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

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
Copyright
© 1997 Cambridge University Press

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