Velocity Distributions in Homogeneously Cooling and Heated Granular Fluids
| dc.creator | van Noije, T. P. C. | |
| dc.creator | Ernst, M. H. | |
| dc.date | 1998-03-03 | |
| dc.date.accessioned | 2026-07-07T03:10:04Z | |
| dc.date.available | 2026-07-07T03:10:04Z | |
| dc.description | We study the single particle velocity distribution for a granular fluid of inelastic hard spheres or disks, using the Enskog-Boltzmann equation, both for the homogeneous cooling of a freely evolving system and for the stationary state of a uniformly heated system, and explicitly calculate the fourth cumulant of the distribution. For the undriven case, our result agrees well with computer simulations of Brey et al. \cite{brey}. Corrections due to non-Gaussian behavior on cooling rate and stationary temperature are found to be small at all inelasticities. The velocity distribution in the uniformly heated steady state exhibits a high energy tail $\sim \exp(-A c^{3/2})$, where $c$ is the velocity scaled by the thermal velocity and $A\sim 1/\sqrt{\eps}$ with $\eps$ the inelasticity. | |
| dc.description | 14 pages, Latex, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9803042 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9803042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28129 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Velocity Distributions in Homogeneously Cooling and Heated Granular Fluids | |
| dc.type | text |