2014/07/23 by A. Pal, Arnab Pal, Sanjib Sabhapandit
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian motion #Classical mechanics #Mathematics #Particle (ecology) #Physics #Probability density function #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Statistical physics #Statistics #Stochastic process #Work (physics) #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.90.052116
published as Phys. Rev. E 90, 052116 (2014) · 10 pages, 6 figures
arxiv created 2014/07/23 · openalex publication_date 2014/11/11 · arxiv updated 2014/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have considered the underdamped motion of a Brownian particle in the presence of a correlated external random force. The force is modeled by an Ornstein-Uhlenbeck process. We investigate the fluctuations of the work done by the external force on the Brownian particle in a given time interval in the steady state. We calculate the large deviation functions as well as the complete asymptotic form of the probability density function of the performed work. We also discuss the symmetry properties of the large deviation functions for this system. Finally we perform numerical simulations and they are in a very good agreement with the analytic results.