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DY: Fachverband Dynamik und Statistische Physik
DY 43: Stochastic thermodynamics and information processing
DY 43.7: Vortrag
Mittwoch, 14. März 2018, 11:30–11:45, BH-N 243
Relations between long-time and finite-time fluctuation theorems in 2-level system under periodic drive — •Ivan Khaymovich1, 2 and Avinash Mandaiya3 — 1Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany — 2Institute for Physics of Microstructures, Russian Academy of Sciences, 603950 Nizhny Novgorod, GSP-105, Russia — 3Indian Institute of Science, Bangalore 560012, India
Mesoscopic systems driven out of equilibrium experience large fluctuations of a stochastic entropy production. Fluctuation relations (FR) taking into account these fluctuation and generalizing the second law of thermodynamics are of particular interest for last decades. Gallavotti-Cohen relation being a remarkable example of long-time (LT) FR focuses on the large deviation regime and it is insensitive to initial conditions, while Crooks relation works with finite-time (FT) protocols and needs a special initial conditions both for forward and reversed system evolution in time. In general all FR are based on a some kind of reversion of a time-dependent protocol applied to a system. These FR are significantly simplified for the protocols symmetric to that reversion operation. In the present work we find sufficient conditions for asymmetric protocols for which simplified versions of LT and FT FR are still valid and derive the relation between these conditions. We give several examples of these protocols in a simplest case of 2-level system showing the link between LT and FT fluctuation relations.