A NON-MAXWELLIAN STEADY DISTRIBUTION FOR ONE-DIMENSIONAL GRANULAR MEDIA

Authors
BENEDETTO D CAGLIOTI E CARRILLO JA PULVIRENTI M
Citation
D. Benedetto et al., A NON-MAXWELLIAN STEADY DISTRIBUTION FOR ONE-DIMENSIONAL GRANULAR MEDIA, Journal of statistical physics, 91(5-6), 1998, pp. 979-990
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
91
Issue
5-6
Year of publication
1998
Pages
979 - 990
Database
ISI
SICI code
0022-4715(1998)91:5-6<979:ANSDFO>2.0.ZU;2-V
Abstract
We consider a nonlinear Fokker-Planck equation for a one-dimensional g ranular medium. This is a kinetic approximation of a system of nearly elastic particles in a thermal bath. We prove that homogeneous solutio ns tend asymptotically in time toward a unique non-Maxwellian stationa ry distribution.