Active matter: quantifying the departure from equilibrium

Abstract

Active matter systems are driven out of equilibrium at the level of individual constituents. One widely studied class are systems of athermal particles that move under the combined influence of interparticle interactions and self-propulsions, with the latter evolving according to the Ornstein-Uhlenbeck stochastic process. Intuitively, these so-called active Ornstein-Uhlenbeck particles (AOUPs) systems are farther from equilibrium for longer self-propulsion persistence times. Quantitatively, this is confirmed by the increasing equal-time velocity correlations (which are trivial in equilibrium) and by the increasing violation of the Einstein relation between the self-diffusion and mobility coefficients. In contrast, the entropy production rate, calculated from the ratio of the probabilities of the position space trajectory and its time-reversed counterpart, has a non-monotonic dependence on the persistence time. Thus, it does not properly quantify the departure of AOUPs systems from equilibrium.

6 pages, 4 figures

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Cited by in corpus (28)

• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics
• Effective temperatures in inhomogeneous passive and active bidimensional Brownian particle systems
• Time-resolved statistics of snippets as general framework for model-free entropy estimators
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• How irreversible are steady-state trajectories of a trapped active particle?
• The entropy production of an active particle in a box
• Glassy Dynamics in Chiral Fluids
• Cage Length Controls the Non-Monotonic Dynamics of Active Glassy Matter
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• How to define temperature in active systems?
• Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
• Mode-coupling theory for mixtures of athermal self-propelled particles
• The fluctuation-dissipation relation holds for a macroscopic tracer in an active bath
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• Probing the limits of effective temperature consistency in actively driven systems
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• Long-ranged velocity correlations in dense systems of self-propelled particles