Stochastic thermodynamics of a harmonically trapped colloid in linear mixed flow

Pagare, Asawari and Cherayil, Cherayil (2019) Stochastic thermodynamics of a harmonically trapped colloid in linear mixed flow. In: PHYSICAL REVIEW E, 100 (5).

PDF Phy_Rev_100_5.pdf - Published Version Restricted to Registered users only Download (956kB) | Request a copy

Abstract

In this paper, motivated by a general interest in the stochastic thermodynamics of small systems, we derive an exact expression-via path integrals-for the conditional probability density of a two-dimensional harmonically confined Brownian particle acted on by linear mixed flow. This expression is a generalization of the expression derived earlier by Foister and Van De Ven J. Fluid Mech. 96, 105 (1980)] for the case of the corresponding free Brownian particle, and reduces to it in the appropriate unconfined limit. By considering the long-time limit of our calculated probability density function, we show that the flow-driven Brownian oscillator attains a well-defined steady state. We also show that, during the course of a transition from an initial flow-free thermal equilibrium state to the flow-driven steady state, the integral fluctuation theorem, the Jarzynski equality, and the Bochkov-Kuzovlev relation are all rigorously satisfied. Additionally, for the special cases of pure rotational flow we derive an exact expression for the distribution of the heat dissipated by the particle into the medium, and for the special case of pure elongational flow we derive an exact expression for the distribution of the total entropy change. Finally, by examining the system's stochastic thermodynamics along a reverse trajectory, we also demonstrate that in elongational flow the total entropy change satisfies a detailed fluctuation theorem.

Item Type:	Journal Article
Publication:	PHYSICAL REVIEW E
Publisher:	AMER PHYSICAL SOC
Additional Information:	copyt right of this article belong to AMER PHYSICAL SOC
Department/Centre:	Division of Chemical Sciences > Inorganic & Physical Chemistry
Date Deposited:	11 Dec 2019 08:05
Last Modified:	11 Dec 2019 08:05
URI:	http://eprints.iisc.ac.in/id/eprint/64052

Actions (login required)

View Item