James W Dufty and J Javier Brey 2005 New J. Phys. 7 20 doi:10.1088/1367-2630/7/1/020
Brownian motion in a granular fluid
Focus on Brownian Motion and Diffusion in the 21st CenturyJames W Dufty1 and J Javier Brey2
Show affiliationsPart of Focus on Brownian Motion and Diffusion in the 21st Century
The Fokker–Planck equation for a heavy particle in a granular fluid is derived from the Liouville equation. The host fluid is assumed to be in its homogeneous cooling state and all interactions are idealized as smooth, inelastic hard spheres. The similarities and differences between the Fokker–Planck equation for elastic and inelastic collisions are discussed in detail. Although the fluctuation–dissipation relation is violated and the reference fluid is time-dependent, it is shown that diffusion occurs at long times for a wide class of initial conditions. The results presented here generalize previous results based on the Boltzmann–Lorentz equation to higher densities.
- PACS
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05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
- Subjects
- Dates
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Issue 1 (January 2005)
Received 6 September 2004
Published 31 January 2005
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Brownian motion in a granular fluid
James W Dufty and J Javier Brey 2005 New J. Phys. 7 20
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