# BPCPPDYSOE21 – wissenschaftliches Programm

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# BP: Fachverband Biologische Physik

## BP 29: Active Matter 5 - organized by Carsten Beta (Potsdam), Andreas Menzel (Magdeburg) and Holger Stark (Berlin) (joint session DY/BP)

### BP 29.2: Vortrag

### Mittwoch, 24. März 2021, 14:50–15:10, DYb

**Irreversibility of active particles: Fluctuation Theorem and Mutual Information** — Lennart Dabelow^{1}, •Stefano Bo^{2}, and Ralf Eichhorn^{3} — ^{1}Fakultät für Physik, Universität Bielefeld — ^{2}Max Planck Institute for the Physics of Complex Systems — ^{3}Nordita, Royal Institute of Technology and Stockholm University

The defining feature of active particles is that they locally consume energy, which enables them to self-propel and prevents them from equilibrating with their thermal environment. Within the framework of active Ornstein-Uhlenbeck particles we derive the path probability of a particle subject to both, thermal and active noise. By comparing the path probabilities for observing a particle trajectory forward in time versus observing its time-reserved twin trajectory we obtain a generalized "entropy production" for active Brownian motion, 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. We then investigate the time-reversal properties of steady-state trajectories of a trapped active particle. We find that steady-state trajectories in a harmonic potential fulfill path-wise time-reversal symmetry exactly despite their active nature, while this symmetry is typically broken in anharmonic potentials.