Asymptotics for thin superconducting rings
type: Item
instance of: scholarly article
title: Asymptotics for thin superconducting rings
zbMATH Open document ID: 0904.35071
DOI: 10.1016/S0021-7824(98)80009-3
author: Jacob Rubinstein
author: Michelle Schatzman
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1997-09-15T00:00:00Z
review text: We consider thin superconducting rings of arbitrary smooth shape. We show that when the ring thickness is much smaller than its radius, the coherence length and the penetration length, the Ginzburg-Landau energy functional can be approximated by a one-dimensional functional. The model we derive is useful for the analysis of several problems in superconductivity such as the Little-Parks effect and Josephson junctions.
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 82D55
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35J50
Mathematics Subject Classification ID: 53A04
zbMATH DE Number: 1060804
zbMATH Keywords: Ginzburg-Landau energy functional
zbMATH Keywords: Little-Parks effect
zbMATH Keywords: Josephson junctions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1060804