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arXiv · 1004.4742

Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases

J. J. Brey·M. I. Garcia de Soria·P. Maynar
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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.

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J. J. Brey, M. I. Garcia de Soria, P. Maynar. 2010-04-27. Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases. https://doi.org/10.1103/physreve.82.021303

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