Velocity Distribution in a Viscous Granular Gas
arXiv:cond-mat/0404405 · doi:10.1103/PhysRevE.71.032301
Abstract
We investigate the velocity relaxation of a viscous one-dimensional granular gas, that is, one in which neither energy nor momentum is conserved in a collision. Of interest is the distribution of velocities in the gas as it cools, and the time dependence of the relaxation behavior. A Boltzmann equation of instantaneous binary collisions leads to a two-peaked distribution with each peak relaxing to zero velocity as 1/t while each peak also narrows as 1/t. Numerical simulations of grains on a line also lead to a double-peaked distribution that narrows as 1/t. A Maxwell approximation leads to a single-peaked distribution about zero velocity with power-law wings. This distribution narrows exponentially. In either case, the relaxing distribution is not of Maxwell-Boltzmann form.
References in corpus (9)
- Influence of correlations on the velocity statistics of scalar granular gases
- Velocity Tails for Inelastic Maxwell Models
- Velocity Distributions and Correlations in Homogeneously Heated Granular Media
- Steady state velocity distributions of an oscillated granular gas
- Pulse Dynamics in a Chain of Granules With Friction
- On the velocity distributions of the one-dimensional inelastic gas
- Nontrivial Velocity Distributions in Inelastic Gases
- Self-Similarity in Random Collision Processes
- Dynamics of Two Granules