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Irreversibility in ...
Irreversibility in Active Matter : General Framework for Active Ornstein-Uhlenbeck Particles
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- Dabelow, Lennart (author)
- Univ Bielefeld, Fak Phys, Bielefeld, Germany.
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- Eichhorn, Ralf (author)
- Stockholms universitet,KTH,Nordic Institute for Theoretical Physics NORDITA,Stockholm Univ, Stockholm, Sweden.,Nordiska institutet för teoretisk fysik (Nordita)
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Univ Bielefeld, Fak Phys, Bielefeld, Germany Nordic Institute for Theoretical Physics NORDITA (creator_code:org_t)
- 2021-01-11
- 2021
- English.
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In: Frontiers in Physics. - : Frontiers Media SA. - 2296-424X. ; 8
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- active matter
- stochastic thermodynamics
- non-equilibrium
- active Brownian motion
- active Ornstein-Uhlenbeck particle
- irreversibility
- path integrals
Publication and Content Type
- ref (subject category)
- art (subject category)
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