TY - JOUR

T1 - Truncated Lévy distributions in an inelastic gas

AU - Lambiotte, R.

AU - Brenig, L.

N1 - Copyright 2005 Elsevier B.V., All rights reserved.

PY - 2005/10/3

Y1 - 2005/10/3

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=24344459004&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2005.07.030

DO - 10.1016/j.physleta.2005.07.030

M3 - Article

AN - SCOPUS:24344459004

VL - 345

SP - 309

EP - 313

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 4-6

ER -