Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical dynamics of gauge systems: Spontaneous vortex formation in 2D
  superconductors   We examine the formation of vortices during the nonequilibrium relaxation of
a high-temperature initial state of an Abelian-Higgs system. We equilibrate the
scalar and gauge fields using gauge-invariant Langevin equations and relax the
system by instantaneously removing thermal fluctuations. For couplings near
critical we observe the formation of large clusters of like-sign magnetic
vortices. Their appearance has implications for the dynamics of the phase
transition, for the observed distribution of topological defects and for
late-time phase ordering kinetics. We offer explanations for both the observed
vortex densities and vortex configurations.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph