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Article Dans Une Revue Journal of Mathematical Physics Année : 2005

The Parr formula for the superheating field in a semi-infinite film

Résumé

Di Bartolo, Dolgert and Dorsey 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 $h^{sh}(\kappa)$ up to order four, extending the de Gennes formula and the two terms in Parr's formula. In this paper, we get an upper bound for $h^{sh}(kappa)$ and we deduce a rigorous proof of the Parr formula.
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Dates et versions

hal-00016502 , version 1 (06-01-2006)

Identifiants

Citer

Pierre del Castillo. The Parr formula for the superheating field in a semi-infinite film. Journal of Mathematical Physics, 2005, 46, pp.053513. ⟨10.1063/1.1900292⟩. ⟨hal-00016502⟩
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