Stochastic thermodynamics for self-propelled particles

Abstract

We propose a generalization of stochastic thermodynamics to systems of active particles, which move under the combined influence of stochastic internal self-propulsions (activity) and a heat bath. The main idea is to consider joint trajectories of particles' positions and self-propulsions. It is then possible to exploit formal similarity of an active system and a system consisting of two subsystems interacting with different heat reservoirs and coupled by a non-symmetric interaction. The resulting thermodynamic description closely follows the standard stochastic thermodynamics. In particular, total entropy production, $\Delta s_{\text{tot}}$, can be decomposed into housekeeping, $\Delta s_{\text{hk}}$, and excess, $\Delta s_{\text{ex}}$, parts. Both $\Delta s_{\text{tot}}$ and $\Delta s_{\text{hk}}$ satisfy fluctuation theorems. The average rate of the steady-state housekeeping entropy production can be related to the violation of the fluctuation-dissipation theorem via a Harada-Sasa relation. The excess entropy production enters into a Hatano-Sasa-like relation, which leads to a generalized Clausius inequality involving the change of the system's entropy and the excess entropy production. Interestingly, although the evolution of particles' self-propulsions is free and uncoupled from that of their positions, non-trivial steady-state correlations between these variables lead to the non-zero excess dissipation in the reservoir coupled to the self-propulsions.

Final published version

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Cited by in corpus (30)

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• Active matter: quantifying the departure from equilibrium
• Entropons as collective excitations in active solids
• Translational and rotational dynamics of a self-propelled Janus probe in crowded environments
• The entropy production of an active particle in a box
• Active Refrigerators Powered by Inertia
• Thermodynamics of active matter: Tracking dissipation across scales
• Calorimetry for active systems
• Minimum Entropy Production by Microswimmers with Internal Dissipation
• A Brownian cyclic engine operating in a viscoelastic active suspension
• Fluctuations of entropy production of a run-and-tumble particle
• Entropy production and thermodynamic inference for stochastic microswimmers
• Efficiency of isothermal active matter engines: Strong driving beats weak driving
• Thermodynamically consistent model of an active Ornstein-Uhlenbeck particle
• First passage time distribution of active thermal particles in potentials
• Exactly solvable model of a passive Brownian heat engine and its comparison with active engines
• Effective Entropy Production and Thermodynamic Uncertainty Relation of Active Brownian Particles
• Stochastic energetics of a colloidal particle trapped in a viscoelastic bath
• Single active particle engine utilizing a non-reciprocal coupling between particle's position and self-propulsion
• Inhomogeneous entropy production in active crystals with point imperfections
• Designing circle Swimmers: Principles and strategies
• AMEP: The Active Matter Evaluation Package for Python
• Local detailed balance for active particle models
• Quantifying the non-equilibrium activity of an active colloid
• Single active particle in a harmonic potential: non-existence of the Jarzynski relation
• Improving estimation of entropy production rate for run-and-tumble particle systems by high-order thermodynamic uncertainty relation