Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Largest Lyapunov Exponent for Many Particle Systems at Low Densities   The largest Lyapunov exponent $\lambda^+$ for a dilute gas with short range
interactions in equilibrium is studied by a mapping to a clock model, in which
every particle carries a watch, with a discrete time that is advanced at
collisions. This model has a propagating front solution with a speed that
determines $\lambda^+$, for which we find a density dependence as predicted by
Krylov, but with a larger prefactor. Simulations for the clock model and for
hard sphere and hard disk systems confirm these results and are in excellent
mutual agreement. They show a slow convergence of $\lambda^+$ with increasing
particle number, in good agreement with a prediction by Brunet and Derrida.

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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio