Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kibble-Zurek Mechanism in the Ginzburg Regime: Numerical Experiment in
  the Ising Model   Kibble-Zurek mechanism is a theory of defect formation in a non-equilibrium
continuous phase transition. So far the theory has been successfully tested by
numerical simulations and condensed matter experiments in a number of systems
with small thermal fluctuations. This paper reports first numerical test of the
mechanism in a system with large thermal fluctuations and strongly
non-mean-field behavior: the two dimensional Ising model. The theory predicts
correctly the initial density of defects that survive a quench from the
disordered phase. However, before the system leaves the Ginzburg regime of
large fluctuations most of these defects are annihilated and the final density
is determined by the dynamics of the annihilation process only.

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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys