Article
Fluctuating Navier-Stokes equations for inelastic hard spheres or disks
Author/s | Brey Abalo, José Javier
Maynar Blanco, Pablo García de Soria Lucena, María Isabel |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2011 |
Deposit Date | 2020-05-25 |
Published in |
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Abstract | Starting from the fluctuating Boltzmann equation for smooth inelastic hard spheres or disks, closed equations for the fluctuating hydrodynamic fields to Navier-Stokes order are derived. This requires deriving constitutive ... Starting from the fluctuating Boltzmann equation for smooth inelastic hard spheres or disks, closed equations for the fluctuating hydrodynamic fields to Navier-Stokes order are derived. This requires deriving constitutive relations for both the fluctuating fluxes and the correlations of the random forces. The former are identified as having the same form as the macroscopic average fluxes and involving the same transport coefficients. On the other hand, the random force terms exhibit two peculiarities as compared with their elastic limit for molecular systems. First, they are not white but have some finite relaxation time. Second, their amplitude is not determined by the macroscopic transport coefficients but involves new coefficients. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España |
Project ID. | Grant No. FIS2008-01339 |
Citation | Brey Abalo, J.J., Maynar Blanco, P. y García de Soria Lucena, M.I. (2011). Fluctuating Navier-Stokes equations for inelastic hard spheres or disks. Physical Review E, 83 (4), 041303-1-041303-13. |
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pubPhysRevE.83.041303.pdf | 286.6Kb | [PDF] | View/ | |