Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases
arXiv:1004.4742 · doi:10.1103/PhysRevE.82.021303
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.
Submitted to PRL (13/04/10)
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Cited by in corpus (13)
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- Collisional rates for the inelastic Maxwell model: application to the divergence of anisotropic high-order velocity moments in the homogeneous cooling state
- High-degree collisional moments of inelastic Maxwell mixtures. Application to the homogeneous cooling and uniform shear flow states
- Exact transport coefficients from the inelastic rough Maxwell model of a granular gas
- Kinetic model for transport in granular mixtures
- Fluctuations in the Uniform Shear Flow state of a granular gas