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On the validity of the Boltzmann equation to describe low density granular systems

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arxiv cond-mat/0307410 v1 pith:MORLUQ7D submitted 2003-07-17 cond-mat.stat-mech

On the validity of the Boltzmann equation to describe low density granular systems

classification cond-mat.stat-mech
keywords boltzmanndensityequationgranularaccuratelyanalyzedcarlocompared
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The departure of a granular gas in the instable region of parameters from the initial homogeneous cooling state is studied. Results from Molecular Dynamics and from Direct Monte Carlo simulation of the Boltzmann equation are compared. It is shown that the Boltzmann equation accurately predicts the low density limit of the system. The relevant role played by the parallelization of the velocities as time proceeds and the dependence of this effect on the density is analyzed in detail.

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