2011/11/25 by Hugo Touchette · 1 voice
Physics and Astronomy · Economics, Econometrics and Finance · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #Complex Systems and Time Series Analysis
paper · doi:10.1209/0295-5075/96/50010
openalex publication_date 2011/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
It has been proved for a class of mean-field and long-range systems that the concavity of the thermodynamic entropy determines whether the microcanonical and canonical ensembles are equivalent at the level of their equilibrium states, i.e. , whether they give rise to the same equilibrium states. Here we show that this correspondence is actually a general result of statistical mechanics: it holds for any many-body system for which equilibrium states can be defined and in principle calculated. The same correspondence applies for other dual statistical ensembles, such as the canonical and grand-canonical ensembles.