| Issue |
Math. Model. Nat. Phenom.
Volume 6, Number 4, 2011
Granular hydrodynamics
|
|
|---|---|---|
| Page(s) | 87 - 117 | |
| DOI | https://doi.org/10.1051/mmnp/20116405 | |
| Published online | 18 July 2011 | |
A Langevin Description for Driven Granular Gases
Física Teórica, Universidad de Sevilla,
Apartado de Correos 1065,
E-41080, Sevilla,
Spain
⋆ Corresponding author. E-mail: gsoria@us.es
The study of the fluctuations in the steady state of a heated granular system is reviewed. A Boltzmann-Langevin description can be built requiring consistency with the equations for the one- and two-particle correlation functions. From the Boltzmann-Langevin equation, Langevin equations for the total energy and the transverse velocity field are derived. The existence of a fluctuation-dissipation relation for the transverse velocity field is also studied.
Mathematics Subject Classification: 76P05 / 76T25 / 82B40 / 82C40 / 82D05
Key words: kinetic theory / Boltzmann equation / granular gases / hydrodynamics
© EDP Sciences, 2011
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