Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume 2021, Issue 3, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1742-5468/abe6fd
Keywords
active matter; Brownian motion; stochastic thermodynamics; stochastic particle dynamics
Categories
Funding
- Deutsche Forschungsgemeinschaft (DFG) [FOR 2692, 397303734]
- Nordita Visiting PhD Student Fellowship
- Swedish Research Council (Vetenskapsradet) [2016-05412]
- Paderborn Center for Parallel Computing (PC2) within the Project 'hpc-prf-ubinmpt'
- Swedish Research Council [2016-05412] Funding Source: Swedish Research Council
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The defining feature of active particles is their constant self-propulsion through the conversion of chemical energy into directed motion, keeping them permanently out of equilibrium. Despite potentially sharing certain equilibrium features, active particles may break the time-reversal symmetry in anharmonic potentials while fulfilling it in harmonic potentials in steady-state trajectories.
The defining feature of active particles is that they constantly propel themselves by locally converting chemical energy into directed motion. This active self-propulsion prevents them from equilibrating with their thermal environment (e.g. an aqueous solution), thus keeping them permanently out of equilibrium. Nevertheless, the spatial dynamics of active particles might share certain equilibrium features, in particular in the steady state. We here focus on the time-reversal symmetry of individual spatial trajectories as a distinct equilibrium characteristic. We investigate to what extent the steady-state trajectories of a trapped active particle obey or break this time-reversal symmetry. Within the framework of active Ornstein-Uhlenbeck particles we find that the steady-state trajectories in a harmonic potential fulfill path-wise time-reversal symmetry exactly, while this symmetry is typically broken in anharmonic potentials.
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