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Thermodynamic Derivation of the Fluctuation Theorem and Jarzynski Equality

2011/03/29 by Maarten H. P. Ambaum
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Binary entropy function #Canonical ensemble #Computer science #Entropy (arrow of time) #Expression (computer science) #Fluctuation theorem #H-theorem #Interpretation (philosophy) #Mathematics #Maximum entropy thermodynamics #Monte Carlo method #Non-equilibrium thermodynamics #Physics #Principle of maximum entropy #Statistical Mechanics and Entropy #Statistical physics #Thermodynamics #Thermoelastic and Magnetoelastic Phenomena #cond-mat.stat-mech

paper · pdf · doi:10.5402/2012/528737

published as ISRN Thermodynamics, 2012, 528737 · 4 pages, 0 figures

arxiv created 2011/03/29 · openalex publication_date 2012/05/17 · arxiv updated 2012/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A thermodynamic expression for the analog of the canonical ensemble for nonequilibrium systems is described based on a purely information theoretical interpretation of entropy. It is shown that this nonequilibrium canonical distribution implies some important results from nonequilibrium thermodynamics, specifically, the fluctuation theorem and the Jarzynski equality. Those results are therefore expected to be more widely applicable, for example, to macroscopic systems.

Citations