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

Pierre Del Castillo

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2002)

  • Volume: 36, Issue: 6, page 971-993
  • ISSN: 0764-583X

Abstract

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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 κ 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 κ 1 2 for the superheating field.

How to cite

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Castillo, Pierre Del. "Expansion for the superheating field in a semi-infinite film in the weak-$\kappa $ limit." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 36.6 (2002): 971-993. <http://eudml.org/doc/244880>.

@article{Castillo2002,
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-$\kappa $ 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.},
author = {Castillo, Pierre Del},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {superconductivity; Ginzburg-Landau equation; critical field},
language = {eng},
number = {6},
pages = {971-993},
publisher = {EDP-Sciences},
title = {Expansion for the superheating field in a semi-infinite film in the weak-$\kappa $ limit},
url = {http://eudml.org/doc/244880},
volume = {36},
year = {2002},
}

TY - JOUR
AU - Castillo, Pierre Del
TI - Expansion for the superheating field in a semi-infinite film in the weak-$\kappa $ limit
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2002
PB - EDP-Sciences
VL - 36
IS - 6
SP - 971
EP - 993
AB - 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-$\kappa $ 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.
LA - eng
KW - superconductivity; Ginzburg-Landau equation; critical field
UR - http://eudml.org/doc/244880
ER -

References

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