Nontrivial velocity distributions in inelastic gases

2001/11/06 by P L Krapivsky, P. L. Krapivsky, E. Ben-Naim +1 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Particle Dynamics in Fluid Flows #cond-mat.soft #cond-mat.stat-mech #nlin.CG #nlin.SI

paper · pdf · doi:10.1088/0305-4470/35/11/103

published as J. Phys. A 35, L147 (2002) · 4 pages, 1 figure

arxiv created 2001/11/06 · openalex publication_date 2002/03/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We study spatially homogeneous inelastic gases using the Boltzmann equation. We consider uniform collision rates and obtain analytical results valid for arbitrary spatial dimension d and arbitrary dissipation coefficient . In the unforced case, we find that the velocity distribution decays algebraically, P ( v , t )~ v -σ , for sufficiently large velocities. The exponent σ( d , ) exhibits nontrivial dependence on the spatial dimension and the dissipation coefficient.

Citations

• Shocklike Dynamics of Inelastic Gases
• Multiscaling in inelastic collisions

Cited by

• Nonlinear transport of tracer particles immersed in a strongly sheared dilute gas with inelastic collisions
• Mathematics of Granular Materials
• Boltzmann equation for dissipative gases in homogeneous states with nonlinear friction

Related

• Scaling, multiscaling, and nontrivial exponents in inelastic collision processes
• Granular Gas Dynamics
• Anomalous velocity distributions in inelastic Maxwell gases
• Power-law velocity distributions in granular gases
• Shocklike Dynamics of Inelastic Gases