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.

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

References in corpus (6)

• Self-motile colloidal particles: from directed propulsion to random walk
• Fluctuations and response of nonequilibrium states
• 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
• Distribution of Entropy Production for a Colloidal Particle in a Nonequilibrium Steady State

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• Effective thermodynamics of two interacting underdamped Brownian particles
• Non-equilibrium driven by an external torque in the presence of a magnetic field
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• Gaussian Memory in Kinematic Matrix Theory for Self-Propellers