The frozen- eld approximation and the Ginzburg{Landau equations of superconductivity
نویسندگان
چکیده
The Ginzburg{Landau (GL) equations of superconductivity provide a computational model for the study of magnetic ux vortices in type-II superconduc-tors. In this article we show through numerical examples and rigorous mathematical analysis that the GL model reduces to the frozen-eld model when the charge of the Cooper pairs (the superconducting charge carriers) goes to zero while the applied eld stays near the upper critical eld.
منابع مشابه
The Ginzburg{landau Equations of Superconductivity in the Limit of Weak Coupling near the Upper Critical Field
This article is concerned with the Ginzburg{Landau (GL) equations of superconductivity. The equations provide a mathematical model for the study of magnetic ux vortices in superconductors. The focus is on the asymptotic case when the charge of the superconducting charge carriers (Cooper pairs) is vanishingly small and the applied magnetic eld approaches the upper critical eld. It is shown that ...
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