Truncated Lévy distributions in an inelastic gas

R. Lambiotte; L. Brenig

doi:10.1016/j.physleta.2005.07.030

Truncated Lévy 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.

Original language	English
Pages (from-to)	309-313
Number of pages	5
Journal	Physics Letters. A
Volume	345
Issue number	4-6
DOIs	https://doi.org/10.1016/j.physleta.2005.07.030
Publication status	Published - 3 Oct 2005

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title = "Truncated L{\'e}vy distributions in an inelastic gas",

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 L{\'e}vy distributions for the velocities.",

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AU - Brenig, L.

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AB - 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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JO - Physics Letters. A

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Truncated Lévy distributions in an inelastic gas

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