2018/10/23 by Hideyuki Miyahara, Kazuyuki Aihara · 6 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Energy (signal processing) #Fundamental thermodynamic relation #Isothermal process #Mathematics #Maxwell's demon #Non-equilibrium thermodynamics #Physics #Quadratic equation #Quantum Electrodynamics and Casimir Effect #Relation (database) #Second law of thermodynamics #Set (abstract data type) #Statistical Mechanics and Entropy #Statistical mechanics #Statistical physics #Statistics #Thermodynamics #Tsallis statistics #Work (physics) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.98.042138
published in Physical review. E 98(4) (American Physical Society) · 7 pages, 1 figure, published in PRE
openalex publication_date 2018/10/23 · arxiv created 2018/11/23 · arxiv updated 2018/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The relation between the work performed to a system and the change of its free energy during a certain process is important in nonequilibrium statistical mechanics. In particular, the work relation with measurement and feedback control has attracted much attention, because it resolved the paradox concerning Maxwell's demon. Most studies, however, assume that their target systems are isolated or isothermal. In this paper, by considering a nonisothermal system, we generalize the Sagawa-Ueda-Jarzynski relation, which involves measurement and feedback control, and apply it to a realistic model. Furthermore, when the temperature profile is quadratic, we see that the system is governed by Tsallis statistical mechanics. In addition, we show that our formulation provides the generalized version of the second law of information thermodynamics and a set of work relations for isothermal systems.