Article
Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases
Author/s | Brey Abalo, José Javier
García de Soria Lucena, María Isabel Maynar Blanco, Pablo |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2010 |
Deposit Date | 2020-05-20 |
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 nonhydrodynamic ... 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 nonhydrodynamic 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 |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | Grant No. FIS2008-01339 |
Citation | Brey Abalo, J.J., García de Soria Lucena, M.I. y Maynar Blanco, P. (2010). Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases. Physical Review E, 82 (2), 021303-1-021303-4. |
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pubPhysRevE.82.021303.pdf | 122.7Kb | [PDF] | View/ | |