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A Ginzburg–Landau type model of superconducting/normal junctions including Josephson junctions

Published online by Cambridge University Press:  26 September 2008

S. Jonathan Chapman ,
Qiang Du  and
Max D. Gunzburger
S. Jonathan Chapman
Affiliation:
Mathematical Institute, University of Oxford, 24–29 St. Giles', Oxford OXI 3LB, UK
Qiang Du
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
Max D. Gunzburger
Affiliation:
Department of Mathematics, Virginia Tech, Blacksburg, VA 24061, USA
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Abstract

A model for superconductors co-existing with normal materials is presented. The model, which applies to such situations as superconductors containing normal impurities and superconductor/normal material junctions, is based on a generalization of the Ginsburg–Landau model for superconductivity. After presenting the model, it is shown that it reduces to well-known models due to de Gennes for certain superconducting/normal interfaces, and in particular, for Josephson junctions. A provident feature of the modified model is that it can, by itself, account for all of these as well as other physical situations. The results of some preliminary computational experiments using the model are then provided; these include flux pinning by normal impurities and a superconductor/normal/superconductor junction. A side benefit of the modified model is that, through its use, these computational simulations are more easily obtained.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 6 , Issue 2 , April 1995 , pp. 97 - 114
Copyright
Copyright © Cambridge University Press 1995

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References

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