Superconductivity: Ginzburg-Landau Theory
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An Equivalence Relation for the Ginzburg-landau Equations of Superconductivity
Gauge invariance is used to establish an equivalence relation between solutions of the time-independent and time-dependent Ginzburg-Landau equations that describe the same physical state of a superconductor. The equivalence relation shows how equilibrium conngurations are obtained as large-time asymptotic limits of solutions of the time-dependent Ginzburg-Landau equations.
متن کاملExact solutions of the 2D Ginzburg-Landau equation by the first integral method
The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to non integrable equations as well as to integrable ones. In this paper, the first integral method is used to construct exact solutions of the 2D Ginzburg-Landau equation.
متن کاملFinite Element Methods for the Time-Dependent Ginzburg-Landau Model of Superconductivity
The initial-boundary value problem for the time-dependent Ginzburg-Landau equa, tions that model the macroscopic behavior of superconductors is considered. The convergence of finite-dimensional, semidiscrete Galerkin approximations is studied as is a fully-discrete scheme. The results of some computational experiments are presented. Keywords-Superconductivity, Timedependent Ginzburg-Landau equa...
متن کاملhigh-Tc superconductors from isothermal magnetization data. Influence of a temperature dependent Ginzburg-Landau parameter
We show that the scaling procedure, recently proposed for the evaluation of the temperature variation of the normalized upper critical field of type-II superconductors, may easily be modified in order to take into account a possible temperature dependence of the Ginzburg-Landau parameter κ. As an example we consider κ(T ) as it follows from the microscopic theory of superconductivity.
متن کاملSimplified Ginzburg-landau Models for Superconductivity Valid for High Kappa and High Fields
A formal asymptotic expansion is used to simplify the Ginzburg-Landau model of superconductivity in the limit of large values of the Ginzburg-Landau parameter and high applied magnetic field strengths. The convergence of solutions of the full Ginzburg-Landau equations to solutions of the leading order equations in the hierarchy is demonstrated for both boundary value and periodic problems. The ...
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تاریخ انتشار 2004