Influence of correlations on the velocity statistics of scalar granular gases

Details Influence of correlations on the velocity statistics of scalar granular gases Influence of correlations on the velocity statistics of scalar granular gases

2001-11-05

arxiv.org/abs/cond-mat/0111066v1

Physics

Condensed Matter

Statistical Mechanics

Latex file: 6 pages, 5 figures (.eps). See also http://axtnt3.phys.uniroma1.it/Maxwell

Scientific paper

10.1209/epl/i2002-00600-6

The free evolution of inelastic particles in one dimension is studied by means of Molecular Dynamics (MD), of an inelastic pseudo-Maxwell model and of a lattice model, with emphasis on the role of spatial correlations. We present an exact solution of the 1d granular pseudo-Maxwell model for the scaling distribution of velocities and discuss how this model fails to describe correctly the homogeneous cooling stage of the 1d granular gas. Embedding the pseudo-Maxwell gas on a lattice (hence allowing for the onset of spatial correlations), we find a much better agreement with the MD simulations even in the inhomogeneous regime. This is seen by comparing the velocity distributions, the velocity profiles and the structure factors of the velocity field.

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