The Entropy Production of Ornstein-Uhlenbeck Active Particles: a path integral method for correlations

Abstract

By employing a path integral formulation, we obtain the entropy production rate for a system of active Ornstein-Uhlenbeck particles (AOUP) both in the presence and in the absence of thermal noise. The present treatment clarifies some contraddictions concerning the definition of the entropy production rate in the AOUP model, recently appeared in the literature. We derive explicit formulas for three different cases: overdamped Brownian particle, AOUP with and without thermal noise. In addition, we show that it is not necessary to introduce additional hypotheses concerning the parity of auxiliary variables under time reversal transformation. Our results agree with those based on a previous mesoscopic approach.

References in corpus (55)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Active Particles in Complex and Crowded Environments
• The Mechanics and Statistics of Active Matter
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Fluctuation-Dissipation: Response Theory in Statistical Physics
• How far from equilibrium is active matter?
• Brownian motion of a self-propelled particle
• A self-propelled particle in an external potential: is there an effective temperature?
• Effective Interactions in Active Brownian Suspensions
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• 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
• Generic Properties of Stochastic Entropy Production
• Hidden entropy production and work fluctuations in an ideal active gas
• Entropy production in full phase space for continuous stochastic dynamics
• Run-and-tumble particles with hydrodynamics: sedimentation, trapping and upstream swimming
• Complementarity relation for irreversible process derived from stochastic energetics
• Stochastic thermodynamics for active matter
• Activity driven fluctuations in living cells
• Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
• The Entropy Production of Ornstein-Uhlenbeck Active Particles: a path integral method for correlations
• Quantum work relations and response theory
• Non-equilibrium thermodynamics of stochastic systems with odd and even variables
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
• Active escape dynamics: the effect of persistence on barrier crossing
• Stochastic thermodynamics of active Brownian particles
• Heat, temperature and Clausius inequality in a model for active brownian particles
• Entropy Production of Brownian Macromolecules with Inertia
• Origins and diagnostics of the nonequilibrium character of active systems
• Stationary superstatistics distributions of trapped run-and-tumble particles
• Entropy production and fluctuation theorems for Langevin processes under continuous non-Markovian feedback control
• Active Brownian particles: Entropy production and fluctuation-response
• Entropy production and work fluctuation relations for a single particle in active bath
• Nonequilibrium dissipation in living oocytes
• Smoluchowski Diffusion Equation for Active Brownian Swimmers
• Modeling the dynamics of a tracer particle in an elastic active gel
• 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
• Active Brownian particles driven by constant affinity
• Evaluating linear response in active systems with no perturbing field
• Entropy production and fluctuation theorems under feedback control: the molecular refrigerator model revisited
• Energetics of active fluctuations in living cells
• Comment on "Entropy Production and Fluctuation Theorems for Active Matter"
• Nonexistence of classical diamagnetism and nonequilibrium fluctuation theorems for charged particles on a curved surface
• Response of active Brownian particles to shear flow
• Unconventional entropy production in the presence of momentum-dependent forces
• Entropy production by active particles: Coupling of odd and even functions of velocity
• Entropy production for velocity-dependent macroscopic forces: the problem of dissipation without fluctuations
• Driven Soft Matter: Entropy Production and the Fluctuation-Dissipation Theorem
• Rotational diffusion under torque: Microscopic reversibility and excess entropy

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• Conceptual and practical approaches for investigating irreversible processes
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• Velocity Distribution and Diffusion of an Athermal Inertial Run-and-Tumble Particle in a Shear-Thinning Medium
• Conditional entropic approach to nonequilibrium complex systems with weak fluctuation correlation
• The chemical birth-death process with Gillespie noise
• Field theory of survival probabilities, extreme values, first passage times, and mean span of non-Markovian stochastic processes
• Thermodynamic nature of irreversibility in active matter
• Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
• Collective excitations in active solids featuring alignment interactions
• Global optimization and monotonicity in entropy production of weak drivings
• Force-free kinetic inference of entropy production
• Ultrafast Entropy Production in Non-Equilibrium Magnets
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• Entropy production in active Rouse polymers
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