Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical phase transition to localized states in the two-dimensional
  random walk conditioned on partial currents   The study of dynamical large deviations allows for a characterization of
stationary states of lattice gas models out of equilibrium conditioned on
averages of dynamical observables. The application of this framework to the
two-dimensional random walk conditioned on partial currents reveals the
existence of a dynamical phase transition between delocalized band dynamics and
localized vortex dynamics. We present a numerical microscopic characterization
of the phases involved, and provide analytical insight based on the macroscopic
fluctuation theory. A spectral analysis of the microscopic generator shows that
the continuous phase transition is accompanied by spontaneous
$\mathbb{Z}_2$-symmetry breaking whereby the stationary solution loses the
reflection symmetry of the generator. Dynamical phase transitions similar to
this one, which do not rely on exclusion effects or interactions, are likely to
be observed in more complex non-equilibrium physics models.

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The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
19
The categories of this paper are: eess