Hydrodynamic theory for granular gases

Details Hydrodynamic theory for granular gases Hydrodynamic theory for granular gases

2000-01-18

arxiv.org/abs/cond-mat/0001250v2

Physics

Condensed Matter

Statistical Mechanics

10 pages, 9 figures, more about our research in http://www.cec.uchile.cl/cinetica/

Scientific paper

10.1103/PhysRevE.62.2521

A granular gas subjected to a permanent injection of energy is described by means of hydrodynamic equations derived from a moment expansion method. The method uses as reference function not a Maxwellian distribution $f_{\sf M}$ but a distribution $f_0 = \Phi f_{\sf M}$, such that $\Phi$ adds a fourth cumulant $\kappa$ to the velocity distribution. The formalism is applied to a stationary conductive case showing that the theory fits extraordinarily well the results coming from our molecular dynamic simulations once we determine $\kappa$ as a function of the inelasticity of the particle-particle collisions. The shape of $\kappa$ is independent of the size $N$ of the system.

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