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Zeros of a complex Ginzburg–Landau order parameter with applications to superconductivity

Published online by Cambridge University Press:  26 September 2008

C. M. Elliott ,
H. Matano  and
Tang Qi
C. M. Elliott
Affiliation:
School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH, UK
H. Matano
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Hongo, Tokyo 113, Japan
Tang Qi
Affiliation:
School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH, UK
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Abstract

We consider the minimizers of the Gibbs free energy which couples a complex Ginzburg–Landau order parameter with a magnetic potential. It is established that the set on which the complex order parameter equals zero consists only of isolated points. Some estimates concerning the set on which the absolute value of the order parameter is small are also given. Numerical simulations are presented for the problem without a magnetic potential.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 5 , Issue 4 , December 1994 , pp. 431 - 448
Copyright
Copyright © Cambridge University Press 1994

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