Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noise-induced dynamical phase transitions in long-range systems   In the thermodynamic limit, the time evolution of isolated long-range
interacting systems is properly described by the Vlasov equation. This equation
admits non-equilibrium dynamically stable stationary solutions characterized by
a zero order parameter. We show that the presence of external noise sources,
like for instance a heat bath, can induce at a specific time a dynamical phase
transition marked by a non-zero order parameter. This transition corresponds to
a restoring of the full ergodic properties of the system and may be used as a
distinctive experimental signature of the existence of non-equilibrium
Vlasov-stable states. In particular, we evidence for the first time a regime
characterized by an order parameter pulse. Our analytical results are
corroborated by numerical simulations of a paradigmatic long-range model.

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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph