Non-Gaussian Velocity Distribution Function in a Vibrating Granular Bed

2004/04/30 by Atsushi Kawarada, Hisao Hayakawa · 42 citations
Engineering · Physics and Astronomy · #Container (type theory) #Distribution (mathematics) #Distribution function #Exponential function #Function (biology) #Granular flow and fluidized beds #Granular material #Heat and Mass Transfer in Porous Media #Particle Dynamics in Fluid Flows #Vibration #cond-mat.stat-mech

paper · pdf · doi:10.1143/jpsj.73.2037

published in Journal of the Physical Society of Japan 73(8), 2037-2040 (Physical Society of Japan) · 4 pages, 4 figures. to be published in Journal of Physical Society of Japan Vol.73 No.8

arxiv created 2004/06/22 · openalex publication_date 2004/08/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The simulation of granular particles in a quasi two-dimensional container under the vertical vibration as an experimental accessible model for granular gases is performed. The velocity distribution function obeys an exponential-like function during the vibration and deviates from the exponential function in free-cooling states. It is confirmed that this exponential-like distribution function is produced by Coulomb's friction force. A Langevin equation with Coulomb's friction is proposed to describe the motion of such the system.

Citations

• Force Distribution in a Granular Medium
• Bifurcations of a driven granular system under gravity
• The granular phase diagram
• Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models)
• Velocity statistics in excited granular media
• Effects of Velocity Correlation on Early Stage of Free Cooling Process of Inelastic Hard Sphere System
• A discrete numerical model for granular assemblies
• Collisional Granular Flow as a Micropolar Fluid