Hydrodynamic Modes for Granular Gases
Statistical Mechanics
2009-11-10 v1
Abstract
The eigenfunctions and eigenvalues of the linearized Boltzmann equation for inelastic hard spheres (d=3) or disks (d=2) corresponding to d+2 hydrodynamic modes, are calculated in the long wavelength limit for a granular gas. The transport coefficients are identified and found to agree with those from the Chapman-Enskog solution. The dominance of hydrodynamic modes at long times and long wavelengths is studied via an exactly solvable kinetic model. A collisional continuum is bounded away from the hydrodynamic spectrum, assuring a hydrodynamic description at long times. The bound is closely related to the power law decay of the velocity distribution in the reference homogeneous cooling state.
Keywords
Cite
@article{arxiv.cond-mat/0302170,
title = {Hydrodynamic Modes for Granular Gases},
author = {James W. Dufty and J. Javier Brey},
journal= {arXiv preprint arXiv:cond-mat/0302170},
year = {2009}
}