Non-Gaussian Velocity Distribution Function in a Vibrating Granular Bed
arXiv:cond-mat/0404633 · doi:10.1143/JPSJ.73.2037
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.
4 pages, 4 figures. to be published in Journal of Physical Society of Japan Vol.73 No.8
References in corpus (5)
- Collisional Granular Flow as a Micropolar Fluid
- Steady state velocity distributions of an oscillated granular gas
- Velocity Distribution of Inelastic Granular Gas in Homogeneous Cooling State
- Bifurcations of a driven granular system under gravity
- Effects of Velocity Correlation on Early Stage of Free Cooling Process of Inelastic Hard Sphere System
Cited by in corpus (20)
- Tuned, driven, and active soft matter
- Brownian motion with dry friction: Fokker-Planck approach
- Langevin equation with Coulomb friction
- The effect of Coulombic friction on spatial displacement statistics
- Asymptotic derivation of Langevin-like equation with non-Gaussian noise and its analytical solution
- Simulation of granular jet: Is granular flow really a "perfect fluid?"
- Roles of Dry Friction in Fluctuating Motion of Adiabatic Piston
- Nonequilibrium dynamics of a pure dry friction model subjected to coloured noise
- Simulation of cohesive fine powders under a plane shear
- Granular rotor as a probe for a non-equilibrium bath
- Effect of dynamic and static friction on an asymmetric granular piston
- On large deviation properties of Brownian motion with dry friction
- Granular Fluids with Solid Friction and Heating
- Velocity and displacement statistics in a stochastic model of nonlinear friction showing bounded particle speed
- Non-equilibrium steady states, coexistence and criticality in driven quasi-two-dimensional granular matter
- Single Particle Brownian Motion with Solid Friction
- Numerical solutions of Fokker-Planck equations with drift-admitting jumps
- Slow Steady-Shear of Plastic Bead Rafts
- Ballistic propagation of density correlations and excess wall forces in quenched granular media
- Understanding Brownian yet non-Gaussian diffusion via long-range molecular interactions