Large deviation function and fluctuation theorem for classical particle transport

2013/08/01 by Upendra Harbola, Christian Van den Broeck, Katja Lindenberg
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Fluctuation theorem #Function (biology) #Geology #Mathematical analysis #Mathematics #Particle (ecology) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Statistical physics #Thermal Radiation and Cooling Technologies #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.89.012141

arxiv created 2013/08/01 · openalex publication_date 2014/01/28 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analytically evaluate the large deviation function in a simple model of classical particle transfer between two reservoirs. We illustrate how the asymptotic long-time regime is reached starting from a special propagating initial condition. We show that the steady-state fluctuation theorem holds provided that the distribution of the particle number decays faster than an exponential, implying analyticity of the generating function and a discrete spectrum for its evolution operator.

Citations

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