Velocity-correlation distributions in granular systems

Details Velocity-correlation distributions in granular systems Velocity-correlation distributions in granular systems

2008-06-24

arxiv.org/abs/0806.3919v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 7 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Velocity-correlation distributions in granular systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Velocity-correlation distributions in granular systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Velocity-correlation distributions in granular systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-97935