Fluctuation relations and coarse-graining
| dc.creator | Rahav, Saar | |
| dc.creator | Jarzynski, Christopher | |
| dc.date | 2007-08-17 | |
| dc.date | 2007-09-19 | |
| dc.date.accessioned | 2026-07-07T08:30:17Z | |
| dc.date.available | 2026-07-07T08:30:17Z | |
| dc.description | We consider the application of fluctuation relations to the dynamics of coarse-grained systems, as might arise in a hypothetical experiment in which a system is monitored with a low-resolution measuring apparatus. We analyze a stochastic, Markovian jump process with a specific structure that lends itself naturally to coarse-graining. A perturbative analysis yields a reduced stochastic jump process that approximates the coarse-grained dynamics of the original system. This leads to a non-trivial fluctuation relation that is approximately satisfied by the coarse-grained dynamics. We illustrate our results by computing the large deviations of a particular stochastic jump process. Our results highlight the possibility that observed deviations from fluctuation relations might be due to the presence of unobserved degrees of freedom. | |
| dc.description | 19 pages, 6 figures, very minor changes | |
| dc.identifier | https://arxiv.org/abs/0708.2437 | |
| dc.identifier | http://arxiv.org/abs/0708.2437 | |
| dc.identifier | J. Stat. Mech. (2007) P09012 | |
| dc.identifier | doi:10.1088/1742-5468/2007/09/P09012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138204 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Fluctuation relations and coarse-graining | |
| dc.type | text |