2004/07/31 by Francois Coppex, François Coppex, Michel Droz +1 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Granular flow and fluidized beds #Particle Dynamics in Fluid Flows #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.70.061102
published as Phys. Rev. E 70, 061102 (2004) · 19 pages, 3 eps figures included
openalex publication_date 2004/12/07 · arxiv created 2004/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a dilute gas of hard spheres in dimension d> or =2 that upon collision either annihilate with probability p or undergo an elastic scattering with probability 1-p . For such a system neither mass, momentum, nor kinetic energy is a conserved quantity. We establish the hydrodynamic equations from the Boltzmann equation description. Within the Chapman-Enskog scheme, we determine the transport coefficients up to Navier-Stokes order, and give the closed set of equations for the hydrodynamic fields chosen for the above coarse-grained description (density, momentum, and kinetic temperature). Linear stability analysis is performed, and the conditions of stability for the local fields are discussed.