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Expansion for the superheating field in a semi-infinite film in the weak-κ limit

Published online by Cambridge University Press:  15 January 2003

Pierre Del Castillo
Pierre Del Castillo*
Affiliation:
UMR 8628 du CNRS, Département de Mathématiques, Université Paris-Sud, 91405 Orsay, France. pierre.castillo@math.u.psud.fr.
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Abstract

Dorsey, Di Bartolo and Dolgert (Di Bartolo et al., 1996; 1997) have constructed asymptotic matched solutions at order two for the half-space Ginzburg-Landau model, in the weak-κ limit. These authors deduced a formal expansion for the superheating field in powers of $\kappa^{\frac{1}{2}}$ up to order four, extending the formula by De Gennes (De Gennes, 1966) and the two terms in Parr's formula (Parr, 1976). In this paper, we construct asymptotic matched solutions at all orders leading to a complete expansion in powers of $\kappa^{\frac{1}{2}}$ for the superheating field.

Keywords

SuperconductivityGinzburg-Landau equationcritical field.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 6 , November 2002 , pp. 971 - 993
Copyright
© EDP Sciences, SMAI, 2002

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References

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