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

Authors
Kaper, HG Nordborg, H
Citation
Hg. Kaper et H. Nordborg, The frozen-field approximation and the Ginzburg-Landau equations of superconductivity, J ENG MATH, 39(1-4), 2001, pp. 221-240
Citations number
18
Categorie Soggetti
Engineering Mathematics
Journal title
JOURNAL OF ENGINEERING MATHEMATICS
ISSN journal
00220833 → ACNP
Volume
39
Issue
1-4
Year of publication
2001
Pages
221 - 240
Database
ISI
SICI code
0022-0833(200103)39:1-4<221:TFAATG>2.0.ZU;2-P
Abstract
The Ginzburg-Landau (GL) equations of superconductivity provide a computati onal model for the study of magnetic Aux vortices in type-II superconductor s. In this article it is shown through numerical examples and rigorous math ematical analysis that the GL model reduces to the frozen-field model when the charge of the Cooper pairs (the superconducting charge carriers) goes t o zero while the applied field stays near the upper critical field.