The Frozen-Field Approximation and the Ginzburg-Landau Equations of Superconductivity

TitleThe Frozen-Field Approximation and the Ginzburg-Landau Equations of Superconductivity
Publication TypeReport
Year of Publication2000
AuthorsKaper, HG, Nordborg, H
Series TitleJ. Eng. Math.
Pagination221-240
Date Published07/2000
Other NumbersANL/MCS-P835-0700
Abstract

<p>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 charage carriers) goes to zero while the applied field stays near the upper critical field.</p>

PDFhttp://www.mcs.anl.gov/papers/P835.ps.Z