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Energy and number of collision fluctuations in inelastic gases

R. Lambiotte, Marcel Ausloos, L. Brenig and J.M. Salazar

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 1, 227-232

Abstract: The two-dimensional Inelastic Maxwell Model (IMM) is studied by numerical simulations. It is shown how the inelasticity of collisions together with the fluctuations of the number of collisions undergone by a particle lead to energy fluctuations. 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. We stress that these fluctuations relax like power laws on much slower time scales than the usual exponential relaxations taking place in kinetic theory.

Keywords: Granular models of complex systems; Random walks and Lévy flights; Kinetic theory (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:1:p:227-232

DOI: 10.1016/j.physa.2006.08.032

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