Bulk diffusion in a system with site disorder
| dc.creator | Quastel, Jeremy | |
| dc.date | 2006-01-06 | |
| dc.date | 2006-11-21 | |
| dc.date.accessioned | 2026-07-07T06:58:35Z | |
| dc.date.available | 2026-07-07T06:58:35Z | |
| dc.description | We consider a system of random walks in a random environment interacting via exclusion. The model is reversible with respect to a family of disordered Bernoulli measures. Assuming some weak mixing conditions, it is shown that, under diffusive scaling, the system has a deterministic hydrodynamic limit which holds for almost every realization of the environment. The limit is a nonlinear diffusion equation with diffusion coefficient given by a variational formula. The model is nongradient and the method used is the ``long jump'' variation of the standard nongradient method, which is a type of renormalization. The proof is valid in all dimensions. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117906000000322 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0601124 | |
| dc.identifier | http://arxiv.org/abs/math/0601124 | |
| dc.identifier | Annals of Probability 2006, Vol. 34, No. 5, 1990-2036 | |
| dc.identifier | doi:10.1214/009117906000000322 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107415 | |
| dc.subject | Probability | |
| dc.subject | 60K37, 60K35, 82C44 (Primary) | |
| dc.title | Bulk diffusion in a system with site disorder | |
| dc.type | text |