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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
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.
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- © 1997 Cambridge University Press