2004/09/16 by James W. Dufty, J. W. Dufty, Dufty, J. W. +3
Engineering · Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Granular flow and fluidized beds #Material Dynamics and Properties #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0409415
arxiv created 2004/09/16 · openalex publication_date 2004/09/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Fokker-Planck equation for a heavy particle in a granular fluid is derived from the Liouville equation. The host fluid is assumed to be in its homogeneous cooling state and all interactions are idealized as smooth, inelastic hard spheres. The similarities and differences between the Fokker-Planck equation for elastic and inelastic collisions are discussed in detail. Although the fluctuation-dissipation relation is violated and the reference fluid is time dependent, it is shown that diffusion occurs at long times for a wide class of initial conditions. The results presented here generalize previous results based on the Boltzmann-Lorentz equation to higher densities.