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

Henrik Nordborg () and Hans G. Kaper ()
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Henrik Nordborg: The University of Chicago, James Frank Institute
Hans G. Kaper: Argonne National Laboratory, Mathematics and Computer Science Division

A chapter in Practical Asymptotics, 2001, pp 221-240 from Springer

Abstract: Abstract 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 it is shown 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.

Keywords: Ginzburg-Landau equations; superconductivity; frozen-field approximation; asymptotic analysis (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0698-9_12

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DOI: 10.1007/978-94-010-0698-9_12

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