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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Résumé

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.

langue originale	Anglais
Pages (de - à)	309-313
Nombre de pages	5
journal	Physics Letters. A
Volume	345
Numéro de publication	4-6
Les DOIs	https://doi.org/10.1016/j.physleta.2005.07.030
Etat de la publication	Publié - 3 oct. 2005

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10.1016/j.physleta.2005.07.030

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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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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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Truncated Lévy distributions in an inelastic gas

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