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Velocity distribution in a viscous granular gas

2004/04/20 by Alexandre Rosas, Daniel ben‐Avraham, Daniel ben-Avraham +1 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Granular flow and fluidized beds #Material Dynamics and Properties #Particle Dynamics in Fluid Flows #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.71.032301

arxiv created 2004/04/20 · openalex publication_date 2005/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the velocity relaxation of a viscous one-dimensional granular gas in which neither energy nor momentum is conserved in a collision. Of interest is the distribution of velocities in the gas as it cools, and the time dependence of the relaxation behavior. A Boltzmann equation of instantaneous binary collisions leads to a two-peaked distribution, as do numerical simulations of grains on a line. Of particular note is that in the presence of friction there is no inelastic collapse, so there is no need to invoke additional assumptions such as the quasielastic limit.

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