Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-25T04:51:41.064Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)