Onsager-Machlup Theory and Work Fluctuation Theorem for a Harmonically Driven Brownian Particle

2007/08/17 by Navinder Singh · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1007/s10955-008-9503-5

published as J. Stat. Phys. Vol. 131, 405 (2008) · 6 pages, 1 figure

arxiv created 2007/08/17 · openalex publication_date 2008/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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.

Citations

• Fluidized Granular Medium as an Instance of the Fluctuation Theorem
• Power and Heat Fluctuation Theorems for Electric Circuits
• Nonequilibrium fluctuations in a resistor
• Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
• Onsager-Machlup Theory for Nonequilibrium Steady States and Fluctuation Theorems
• Extension of the Fluctuation Theorem
• Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States

Cited by

• Work and heat distributions for a Brownian particle subjected to an oscillatory drive