Transport coefficients of d-dimensional inelastic Maxwell models
| dc.creator | Santos, Andres | |
| dc.date | 2002-04-03 | |
| dc.date | 2002-10-17 | |
| dc.date.accessioned | 2026-07-07T02:44:54Z | |
| dc.date.available | 2026-07-07T02:44:54Z | |
| dc.description | Due to the mathematical complexity of the Boltzmann equation for inelastic hard spheres, a kinetic model has recently been proposed whereby the collision rate (which is proportional to the relative velocity for hard spheres) is replaced by an average velocity-independent value. The resulting inelastic Maxwell model has received a large amount of recent interest, especially in connection with the high energy tail of homogeneous states. In this paper the transport coefficients of inelastic Maxwell models in d dimensions are derived by means of the Chapman-Enskog method for unforced systems as well as for systems driven by a Gaussian thermostat and by a white noise thermostat. Comparison with known transport coefficients of inelastic hard spheres shows that their dependence on inelasticity is captured by the inelastic Maxwell models only in a mild qualitative way. Paradoxically, a much simpler BGK-like model kinetic equation is closer to the results for inelastic hard spheres than the inelastic Maxwell model | |
| dc.description | 29 pages, 7 figures; Elsevier style; Some equations and figures corrected; Accepted for publication in Physica A | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0204071 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0204071 | |
| dc.identifier | Physica A 321, 442-466 (2003) | |
| dc.identifier | doi:10.1016/S0378-4371(02)01005-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19118 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Transport coefficients of d-dimensional inelastic Maxwell models | |
| dc.type | text |