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On the Lawrence–Doniach model for layered superconductors

Published online by Cambridge University Press:  01 August 1997

ZHIMING CHEN ,
K.-H. HOFFMANN  and
LISHANG JIANG
ZHIMING CHEN
Affiliation:
Lehrstuhl für Angewandte Mathematik, Technische Universität München, Dachauerstr. 9a, 80335 München, Germany
K.-H. HOFFMANN
Affiliation:
Lehrstuhl für Angewandte Mathematik, Technische Universität München, Dachauerstr. 9a, 80335 München, Germany
LISHANG JIANG
Affiliation:
Department of Mathematics, Suzhou University, Suzhou 215000, PR China
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Abstract

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The Lawrence–Doniach model for superconducting layered compounds in which the Ginzburg–Landau order parameters in adjacent layers are coupled by Josephson tunneling is considered. The main purpose of this paper is to demonstrate that the time-dependent Ginzburg–Landau model is the limit of the Lawrence–Doniach model as the layer spacing goes to zero.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 8 , Issue 4 , August 1997 , pp. 369 - 387
Copyright
© 1997 Cambridge University Press