Publication: Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles
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2000-10
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Springer-Verlag
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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 stimulations confirm our results and show exponential behavior in the high-energy tails.
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© Springer-Verlag 2000. The authors thank to A. Zippelius, T. Aspelmeier, P. Müller,
and A. Santos for useful discussions. M. H. acknowledges
financial support by the DFG through SFB 345 (Germany), and J. A. G. O. and R. B. from DGES number PB97-0076 (Spain)
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