Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lyapunov Exponent Pairing for a Thermostatted Hard-Sphere Gas under
  Shear in the Thermodynamic Limit   We demonstrate why for a sheared gas of hard spheres, described by the SLLOD
equations with an iso-kinetic Gaussian thermostat in between collisions,
deviations of the conjugate pairing rule for the Lyapunov spectrum are to be
expected, employing a previous result that for a large number of particles $N$,
the iso-kinetic Gaussian thermostat is equivalent to a constant friction
thermostat, up to $1/\sqrt{N}$ fluctuations. We also show that these deviations
are at most of the order of the fourth power in the shear rate.

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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: math
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: chem-ph