SUPERCONDUCTIVITY IN DOMAINS WITH CORNERS-Reference-Cited by-同舟云学术

SUPERCONDUCTIVITY IN DOMAINS WITH CORNERS

Published:2007-07 Issue:06 Volume:19 Page:607-637
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

BONNAILLIE-NOËL V.¹,FOURNAIS S.²

Affiliation:

1. IRMAR, ENS Cachan Bretagne, Univ. Rennes 1, CNRS, UEB av Robert Schuman, F-35170 Bruz, France

2. Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, Building 1530, DK-8000 Aarhus C, Denmark

Abstract

We study the two-dimensional Ginzburg–Landau functional in a domain with corners for exterior magnetic field strengths near the critical field where the transition from the superconducting to the normal state occurs. We discuss and clarify the definition of this field and obtain a complete asymptotic expansion for it in the large κ regime. Furthermore, we discuss nucleation of superconductivity at the boundary.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X07003061

Reference29 articles.

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