Artículo
Fluctuating hydrodynamics for dilute granular gases
Autor/es | Brey Abalo, José Javier
Maynar Blanco, Pablo García de Soria Lucena, María Isabel |
Departamento | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Fecha de publicación | 2009 |
Fecha de depósito | 2020-05-19 |
Publicado en |
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Resumen | Starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelastic hard
spheres or disks, a Boltzmann-Langevin equation for the one-particle distribution function of the homogeneous
cooling ... Starting from the kinetic equations for the fluctuations and correlations of a dilute gas of inelastic hard spheres or disks, a Boltzmann-Langevin equation for the one-particle distribution function of the homogeneous cooling state is constructed. This equation is the linear Boltzmann equation with a fluctuating white-noise term. Balance equations for the fluctuating hydrodynamic fields are derived. New fluctuating forces appear as compared with the elastic limit. The particular case of the transverse velocity field is investigated in detail. Its fluctuations can be described by means of a Langevin equation, but exhibiting two main differences with the Landau-Lifshitz theory: the noise is not white, and its second moment is not determined by the shear viscosity. This shows that the fluctuation-dissipation relations for molecular fluids do not straightforwardly carry over to inelastic gases. The theoretical predictions are shown to be in good agreement with molecular-dynamics simulation results. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | Grant No. FIS2008-01339 |
Cita | Brey Abalo, J.J., Maynar Blanco, P. y García de Soria Lucena, M.I. (2009). Fluctuating hydrodynamics for dilute granular gases. Physical Review E, 79 (5), 051305-1-051305-13. |
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