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Impact of high-energy tails on granular gas properties

2006/10/19 by Thorsten Poeschel, Thorsten Pöschel, Nikolai V. Brilliantov +2
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Distribution (mathematics) #Distribution function #Granular flow and fluidized beds #Granular material #Heat and Mass Transfer in Porous Media #High-pressure geophysics and materials #Homogeneous #Kinetic energy #Kinetic theory #Materials science #Mathematics #Maxwell–Boltzmann distribution #Mechanics #Nuclear physics #Physics #Plasma #Relaxation (psychology) #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.74.041302

published as Phys. Rev. E 74, 041302 (2006) · 5 pages, 5 figures

openalex publication_date 2006/10/19 · arxiv created 2006/11/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The velocity distribution function of granular gases in the homogeneous cooling state as well as some heated granular gases decays for large velocities as f proportional to exp(-const x v). That is, its high-energy tail is overpopulated as compared with the Maxwell distribution. At the present time, there is no theory to describe the influence of the tail on the kinetic characteristics of granular gases. We develop an approach to quantify the overpopulated tail and analyze its impact on granular gas properties, in particular on the cooling coefficient. We observe and explain anomalously slow relaxation of the velocity distribution function to its steady state.

Citations