An approximate solution to the Boltzmann equation for vibrated granular disks

Details An approximate solution to the Boltzmann equation for vibrated granular disks An approximate solution to the Boltzmann equation for vibrated granular disks

2000-02-22

arxiv.org/abs/cond-mat/0002347v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 6 figures, REVTeX4b3

Scientific paper

The behaviour of the lower order moments of the velocity distribution function for a system of inelastic granular disks driven by vertical vibrations is studied using a kinetic theory. A perturbative kinetic theory for vibro-fluidised beds was proposed by Kumaran (JFM, v. 364, 163). A scheme to generalise this theory to higher orders in the moments is presented here. With such a method it is possible to obtain an analytical solution to the moments of the distribution function up to third order.

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