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Surface Tension and Kinetic Coefficient for the Normal/Superconducting Interface: Numerical Results vs. Asymptotic Analysis

James C. Osborn·Alan T. Dorsey
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Abstract

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 $κ$ values. We compare our numerical results to asymptotic expansions valid for $κ\ll 1$, $κ\approx 1/\sqrt{2}$, and $κ\gg 1$, in order to determine the accuracy of these expansions.

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James C. Osborn, Alan T. Dorsey. 1994-11-02. Surface Tension and Kinetic Coefficient for the Normal/Superconducting Interface: Numerical Results vs. Asymptotic Analysis. https://doi.org/10.1103/physrevb.50.15961

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