Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle

Abstract

We extend Tooru-Cohen analysis for nonequilirium steady state(NSS) of a Brownian particle to nonequilibrium oscillatory state (NOS) of Brownian particle by considering time dependent external drive protocol. We consider an unbounded charged Brownian particle in the presence of an oscillating electric field and prove work fluctuation theorem, which is valid for any initial distribution and at all times. For harmonically bounded and constantly dragged Brownian particle considered by Tooru and Cohen, work fluctuation theorem is valid for any initial condition(also NSS), but only in large time limit. We use Onsager-Machlup Lagrangian with a constraint to obtain frequency dependent work distribution function, and describe entropy production rate and properties of dissipation functions for the present system using Onsager-Machlup functional.

6 pages, 1 figure

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Cited by in corpus (6)

• The Onsager-Machlup Function as Lagrangian for the Most Probable Path of a Jump-diffusion Process
• Level 2.5 large deviations for continuous time Markov chains with time periodic rates
• Work and heat distributions for a Brownian particle subjected to an oscillatory drive
• The Heat Distribution of the Underdamped Langevin Equation
• Fluctuation Theorems for Entropy Production and Heat Dissipation in Periodically Driven Markov Chains
• Dynamical fluctuations for periodically driven diffusions