The frozen-field approximation and the Ginzburg-Landau equations of superconductivity

Details The frozen-field approximation and the Ginzburg-Landau equations of superconductivity The frozen-field approximation and the Ginzburg-Landau equations of superconductivity

2000-07-14

arxiv.org/abs/math/0007092v1

Mathematics

Numerical Analysis

25 pages, 7 figures, 2 tables; manuscript to be published in special issue on asymptotics of the Journal of Engineering Mathem

Scientific paper

The Ginzburg--Landau (GL) equations of superconductivity provide a computational model for the study of magnetic flux vortices in type-II superconductors. In this article we show through numerical examples and rigorous mathematical analysis that the GL model reduces to the frozen-field model when the charge of the Cooper pairs (the superconducting charge carriers) goes to zero while the applied field stays near the upper critical field.

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