2014/07/31 by Bappa Saha, Sutapa Mukherji · 14 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian motion #Classical mechanics #Distribution (mathematics) #Distribution function #Field-Flow Fractionation Techniques #Fluctuation theorem #Gaussian #Limit (mathematics) #Mathematical analysis #Mathematics #Mechanics #Non-equilibrium thermodynamics #Particle (ecology) #Physics #Quantum mechanics #Statistical physics #Thermal Radiation and Cooling Technologies #Thermodynamics #Work (physics) #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2014/08/p08014
published in Journal of Statistical Mechanics Theory and Experiment 2014(8), P08014 (Institute of Physics) · 14 pages, 4 figures; corrected typos
arxiv created 2014/08/15 · openalex publication_date 2014/08/22 · arxiv updated 2016/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.