Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface Tension and Kinetic Coefficient for the Normal/Superconducting
  Interface: Numerical Results vs. Asymptotic Analysis   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.

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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: cmp-lg