2007/05/31 by Sumiyoshi Abe, Christian Beck, E. G. D. Cohen +1 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.76.031102
16 pages, no figures. The title changed, some explanations and references added. Accepted for publication in Phys. Rev. E
arxiv created 2007/07/20 · openalex publication_date 2007/09/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A thermodynamiclike formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary thermodynamics is recovered as a special case of the present theory, and corrections to it can systematically be evaluated. A generalization of Einstein's relation for fluctuations is presented using a maximum entropy condition.