Truncated Levy distributions in an inelastic gas

Details Truncated Levy distributions in an inelastic gas Truncated Levy distributions in an inelastic gas

2005-07-25

arxiv.org/abs/cond-mat/0507573v2

Physics Letters A, 345 (2005) 309-313

Physics

Condensed Matter

Statistical Mechanics

7 pages, to appear in Phys. Lett. A

Scientific paper

10.1016/j.physleta.2005.07.030

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 L\'evy distributions for the velocities.

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