Hydrodynamics for inelastic Maxwell model
Statistical Mechanics
2016-08-31 v2
Abstract
Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a function of the restitution coefficient , which cannot be defined for small as a result of the high energy tail of the velocity distribution function obeying a power law. The dispersion relations for the linearized equation around a homogeneous cooling state have been obtained.
Cite
@article{arxiv.cond-mat/0209630,
title = {Hydrodynamics for inelastic Maxwell model},
author = {Hisao Hayakawa},
journal= {arXiv preprint arXiv:cond-mat/0209630},
year = {2016}
}
Comments
37 pages, 3 figures