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Work fluctuation relations for a dragged Brownian particle in active bath

Goswami, Koushik (2019) Work fluctuation relations for a dragged Brownian particle in active bath. In: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 525 . pp. 223-233.

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Official URL: https://dx.doi.org/10.1016/j.physa.2019.03.050

Abstract

We study the work distribution of a Brownian particle diffusing in an environment of active particles and being trapped in a harmonic potential, the center of which is subjected to a time-dependent protocol. Employing phase space path integral technique we find an expression of work distribution for any generic model of active noise. Here we consider two active noise models - Gaussian correlated and Poisson white, each of which can represent some physical systems. For both the cases, it is found that transient fluctuation relation of work is not applicable though at steady state it holds by defining a renormalized temperaturer tau(r) in place of bath temperature. Interestingly, tau(r) is the same for both the models and can be expressed in terms of diffusivities of active and thermal noises. For correlated Gaussian bath, an alternative approach is presented. Analogous to the formalism given by Hatano and Sasa (2001), we obtain a work like quantity from nonequilibrium potential with the inclusion of a new stationary parameter Omega. With proper choice of Omega, a steady-state fluctuation relation, namely Jarzynski equality is satisfied.

Item Type: Journal Article
Additional Information: copyright for this article belongs to ELSEVIER SCIENCE BV
Keywords: Work fluctuation theorem; Active noise; Jarzynski equality; Phase-space path integral method
Department/Centre: Division of Chemical Sciences > Inorganic & Physical Chemistry
Depositing User: Id for Latest eprints
Date Deposited: 27 Aug 2019 10:23
Last Modified: 27 Aug 2019 10:23
URI: http://eprints.iisc.ac.in/id/eprint/63312

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