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On the minimizers of the Ginzburg–Landau energy for high kappa: the one-dimensional case

Published online by Cambridge University Press:  01 August 1997

AMANDINE AFTALION
AMANDINE AFTALION
Affiliation:
DMI, Ecole Normale Supérieure, 45 rue d'Ulm, 75230 Paris cedex 05, France
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Abstract

The Ginzburg–Landau model for superconductivity is examined in the one-dimensional case. First, putting the Ginzburg–Landau parameter κ formally equal to infinity, the existence of a minimizer of this reduced Ginzburg–Landau energy is proved. Then asymptotic behaviour for large κ of minimizers of the full Ginzburg–Landau energy is analysed and different convergence results are obtained, according to the exterior magnetic field. Numerical computations illustrate the various behaviours.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 8 , Issue 4 , August 1997 , pp. 331 - 345
Copyright
© 1997 Cambridge University Press

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