Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases
Statistical Mechanics
2015-05-18 v1
Abstract
Both the right and left eigenfunctions and eigenvalues of the linearized homogeneous Boltzmann equation for inelastic Maxwell molecules corresponding to the hydrodynamic modes are calculated. Also, some non-hydrodynamic modes are identified. It is shown that below a critical value of the parameter characterizing the inelasticity, one of the kinetic modes decays slower than one of the hydrodynamic ones. As a consequence, a closed hydrodynamic description does not exist in that regime. Some implications of this behavior on the formally computed Navier-Stokes transport coefficients are discussed.
Keywords
Cite
@article{arxiv.1004.4742,
title = {Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases},
author = {J. J. Brey and M. I. Garcia de Soria and P. Maynar},
journal= {arXiv preprint arXiv:1004.4742},
year = {2015}
}
Comments
Submitted to PRL (13/04/10)