Between equilibrium fluctuations and Eulerian scaling: Perturbation of equilibrium for a class of deposition models
| dc.creator | Toth, Balint | |
| dc.creator | Valko, Benedek | |
| dc.date | 2002-01-03 | |
| dc.date | 2002-01-07 | |
| dc.date.accessioned | 2026-07-07T04:45:39Z | |
| dc.date.available | 2026-07-07T04:45:39Z | |
| dc.description | We investigate propagation of perturbations of equilibrium states for a wide class of 1D interacting particle systems. The class of systems considered incorporates zero range, $K$-exclusion, mysanthropic, `bricklayers' models, and much more. We do not assume attractivity of the interactions. We apply Yau's relative entropy method rather than coupling arguments. The result is \emph{partial extension} of T. Seppäläinen's recent paper. For $0<β<1/5$ fixed, we prove that, rescaling microscopic space and time by $N$, respectively $N^{1+β}$, the macroscopic evolution of perturbations of microscopic order $N^{-β}$ of the equilibrium states is governed by Burgers' equation. The same statement should hold for $0<β<1/2$ as in Seppäläinen's cited paper, but our method does not seem to work for $β\ge1/5$. | |
| dc.description | 30 pages version 2: some typos corrected, some remarks added | |
| dc.identifier | https://arxiv.org/abs/math/0201016 | |
| dc.identifier | http://arxiv.org/abs/math/0201016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63032 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.title | Between equilibrium fluctuations and Eulerian scaling: Perturbation of equilibrium for a class of deposition models | |
| dc.type | text |