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Energy and number of collisions fluctuations in inelastic gases

arXiv:cond-mat/0510628 · doi:10.1016/j.physa.2006.08.032

Abstract

We study by numerical simulations the two-dimensional Inelastic Maxwell Model (IMM), and show how the inelasticity of collisions together with the fluctuations of the number of collisions undergone by a particle lead to energy fluctuations that decay like a power-law. These fluctuations are associated to a shrinking of the available phase space. We find the asymptotic scaling of these energy fluctuations and show how they affect the tail of the velocity distribution during long time intervals.

4 pages, 3 figures