Communication: Mechanochemical fluctuation theorem and thermodynamics of self-phoretic motors

Communication: Mechanochemical fluctuation theorem and thermodynamics of self-phoretic motors

Publication Type:

Journal Article

Source:

Journal of Chemical Physics, American Institute of Physics Inc., Volume 147, Number 21 (2017)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85037057678&doi=10.1063%2f1.5008562&partnerID=40&md5=5152a1c47454312af6cb4f8a8f3acf23

Keywords:

Catalysis, Catalytic reactions, Chemical fluctuations, Concentration fields, Differential equations, Fluctuation theorems, Fluid velocity field, Joint probability, Mechanochemical couplings, Microscopic reversibility, Molecular dynamics, Propulsion, Reaction kinetics, Surface reactions, Thermodynamics, Velocity

Abstract:

<p>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, 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 derived, starting from coupled Langevin equations for the translational, rotational, and chemical fluctuations of self-phoretic motors. 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 a dependence of the reaction rate on the value of an externally applied force. © 2017 Author(s).</p>

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