Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles

Details Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles

2000-04-05

arxiv.org/abs/cond-mat/0004079v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 13 eps figures, to be published in Granular Matter

Scientific paper

The time dependence of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastically colliding spheres is investigated by kinetic theory. We determine the full time dependence of the coefficients of an expansion around the Gaussian state in Generalized Laguerre polynomials. Approximating this system of equations to sixth order, we find that the asymptotic state, where the mean energy T follows Haff's law with time independent cooling rate, is reached within a few collisions per particle. Two-dimensional molecular dynamics simulations confirm our results and show exponential behavior in the high-energy tails.

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