2006/10/04 by J. Piasecki, J. Talbot, Pascal Viot +1 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Angular velocity #Boltzmann equation #Brownian motion #Classical mechanics #Computer science #Distribution (mathematics) #Gaussian #Geology #Granular flow and fluidized beds #Inelastic collision #Limit (mathematics) #Material Dynamics and Properties #Mathematical analysis #Mathematics #Mechanics #Particle (ecology) #Particle Dynamics in Fluid Flows #Physics #Planar #Quantum mechanics #Statistical physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.75.051307
10 Pages, 9 Figures
arxiv created 2006/10/04 · openalex publication_date 2007/05/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The kinetics of a granular planar rotator with a fixed center undergoing inelastic collisions with bath particles is analyzed both numerically and analytically by means of the Boltzmann equation. The angular velocity distribution evolves from quasi-Gaussian in the Brownian limit to an algebraic decay in the limit of an infinitely light particle. In addition, we compare this model to that of a planar rotator with a free center and discuss the prospects for experimental confirmation of these results.