On the Gallavotti-Cohen symmetry for stochastic systems
| dc.creator | Depken, Martin | |
| dc.date | 2002-09-12 | |
| dc.date | 2003-10-23 | |
| dc.date.accessioned | 2026-07-07T02:47:15Z | |
| dc.date.available | 2026-07-07T02:47:15Z | |
| dc.description | Considering Langevin dynamics we derive the general form of the stochastic differential that satisfies the Gallavotti-Cohen symmetry. This extends the work previously done by Kurchan, and Lebowitz and Spohn on such systems, and we treat systems with and without inertia in a unified manner. We further shown that for systems with a time-reversal invariant steady state there exists a stochastic differential for which then the Gallavotti-Cohen symmetry, and all its consequences, are valid for finite times. For these systems the differential can be seen as the direct analogy of the Gibbs-entropy creation along paths in deterministic systems. It differs from previously studied differentials in that it identically zero for equilibrium systems while on average strictly positive for non-equilibrium system. When the steady state is not time-reversal invariant the Gallavotti-Cohen symmetry is asymptotically valid in the usual long time limit. | |
| dc.description | 10 pages, no figures, substantial rewrite | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0209284 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0209284 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19939 | |
| dc.subject | Statistical Mechanics | |
| dc.title | On the Gallavotti-Cohen symmetry for stochastic systems | |
| dc.type | text |