Fluctuation relations for anomalous dynamics
| dc.creator | Chechkin, A. V. | |
| dc.creator | Klages, R. | |
| dc.date | 2009-03-20 | |
| dc.date.accessioned | 2026-07-07T12:55:29Z | |
| dc.date.available | 2026-07-07T12:55:29Z | |
| dc.description | We consider work fluctuation relations (FRs) for generic types of dynamics generating anomalous diffusion: Levy flights, long-correlated Gaussian processes and time-fractional kinetics. By combining Langevin and kinetic approaches we calculate the probability distributions of mechanical and thermodynamical work in two paradigmatic nonequilibrium situations, respectively: a particle subject to a constant force and a particle in a harmonic potential dragged by a constant force. We check the transient FR for two models exhibiting superdiffusion, where a fluctuation-dissipation relation does not exist, and for two other models displaying subdiffusion, where there is a fluctuation-dissipation relation. In the two former cases the conventional transient FR is not recovered, whereas in the latter two it holds either exactly or in the long-time limit. | |
| dc.description | Letter, 9 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0903.3571 | |
| dc.identifier | http://arxiv.org/abs/0903.3571 | |
| dc.identifier | J.Stat.Mech. L03002 (2009) | |
| dc.identifier | doi:10.1088/1742-5468/2009/03/L03002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224267 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Fluctuation relations for anomalous dynamics | |
| dc.type | text |