Superconductivity in domains with corners

Details Superconductivity in domains with corners Superconductivity in domains with corners

2007-02-15

arxiv.org/abs/math/0702438v1

Mathematics

Analysis of PDEs

Scientific paper

10.1142/S0129055X07003061

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

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