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

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

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/16234

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0004079
 http://arxiv.org/abs/cond-mat/0004079

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arXiv