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.
A non-Maxwellian steady distribution for one-dimensional granular media / Benedetto, Dario; Caglioti, Emanuele; J. A., Carrillo; Pulvirenti, Mario. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 91,5/6:(1998), pp. 979-990. [10.1023/A:1023032000560]
A non-Maxwellian steady distribution for one-dimensional granular media
BENEDETTO, Dario;CAGLIOTI, Emanuele;PULVIRENTI, Mario
1998
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.File allegati a questo prodotto
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