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

Abstract

Using the Onsager-Machlup functional integral approach, we obtain the work distribution function and the distribution of the dissipated heat of a Brownian particle subjected to a confining harmonic potential and an oscillatory driving force. In the long time limit, the width of the work distribution function initially increases with the frequency of the driving force and finally saturates to a fixed value for large values of the angular frequency. Using the results from the work distribution part, we next obtain the distribution of the dissipated heat for the equilibrium initial condition. Using the method of steepest descent, we obtain a Gaussian distribution for small fluctuations in the large time limit. The distribution function, for a fixed time has been obtained numerically. It is shown that the heat distribution, in general, does not satisfy the transient fluctuation theorem.

14 pages, 4 figures; corrected typos

References in corpus (8)

• Fluctuation theorems for stochastic dynamics
• An Extension of the Fluctuation Theorem
• Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
• Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
• Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments
• Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
• Inertial Effects in Nonequilibrium Work Fluctuations by a Path Integral Approach
• Onsager-Machlup theory and work fluctuation theorem for a harmonically driven Brownian particle

Cited by in corpus (6)

• The Heat Distribution of the Underdamped Langevin Equation
• Hierarchical structure of fluctuation theorems for a driven system in contact with multiple heat reservoirs
• Free energy for non-equilibrium quasi-stationary states
• Work distribution function for a Brownian particle driven by a nonconservative force
• Heat Distribution of Relativistic Brownian Motion
• Heat fluctuations in the logarithm-harmonic potential