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Nucleation of vortices with a temperature and time-dependent Ginzburg–Landau model of superconductivity

Published online by Cambridge University Press:  19 March 2003

E. COSKUN ,
Z. CAKIR  and
P. TAKAC
E. COSKUN
Affiliation:
Department of Mathematics, Karadeniz Technical University, TR-61080 Trabzon, Turkey
Z. CAKIR
Affiliation:
Department of Mathematics, Karadeniz Technical University, TR-61080 Trabzon, Turkey
P. TAKAC
Affiliation:
Department of Mathematics, University of Rostock, D-18055 Rostock, Germany
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Abstract

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The standard scales that are used to non-dimensionalize the temperature- and time-dependent Ginzburg–Landau (TTDGL) model developed by Schmid [27], eliminate temperature- dependent parameters, and thus do not allow for superconducting phenomena due to variations in temperature. In this study, a set of new scales is presented to non-dimensionalize the TTDGL model so that the resulting dimensionless system depends upon a temperature parameter as well. Moreover, some properties of solutions to TTDGL system as a function of temperature are explored. Numerical experiments illustrating the temperature-dependency of vortex nucleation in type-II superconductors as well as the transition to the Meissner state in type-I superconductors are presented.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 14 , Issue 1 , February 2003 , pp. 111 - 127
Copyright
2003 Cambridge University Press