Active Brownian particles: Entropy production and fluctuation-response

Abstract

Within the Rayleigh-Helmholtz model of active Brownian particles activity is due to a non-linear velocity dependent force. In the presence of an external trapping potential or a constant force, the steady state of the system breaks detailed balance producing a net entropy. Using molecular dynamics simulations, we obtain the probability distributions of entropy production in these steady states. The distribution functions obey detailed fluctuation theorem for entropy production. Using simulation results, we further show that the steady state response function obeys a modified fluctuation-dissipation relation.

arXiv comment8 pages, 6 figures; version accepted for publication in Phys. Rev. E

References in corpus (29)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Collective motion
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Self-motile colloidal particles: from directed propulsion to random walk
• 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
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• The Nonequilibrium Thermodynamics of Small Systems
• Fluctuations and response of nonequilibrium states
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• Fluctuation-Dissipation Theorem in Nonequilibrium Steady States
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Off equilibrium dynamics and aging in unfrustrated systems
• The Einstein relation generalized to non-equilibrium
• A fluidized granular medium as an instance of the Fluctuation Theorem
• Experimental verification of a modified fluctuation-dissipation relation for a micron-sized particle in a non-equilibrium steady state
• Non-Gaussian statistics for the motion of self-propelled Janus particles: experiment versus theory
• Stochastic thermodynamics of single enzymes and molecular motors
• Non-equilibrium work relations
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State
• Stochastic thermodynamics of active Brownian particles
• Reexamination of experimental tests of the fluctuation theorem
• Modified Fluctuation-dissipation theorem for non-equilibrium steady-states and applications to molecular motors
• Fluctuation Theorem for the flashing ratchet model of molecular motors
• Time asymmetry of the Kramers equation with nonlinear friction: fluctuation-dissipation relation and ratchet effect
• Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states

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