We consider the time evolution of a disk under the action of a constant force and interacting with a free gas in the mean-field approximation. Letting V-0 > 0 be the initial velocity of the disk and V-infinity > 0 its equilibrium velocity, namely the one for which the external field is balanced by the friction force exerted by the background, we show that, if V-infinity - V-0 is positive and sufficiently small, then the disk reaches V-infinity with the power law t(-(d+2)), d = 1, 2, 3 being the dimension of the physical space. The reason for this behavior is the long tail memory due to recollisions. Any Markovian approximation (or simply neglecting the recollisions) yields an exponential approach to equilibrium.
Caprino, S., Marchioro, C., & Pulvirenti, M. (2006). Approach to equilibrium in a microscopic model of friction. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 264(1), 167-189.
Tipologia: | Articolo su rivista |
Citazione: | Caprino, S., Marchioro, C., & Pulvirenti, M. (2006). Approach to equilibrium in a microscopic model of friction. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 264(1), 167-189. |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00220-006-1542-7 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2006 |
Titolo: | Approach to equilibrium in a microscopic model of friction |
Autori: | |
Autori: | Caprino, S; Marchioro, C; Pulvirenti, M |
Appare nelle tipologie: | 01 - Articolo su rivista |