2014/03/31 by Naoto Shiraishi, Takahiro Sagawa · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Dissipation #Entropy (arrow of time) #Entropy production #Fluctuation theorem #Fluctuation-dissipation theorem #Fundamental theorem #Generalization #H-theorem #Joint quantum entropy #Mathematical analysis #Mathematics #Maximum entropy thermodynamics #No-go theorem #Non-equilibrium thermodynamics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Statistical physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.91.012130
published as Phys. Rev. E 91, 012130 (2015) · 7 pages, 6 figures
arxiv created 2014/12/17 · openalex publication_date 2015/01/16 · arxiv updated 2015/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We establish a generalization of the fluctuation theorem for partially masked nonequilibrium dynamics. We introduce a partial entropy production with a subset of all possible transitions, and show that the partial entropy production satisfies the integral fluctuation theorem. Our result reveals the fundamental properties of a broad class of autonomous as well as nonautonomous nanomachines. In particular, our result gives a unified fluctuation theorem for both autonomous and nonautonomous Maxwell's demons, where mutual information plays a crucial role. Furthermore, we derive a fluctuation-dissipation theorem that relates nonequilibrium stationary current to two kinds of equilibrium fluctuations.