Mechanochemical fluctuation theorem and thermodynamics of self-phoretic motors

Abstract

Microscopic dynamical aspects of the propulsion of nanomotors by self-phoretic mechanisms are considered. Propulsion by self-diffusiophoresis relies on the mechanochemical coupling between the fluid velocity field and the concentration fields induced by asymmetric catalytic reactions on the motor surface. The consistency between the thermodynamics of this coupling and the microscopic reversibility of the underlying molecular dynamics is investigated. For this purpose coupled Langevin equations for the translational, rotational, and chemical fluctuations of self-phoretic motors are derived. A mechanochemical fluctuation theorem for the joint probability to find the motor at position r after n reactive events have occurred during the time interval t is also derived. An important result that follows from this analysis is the identification of an effect that is reciprocal to self-propulsion by diffusiophoresis, which leads to the possibility of fuel synthesis by mechanochemical coupling to external force and torque.

References in corpus (18)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Active Particles in Complex and Crowded Environments
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Propulsion of a molecular machine by asymmetric distribution of reaction--products
• How far from equilibrium is active matter?
• Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
• A Classical Density-Functional Theory for Describing Water Interfaces
• Stochastic thermodynamics for active matter
• Dynamics and efficiency of a self-propelled, diffusiophoretic swimmer
• Chemistry in Motion: Tiny Synthetic Motors
• Brownian Dynamics of Confined Rigid Bodies
• Synthetic Mechanochemical Molecular Swimmer
• Phoretic self-propulsion: a mesoscopic description of reaction dynamics that powers motion
• Exact symmetries in the velocity fluctuations of a hot Brownian swimmer
• Extreme fluctuations of active Brownian motion
• Fluctuation Theorem for the flashing ratchet model of molecular motors
• Anisotropic Isometric Fluctuation Relations in experiment and theory on a self-propelled rod

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