Simplified Ginzburg-landau Models for Superconductivity Valid for High Kappa and High Fields
نویسنده
چکیده
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 results of computational experiments using the full Ginzburg-Landau model and the leading order model are given. These indicate that the simplified model yields solutions that are accurate approximations to solutions of the full model equations even for moderate values of the Ginzburg-Landau parameter.
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تاریخ انتشار 2010