Abstract
We consider a nonlinear Fokker–Planck equation for a one-dimensional granular medium. This is a kinetic approximation of a system of nearly elastic particles in a thermal bath. We prove that homogeneous solutions tend asymptotically in time toward a unique non-Maxwellian stationary distribution.
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Benedetto, D., Caglioti, E., Carrillo, J.A. et al. A Non-Maxwellian Steady Distribution for One-Dimensional Granular Media. Journal of Statistical Physics 91, 979–990 (1998). https://doi.org/10.1023/A:1023032000560
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DOI: https://doi.org/10.1023/A:1023032000560