On high-energy tails in inelastic gases

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

Physica A: Statistical Mechanics and its Applications, 2006, vol. 366, issue C, 250-254

Abstract: We study the formation of high-energy tails in a one-dimensional kinetic model for granular gases, the so-called Inelastic Maxwell Model. We introduce a time-discretized version of the stochastic process, and show that continuous time implies larger fluctuations of the particles energies. This is due to a statistical relation between the number of inelastic collisions undergone by a particle and its average energy. This feature is responsible for the high-energy tails in the model, as shown by computer simulations and by analytical calculations on a linear Lorentz model.

Keywords: Granular models of complex systems; Random walks and Lévy flights; Kinetic theory (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:366:y:2006:i:c:p:250-254

DOI: 10.1016/j.physa.2005.10.037

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