Irreversibility in active matter: General framework for active Ornstein-Uhlenbeck particles

Abstract

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 (AOUPs), 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 versus backward path), extending recent results from [PRX 9, 021009 (2019)] by allowing for arbitrary initial particle distributions and states of the active driving.

14 pages

References in corpus (51)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Active Particles in Complex and Crowded Environments
• Motility-Induced Phase Separation
• Physics of Microswimmers - Single Particle Motion and Collective Behavior
• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• How far from equilibrium is active matter?
• Stochastic thermodynamics: Principles and perspectives
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Pressure and Phase Equilibria in Interacting Active Brownian Spheres
• Equality connecting energy dissipation with violation of fluctuation-response relation
• A self-propelled particle in an external potential: is there an effective temperature?
• Broken detailed balance and non-equilibrium dynamics in living systems
• Effective Interactions in Active Brownian Suspensions
• Effective Cahn-Hilliard equation for the phase separation of active Brownian particles
• The statistical physics of active matter: from self-catalytic colloids to living cells
• A Micrometer-sized Heat Engine Operating Between Bacterial Reservoirs
• The unlikely Carnot efficiency
• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• Irreversibility in active matter systems: Fluctuation theorem and mutual information
• Generalized energy equipartition in harmonic oscillators driven by active baths
• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
• Entropy production and fluctuation theorems for active matter
• Hidden entropy production and work fluctuations in an ideal active gas
• Towards a statistical mechanical theory of active fluids
• Active colloids in complex fluids
• Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
• The nonequilibrium glassy dynamics of self-propelled particles
• Directed transport of active particles over asymmetric energy barriers
• Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
• Stochastic thermodynamics: From principles to the cost of precision
• The Entropy Production of Ornstein-Uhlenbeck Active Particles: a path integral method for correlations
• Universal theory of efficiency fluctuations
• Decision Making in the Arrow of Time
• Irreversible effects of memory
• Heat, temperature and Clausius inequality in a model for active brownian particles
• Rules of calculus in the path integral representation of white noise Langevin equations: the Onsager-Machlup approach
• Entropy production and work fluctuation relations for a single particle in active bath
• Efficiency fluctuations in microscopic machines
• Linear response theory and Green-Kubo relations for active matter
• Clausius relation for active particles: what can we learn from fluctuations?
• Linear response and correlation of a self-propelled particle in the presence of external fields
• Generalized Ornstein-Uhlenbeck Model for Active Motion
• Current fluctuations in stochastic systems with long-range memory
• Evaluating linear response in active systems with no perturbing field
• Pressure and Flow of Exponentially Self-Correlated Active Particles
• How irreversible are steady-state trajectories of a trapped active particle?
• Critical Phenomena in Active Matter
• Comment on "Entropy Production and Fluctuation Theorems for Active Matter"

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