Calculus of Variations and Partial Differential Equations

, Volume 14, Issue 4, pp 447–482

Upper critical field for superconductors with edges and corners

  • Xing-Bin Pan
Original article

DOI: 10.1007/s005260100111

Cite this article as:
Pan, X. Calc Var (2002) 14: 447. doi:10.1007/s005260100111

Abstract.

The effect of non-smoothness of sample surfaces on the value of the upper critical field \(H_{C_3}\) and on the location of superconductivity nucleation is discussed. It is shown that, superconducting samples with edges and corners have higher value of \(H_{C_3}\) comparing to samples with smooth surfaces. Superconductivity nucleates first at the top and bottom edges in a cylinder with a finite height, and nucleates first at vertices in a cuboid.

Mathematics Subject Classification (1991): 35Q55, 81Q10, 82D55.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Xing-Bin Pan
    • 1
  1. 1.Center for Mathematical Sciences, Zhejiang University, Hangzhou 310027, P.R. China CN
  2. 2.Department of Mathematics, National University of Singapore, Singapore 119260 SG