Work distribution function for a Brownian particle driven by a nonconservative force.

Saha, Bappa and Sutapa, Mukherji (2015) Work distribution function for a Brownian particle driven by a nonconservative force. The European Physical Journal B, 88 (146). pp. 131-10.

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Abstract

We derive the distribution function of work performed by a harmonic force acting on a uniformly dragged Brownian particle subjected to a rotational torque. Following the Onsager and Machlup’s functional integral approach, we obtain the transition probability of finding the Brownian particle at a particular position at time t given that it started the journey from a specific location at an earlier time. The difference between the forward and the time-reversed form of the generalized Onsager-Machlup’s Lagrangian is identified as the rate of medium entropy production which further helps us develop the stochastic thermodynamics formalism for our model. The probability distribution for the work done by the harmonic trap is evaluated for an equilibrium initial condition. Although this distribution has a Gaussian form, it is found that the distribution does not satisfy the conventional work fluctuation theorem.

Item Type:	Article
Uncontrolled Keywords:	Brownian particle, nonconservative force
Subjects:	500 Natural Sciences and Mathematics > 03 Physics
Divisions:	Protein Chemistry and Technology
Depositing User:	Food Sci. & Technol. Information Services
Date Deposited:	11 Dec 2015 06:59
Last Modified:	11 Dec 2015 06:59
URI:	http://ir.cftri.res.in/id/eprint/12025

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