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DY: Fachverband Dynamik und Statistische Physik
DY 30: Active Matter III (joint session DY/BP/CPP)
DY 30.2: Vortrag
Dienstag, 17. März 2020, 14:15–14:30, ZEU 160
Irreversibility in Active Matter Systems: Fluctuation Theorem and Mutual Information — Lennart Dabelow2, •Stefano Bo1, and Ralf Eichhorn3 — 1Max Planck Institute for the Physics of Complex Systems — 2Universität Bielefeld — 3Nordita, Royal Institute of Technology and Stockholm University
We consider a Brownian particle, which, in addition to being in contact with a thermal bath, is driven by active fluctuations. These active fluctuations do not fulfill a fluctuation-dissipation relation and therefore play the role of a non-equilibrium environment. Using an Ornstein-Uhlenbeck process as a model for the active fluctuations, we derive the path probability of the Brownian particle subject to both, thermal and active noise. From the case of passive Brownian motion, it is well-known that the log-ratio of path probabilities for observing a certain particle trajectory forward in time versus observing its time-reserved twin trajectory quantifies the entropy production in the thermal environment. We calculate this path probability ratio for active Brownian motion and derive a generalized “entropy production”, which fulfills an integral fluctuation theorem. We show that those parts of this “entropy production”, which are different from the usual dissipation of heat in the thermal environment, can be associated with the mutual information between the particle trajectory and the history of the non-equilibrium environment.