Truncated Levy distributions in an inelastic gas

R. Lambiotte; L. Brenig

doi:10.1016/j.physleta.2005.07.030

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arXiv · cond-mat/0507573

Truncated Levy distributions in an inelastic gas

R. Lambiotte·L. Brenig

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Abstract

We study a one-dimensional model for granular gases, the so-called Inelastic Maxwell Model. We show theoretically the existence of stationary solutions of the unforced case, that are characterized by an infinite average energy per particle. Moreover, we verify the quasi-stationarity of these states by performing numerical simulations with a finite number of particles, thereby highlighting truncated Lévy distributions for the velocities.

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R. Lambiotte, L. Brenig. 2005-10-17. Truncated Levy distributions in an inelastic gas. https://doi.org/10.1016/j.physleta.2005.07.030

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