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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- limit. These authors deduced a formal expansion for the superheating field in powers of 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...
Dorsey, Di Bartolo and Dolgert (Di Bartolo , 1996; 1997) have constructed
asymptotic matched solutions at order two for the half-space Ginzburg-Landau model,
in the weak- limit.
These authors deduced
a formal expansion for the superheating field in powers of 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...
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