modes are coupled, but the low frequency modes are uncoupled. It is proved that there exist an absorbing set and a global finite dimensional attractor which is compact and connected in the function space for the high-frequency modes coupled two Ginzburg-Landau equations(MGLE). The trajectory of driver equation may be spatio-temporal chaotic. One associates with MGLE, a truncated form of the equations. The prepared equations persist in long time dynamical behavior of MGLE. MGLE possess the squeezing properties under some conditions. It is proved that the complete spatio-temporal chaotic synchronization for MGLE can occur. Synchronization phenomenon of infinite dimensional dynamical system (IFDDS) is illustrated on the mathematical theory qualitatively. The method is different from Liapunov function methods and approximate linear methods. 展开更多
关键词 complete synchronization Ginzberg-Landau equations ATTRACTOR spatiotemporal chaos
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Investigation of Properties of Motion of Superconductive Electrons in Superconductors by Nonlinear Quantum Mechanical Theory
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作者 Xiao,Feng Pang 《Journal of Electronic Science and Technology of China》 2008年第2期205-211,共7页
The properties and rules of motion of superconductive electrons in steady and time-dependent non-equilibrium states of superconductors are studied by using the Ginzberg-Landau (GL) equations and nonlinear quantum th... The properties and rules of motion of superconductive electrons in steady and time-dependent non-equilibrium states of superconductors are studied by using the Ginzberg-Landau (GL) equations and nonlinear quantum theory. In the absence of external fields, the superconductive electrons move in the solitons with certain energy and velocity in a uniform system, The superconductive electron is still a soliton under action of an electromagnetic field, but its amplitude, phase and shape are changed. Thus we conclude that superconductivity is a result of motion of soliton of superconductive electrons. Since soliton has the feature of motion for retaining its energy and form, thus a permanent current occurs in superconductor. From these solutions of GL equations under action of an electromagnetic field, we gain the structure of vortex lines-magnetic flux lines observed experimentally in type-Ⅱ superconductors. In the time-dependent nonequilibrium states of superconductor, the motions of superconductive electrons exhibit still the soliton features, but the shape and amplitude have changed. In an invariant electric-field, it moves in a constant acceleration. In the medium with dissipation, the superconductive electron behaves still like a soliton, although its form, amplitude, and velocity are altered. Thus we have to convince that the superconductive electron is essentially a soliton in both non-equilibrium and equilibrium superconductors. 展开更多
关键词 Electromagnetic-fields Ginzberg-Landau equations nonlinear quantum theory soliton superconductive-electron.
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某些多维Ginzberg-Landau方程混合初边值问题的整体吸引子
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作者 房少梅 郭柏灵 《应用数学学报》 CSCD 北大核心 2007年第4期604-614,共11页
Ginzburg-Landau方程具有十分丰富的物理应用背景,它准确地描述了湍流行为、超导理论及相位跃迁等演化现象.本文研究一类多维Ginzburg-Landau方程的混合初边值,证明它存在弱的整体吸引子.
关键词 非线性Ginzberg-Landau方程 整体吸引子 GALERKIN方法
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DYNAMICS FOR VORTICES OF AN EVOLUTIONARY GINZBURG-LANDAU EQUATIONS IN 3 DIMENSIONS 被引量:5
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作者 LIU ZUHAN Department of Mathematics, Normal College. Yangzhou University. Yangzhou 225002, China. E-mail: zuhanl@yahoo.com 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第1期95-108,共14页
This paper studies the asymptotic behavior of solutions to an evolutionary Ginzburg-Landau equation in 3 dimensions. It is shown that the motion of the Ginzburg-Landau vortex curves is the flow by its curvature. Away ... This paper studies the asymptotic behavior of solutions to an evolutionary Ginzburg-Landau equation in 3 dimensions. It is shown that the motion of the Ginzburg-Landau vortex curves is the flow by its curvature. Away from the vortices, the author uses some measure theoretic arguments used by F. H. Lin in [16] to show the strong convergence of solutions. 展开更多
关键词 Ginzburg- Landau Equations VORTEX Curvature flow Asymptotic behavior
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