The stochastic motion of self-thermophoretic Janus particles

Abstract

Langevin equations for the self-thermophoretic dynamics of Janus motors partially coated with an absorbing layer that is heated by a radiation field are presented. The derivation of these equations is based on fluctuating hydrodynamics and radiative heat transfer theory involving stochastic equations for bulk phases and surface processes that are consistent with microscopic reversibility. Expressions for the self-thermophoretic force and torque for arbitrary slip boundary conditions are obtained. The overdamped Langevin equations for the colloid displacement and radiative heat transfer provide expressions for the self-thermophoretic velocity and its reciprocal contribution where an external force can influence the radiative heat transfer. A nonequilibrium fluctuation formula is also derived and shows how the probability density of the Janus particle displacement and radiation energy transfer during the time interval [0,t] are related to the mechanical and thermal affinities that characterize the nonequilibrium system state.

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Cited by in corpus (5)

• Active matter, microreversibility, and thermodynamics
• Microscopic approach to the macrodynamics of matter with broken symmetries
• Enhanced diffusivity in microscopically reversible active matter
• Microscopic theory of a Janus motor in a non-equilibrium fluid: Surface hydrodynamics and boundary conditions
• Diffusion coefficient and power spectrum of active particles with a microscopically reversible mechanism of self-propelling