Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shocks, rarefaction waves, and current fluctuations for anharmonic
  chains   The nonequilibrium dynamics of anharmonic chains is studied by imposing an
initial domain-wall state, in which the two half lattices are prepared in
equilibrium with distinct parameters. We analyse the Riemann problem for the
corresponding Euler equations and, in specific cases, compare with molecular
dynamics. Additionally, the fluctuations of time-integrated currents are
investigated. In analogy with the KPZ equation, their typical fluctuations
should be of size $t^{1/3}$ and have a Tracy-Widom GUE distributed amplitude.
The proper extension to anharmonic chains is explained and tested through
molecular dynamics. Our results are calibrated against the stochastic LeRoux
lattice gas.

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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom