2014/02/28 by J. Javier Brey, P. Maynar, M. I. García de Soria +1 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Classical mechanics #Distribution (mathematics) #Distribution function #Function (biology) #Gas Dynamics and Kinetic Theory #Geometry #Granular flow and fluidized beds #Homogeneous #Kinetic theory #Mathematical analysis #Mathematics #Mechanics #Monte Carlo method #Particle Dynamics in Fluid Flows #Physics #Scaling #Statistical physics #Statistics #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.89.052209
Accepted in Phys. Rev. E
arxiv created 2014/04/25 · openalex publication_date 2014/05/14 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The hydrodynamic equation governing the homogeneous time evolution of the temperature in a model of confined granular gas is studied by means of the Enskog equation. The existence of a normal solution of the kinetic equation is assumed as a condition for hydrodynamics. Dimensional analysis implies a scaling of the distribution function that is used to determine it in the first Sonine approximation, with a coefficient that evolves in time through its dependence on the temperature. The theoretical predictions are compared to numerical results obtained by the direct simulation Monte Carlo method and a good agreement is found. The relevance of the normal homogeneous distribution function to derive inhomogeneous hydrodynamic equations, for instance using the Champan-Enskog algorithm, is indicated.