Superconductivity in domains with corners

被引：31

作者：

Bonnaillie-Noel, V. ^{[1
]}

Fournais, S. ^{[2
]}

机构：

[1] Univ Rennes 1, CNRS, ENS Cachan Bretagne, IRMAR,UEB, F-35014 Rennes, France

[2] Aarhus Univ, Dept Math Sci, DK-8000 Aarhus, Denmark

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2007年 / 19卷 / 06期

关键词：

Ginzburg-Landau; critical field; asymptotic expansion; domains with corners;

D O I：

10.1142/S0129055X07003061

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. regime. Furthermore, we discuss nucleation of superconductivity at the boundary.

引用

页码：607 / 637

页数：31

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