http://xuebao.sysu.edu.cn/Jweb_zrb/CN/10.13471/j.cnki.acta.snus.2024.01.001 In physics, Ginzburg–Landau theory, often called Landau–Ginzburg theory, named after Vitaly Ginzburg and Lev Landau, is a mathematical physical theory used to describe superconductivity. In its initial form, it was postulated as a phenomenological model which could describe type-I … Skatīt vairāk Based on Landau's previously established theory of second-order phase transitions, Ginzburg and Landau argued that the free energy, F, of a superconductor near the superconducting transition can be expressed in … Skatīt vairāk The phase transition from the normal state is of second order for Type II superconductors, taking into account fluctuations, as demonstrated by Dasgupta and Halperin, while for Type I superconductors it is of first order, as demonstrated by … Skatīt vairāk The Ginzburg–Landau functional can be formulated in the general setting of a complex vector bundle over a compact Riemannian manifold. This is the same functional as given above, transposed to the notation commonly used in Riemannian … Skatīt vairāk Consider a homogeneous superconductor where there is no superconducting current and the equation for ψ simplifies to: This equation … Skatīt vairāk The Ginzburg–Landau equations predicted two new characteristic lengths in a superconductor. The first characteristic length was termed coherence length, ξ. For T > Tc (normal phase), it is given by while for T < Tc … Skatīt vairāk In the original paper Ginzburg and Landau observed the existence of two types of superconductors depending on the energy of the interface … Skatīt vairāk When the manifold $${\displaystyle M}$$ is a Riemann surface $${\displaystyle M=\Sigma }$$, the functional can be re-written so as to explicitly show self-duality. One achieves … Skatīt vairāk
我的凝聚态物理-朗道相变理论2 - 知乎 - 知乎专栏
Tīmeklis复金兹堡-朗道方程有助于模拟从周期性振荡过渡到混沌状态的某些部分。 在此过渡过程中，振荡幅度逐渐增加，并且周期性减小。 这些方程用于研究可激发介质中的螺旋波动力学。 仿真结果表明，随着时间的流逝，扩散组分和螺旋特征的复杂性不断增加。 在 45s（左）和 75s（右）求解复金兹堡-朗道方程。 使用这两组方程式，我们可以得 … Tīmeklis摘要： 简要介绍同调镜像对称中的 Landau-Ginzburg A-模型 (LG-A模型)。 首先简要回顾了同调镜像对称的整体图景，然后讨论了 Landau-Ginzburg 模型的背景以及在同 … prescott valley drain cleaning
Ginzburg-Landau equation - Encyclopedia of Mathematics
Tīmeklis2024. gada 13. apr. · We consider a generalized nonlocal Ginzburg–Landau equation with periodic boundary conditions. For the corresponding initial-boundary value problem we prove the existence of a solution for all positive values of the evolution variable. We study the existence and properties of invariant manifolds. We extract a class of … Tīmeklis在 物理学中 ， Ginzburg-Landau 理论 ，常被称为 Landau-Ginzburg 理论 ，以 维塔利·金茨堡 和 列夫·兰道 命名 ，是一种用于描述 超导性 的数学物理理论 。 在最初的形 … TīmeklisGinzburg-Landau方程，是一种非线性偏微分方程。 1950年，维塔利·拉扎列维奇·金茨堡（Vitaly Lazarevich Ginzburg）同列夫·达维多维奇·朗道（Lev Davidovich … prescott valley emissions testing