1998/03/03 by Twan van Noije, T. P. C. van Noije, M. H. Ernst +2
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Granular flow and fluidized beds #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9803042
14 pages, Latex, 2 figures
arxiv created 1998/03/03 · openalex publication_date 1998/03/03 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the single particle velocity distribution for a granular fluid of inelastic hard spheres or disks, using the Enskog-Boltzmann equation, both for the homogeneous cooling of a freely evolving system and for the stationary state of a uniformly heated system, and explicitly calculate the fourth cumulant of the distribution. For the undriven case, our result agrees well with computer simulations of Brey et al. \citebrey. Corrections due to non-Gaussian behavior on cooling rate and stationary temperature are found to be small at all inelasticities. The velocity distribution in the uniformly heated steady state exhibits a high energy tail ∼ exp(-A c3/2), where c is the velocity scaled by the thermal velocity and A∼ 1/√(\eps) with \eps the inelasticity.