Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles

Dabelow L, Eichhorn R (2021)
Frontiers in Physics 8: 582992.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Dabelow, LennartUniBi; Eichhorn, Ralf
Abstract / Bemerkung
Active matter systems are driven out of equilibrium by conversion of energy into directed motion locally on the level of the individual constituents. In the spirit of a minimal description, active matter is often modeled by so-called active Ornstein-Uhlenbeck particles an extension of passive Brownian motion where activity is represented by an additional fluctuating non-equilibrium "force" with simple statistical properties (Ornstein-Uhlenbeck process). While in passive Brownian motion, entropy production along trajectories is well-known to relate to irreversibility in terms of the log-ratio of probabilities to observe a certain particle trajectory forward in time in comparison to observing its time-reversed twin trajectory, the connection between these concepts for active matter is less clear. It is therefore of central importance to provide explicit expressions for the irreversibility of active particle trajectories based on measurable quantities alone, such as the particle positions. In this technical note we derive a general expression for the irreversibility of AOUPs in terms of path probability ratios (forward vs. backward path), extending recent results from [PRX 9, 021009 (2019)] by allowing for arbitrary initial particle distributions and states of the active driving.
Stichworte
active matter; stochastic thermodynamics; non-equilibrium; active; Brownian motion; active Ornstein-Uhlenbeck particle; irreversibility; path integrals
Erscheinungsjahr
2021
Zeitschriftentitel
Frontiers in Physics
Band
8
Art.-Nr.
582992
ISSN
2296-424X
Page URI
https://pub.uni-bielefeld.de/record/2951303

Zitieren

Dabelow L, Eichhorn R. Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles. Frontiers in Physics. 2021;8: 582992.
Dabelow, L., & Eichhorn, R. (2021). Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles. Frontiers in Physics, 8, 582992. https://doi.org/10.3389/fphy.2020.582992
Dabelow, Lennart, and Eichhorn, Ralf. 2021. “Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles”. Frontiers in Physics 8: 582992.
Dabelow, L., and Eichhorn, R. (2021). Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles. Frontiers in Physics 8:582992.
Dabelow, L., & Eichhorn, R., 2021. Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles. Frontiers in Physics, 8: 582992.
L. Dabelow and R. Eichhorn, “Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles”, Frontiers in Physics, vol. 8, 2021, : 582992.
Dabelow, L., Eichhorn, R.: Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles. Frontiers in Physics. 8, : 582992 (2021).
Dabelow, Lennart, and Eichhorn, Ralf. “Irreversibility in Active Matter: General Framework for Active Ornstein-Uhlenbeck Particles”. Frontiers in Physics 8 (2021): 582992.
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