Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases

Details Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases

2010-04-27

arxiv.org/abs/1004.4742v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to PRL (13/04/10)

Scientific paper

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.

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