The granular phase diagram

1996/09/10 by Sergei E. Esipov, Thorsten Poeschel, Thorsten Pöschel · 8 citations
Engineering · Materials Science · Physics and Astronomy · #Granular flow and fluidized beds #Material Dynamics and Properties #Particle Dynamics in Fluid Flows #cond-mat

paper · pdf · doi:10.1007/bf02183630

published as J. Stat. Phys., Vol. 86, 1385 (1997) · 15 pages, 4 figures

arxiv created 1996/09/10 · openalex publication_date 1997/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The kinetic energy distribution function satisfying the Boltzmann equation is studied analytically and numerically for a system of inelastic hard spheres in the case of binary collisions. Analytically, this function is shown to have a similarity form in the simple cases of uniform or steady-state flows. This determines the region of validity of hydrodynamic description. The latter is used to construct the phase diagram of granular systems, and discriminate between clustering instability and inelastic collapse. The molecular dynamics results support analytical results, but also exhibit a novel fluctuational breakdown of mean-field descriptions.

Cited by

• Spatial correlations in compressible granular flows
• Symmetry breaking and coarsening of clusters in a prototypical driven granular gas
• Hydrodynamics and transport coefficients for dilute granular gases
• Orientational Correlation and Velocity Distributions in Uniform Shear Flow of a Dilute Granular Gas
• Velocity distribution and the effect of wall roughness in granular Poiseuille flow
• Symmetry-breaking instability in a prototypical driven granular gas
• Oscillatory instability in a driven granular gas
• Validity of the Boltzmann equation to describe low-density granular systems