Physics – Condensed Matter
Scientific paper
1994-11-02
Physics
Condensed Matter
14 pages, Revtex 3.0, 5 postscript figures appended
Scientific paper
10.1103/PhysRevB.50.15961
The dynamics of the normal/superconducting interface in type-I superconductors has recently been derived from the time-dependent Ginzburg-Landau theory of superconductivity. In a suitable limit these equations are mapped onto a ``free-boundary'' problem, in which the interfacial dynamics are determined by the diffusion of magnetic flux in the normal phase. The magnetic field at the interface satisfies a modified Gibbs-Thomson boundary condition which involves both the surface tension of the interface and a kinetic coefficient for motion of the interface. In this paper we calculate the surface tension and kinetic coefficient numerically by solving the one dimensional equilibrium Ginzburg-Landau equations for a wide range of $\kappa$ values. We compare our numerical results to asymptotic expansions valid for $\kappa\ll 1$, $\kappa\approx 1/\sqrt{2}$, and $\kappa\gg 1$, in order to determine the accuracy of these expansions.
Dorsey Alan T.
Osborn James C.
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