Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 41: Brownian Motion, Stochastic Processes, Transport II
DY 41.4: Vortrag
Freitag, 18. März 2011, 11:00–11:15, HÜL 186
Fluctuation relations for anomalous dynamics — Aleksei V. Chechkin1 and •Rainer Klages2 — 1Institute for Theoretical Physics NSC KIPT, Kharkov, Ukraine — 2Queen Mary University of London, School of Mathematical Sciences, London, UK
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 [1].
[1] A.V.Chechkin, R.Klages, J.Stat.Mech. L03002 (2009)