Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical phase transition in large deviation statistics of the
  Kardar-Parisi-Zhang equation   We study the short-time behavior of the probability distribution
$\mathcal{P}(H,t)$ of the surface height $h(x=0,t)=H$ in the
Kardar-Parisi-Zhang (KPZ) equation in $1+1$ dimension. The process starts from
a stationary interface: $h(x,t=0)$ is given by a realization of two-sided
Brownian motion constrained by $h(0,0)=0$. We find a singularity of the large
deviation function of $H$ at a critical value $H=H_c$. The singularity has the
character of a second-order phase transition. It reflects spontaneous breaking
of the reflection symmetry $x \leftrightarrow -x$ of optimal paths $h(x,t)$
predicted by the weak-noise theory of the KPZ equation. At $|H|\gg |H_c|$ the
corresponding tail of $\mathcal{P}(H)$ scales as $-\ln \mathcal{P} \sim
|H|^{3/2}/t^{1/2}$ and agrees, at any $t>0$, with the proper tail of the
Baik-Rains distribution, previously observed only at long times. The other tail
of $\mathcal{P}$ scales as $-\ln \mathcal{P} \sim |H|^{5/2}/t^{1/2}$ and
coincides with the corresponding tail for the sharp-wedge initial condition.

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The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex