Work fluctuations for a Brownian particle between two thermostats

2006/05/02 by Paolo Visco · 4 citations
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Electrodynamics and Casimir Effect #Thermal Radiation and Cooling Technologies #cond-mat.stat-mech

paper · pdf · doi:10.1088/1742-5468/2006/06/p06006

published as J. Stat. Mech. (2006) P06006 · 9 pages, 5 figures

arxiv created 2006/05/02 · openalex publication_date 2006/06/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We explicitly determine the large deviation function of the energy flow of a Brownian particle coupled to two heat baths at different temperatures. This toy model, initially introduced by Derrida and Brunet (2005, Einstein aujourd'hui (Les Ulis: EDP Sciences)), not only allows us to sort out the influence of initial conditions on large deviation functions but also allows us to pinpoint various restrictions bearing upon the range of validity of the Fluctuation Relation.

Citations

• Power and Heat Fluctuation Theorems for Electric Circuits
• Nonequilibrium fluctuations in a resistor
• Extension of the Fluctuation Theorem
• Microscopic Analysis of a Thermal Brownian Motor

Cited by

• Statistics of Entropy Production in Linearized Stochastic Systems
• Granular Brownian motion
• Stationary state fluctuation theorems for driven Langevin systems
• Heat Flux and Entropy Produced by Thermal Fluctuations