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Bifurcation to vortex solutions in superconducting films

Published online by Cambridge University Press:  01 April 1997

T. BOECK
Affiliation:
Mathematical Institute, 24–29 St. Giles', Oxford OX1 3LB, UK
S. J. CHAPMAN
Affiliation:
Mathematical Institute, 24–29 St. Giles', Oxford OX1 3LB, UK

Abstract

The bifurcation from a normally conducting state to a superconducting state in a decreasing magnetic field is studied for a slab geometry. The leading eigenvalue is a double eigenvalue, leading to a rich structure of possible behaviours. A weakly-nonlinear stability analysis is performed, and the possible responses of the material are classified. Finally, the leading-order equations are solved numerically for a wide range of parameter values to determine which of these behaviours will occur in practice.

Type
Research Article
Copyright
1997 Cambridge University Press

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