Nonextensive diffusion as nonlinear response
| dc.creator | Lutsko, James F. | |
| dc.creator | Boon, Jean Pierre | |
| dc.date | 2005-05-09 | |
| dc.date.accessioned | 2026-07-07T06:20:19Z | |
| dc.date.available | 2026-07-07T06:20:19Z | |
| dc.description | The porous media equation has been proposed as a phenomenological ``non-extensive'' generalization of classical diffusion. Here, we show that a very similar equation can be derived, in a systematic manner, for a classical fluid by assuming nonlinear response, i.e. that the diffusive flux depends on gradients of a power of the concentration. The present equation distinguishes from the porous media equation in that it describes \emph{% generalized classical} diffusion, i.e. with $r/\sqrt Dt$ scaling, but with a generalized Einstein relation, and with power-law probability distributions typical of nonextensive statistical mechanics. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0505216 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0505216 | |
| dc.identifier | Europhys. Lett., 71 (6), pp. 906-911 (2005) | |
| dc.identifier | doi:10.1209/epl/i2005-10179-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95298 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Nonextensive diffusion as nonlinear response | |
| dc.type | text |