Ring Kinetic Theory for an Idealized Granular Gas

Details Ring Kinetic Theory for an Idealized Granular Gas Ring Kinetic Theory for an Idealized Granular Gas

1997-06-03

arxiv.org/abs/cond-mat/9706020v1

Physics

Condensed Matter

Statistical Mechanics

24 pages, Latex, 3 figures

Scientific paper

The dynamics of inelastic hard spheres is described in terms of the binary collision expansion, yielding the corresponding pseudo-Liouville equation and BBGKY hierarchy for the reduced distribution functions. Based on cluster expansion techniques we derive the Boltzmann and ring kinetic equations for inelastic hard spheres. In the simple ring approximation, we calculate the structure factor of vorticity fluctuations in a freely evolving, dilute granular gas. The kinetic theory result agrees with the result, derived previously from fluctuating hydrodynamics. In the limit of incompressible flow, this structure factor alone determines the spatial velocity correlations, which are of dynamic origin and include long range $r^{-d}$-behavior. The analytic results are compared with MD simulations.

Affiliated with

Also associated with

No associations

Rating

Ring Kinetic Theory for an Idealized Granular Gas 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 Ring Kinetic Theory for an Idealized Granular Gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ring Kinetic Theory for an Idealized Granular Gas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-117065