English

Hydrodynamic Modes for a Granular Gas from Kinetic Theory

Statistical Mechanics 2009-11-11 v1

Abstract

Small perturbations of the homogeneous cooling state (HCS) for a low density granular gas are described by means of the linearized Boltzmann equation. The spectrum of the generator for this dynamics is shown to contain points corresponding to hydrodynamic excitations. The corresponding eigenvectors and eigenvalues are calculated to Navier-Stokes order and shown to agree with those obtained by the Chapman-Enskog method. The conditions for the hydrodynamic excitations to dominate all other excitations are discussed.

Keywords

Cite

@article{arxiv.cond-mat/0506296,
  title  = {Hydrodynamic Modes for a Granular Gas from Kinetic Theory},
  author = {J. Javier Brey and J. W. Dufty},
  journal= {arXiv preprint arXiv:cond-mat/0506296},
  year   = {2009}
}

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2 figures