Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nucleation and Growth of the Superconducting Phase in the Presence of a
  Current   We study the localized stationary solutions of the one-dimensional
time-dependent Ginzburg-Landau equations in the presence of a current. These
threshold perturbations separate undercritical perturbations which return to
the normal phase from overcritical perturbations which lead to the
superconducting phase. Careful numerical work in the small-current limit shows
that the amplitude of these solutions is exponentially small in the current; we
provide an approximate analysis which captures this behavior. As the current is
increased toward the stall current J*, the width of these solutions diverges
resulting in widely separated normal-superconducting interfaces. We map out
numerically the dependence of J* on u (a parameter characterizing the material)
and use asymptotic analysis to derive the behaviors for large u (J* ~ u^-1/4)
and small u (J -> J_c, the critical deparing current), which agree with the
numerical work in these regimes. For currents other than J* the interface
moves, and in this case we study the interface velocity as a function of u and
J. We find that the velocities are bounded both as J -> 0 and as J -> J_c,
contrary to previous claims.

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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg