Velocity-correlation distributions in granular systems
| dc.creator | Burdeau, Alexis | |
| dc.creator | Viot, Pascal | |
| dc.date | 2008-06-24 | |
| dc.date.accessioned | 2026-07-07T09:46:25Z | |
| dc.date.available | 2026-07-07T09:46:25Z | |
| dc.description | We investigate the velocity-correlation distributions after $n$ collisions of a tagged particle undergoing binary collisions. Analytical expressions are obtained in any dimension for the velocity-correlation distribution after the first-collision as well as for the velocity-correlation function after an infinite number of collisions, in the limit of Gaussian velocity distributions. It appears that the decay of the first-collision velocity-correlation distribution for negative argument is exponential in any dimension with a coefficient that depends on the mass and on the coefficient of restitution. We also obtained the velocity-correlation distribution when the velocity distributions are not Gaussian: by inserting Sonine corrections of the velocity distributions, we derive the corrections to the velocity-correlation distribution which agree perfectly with a DSMC (Direct Simulation Monte Carlo) simulation. We emphasize that these new quantities can be easily obtained in simulations and likely in experiments: they could be an efficient probe of the local environment and of the degree of inelasticity of the collisions. | |
| dc.description | 11 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0806.3919 | |
| dc.identifier | http://arxiv.org/abs/0806.3919 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163522 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Velocity-correlation distributions in granular systems | |
| dc.type | text |