2014/06/24 by R. A. Treumann, W. Baumjohann, Treumann, R. A. +1 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1406.6639
6 pages, no figures
arxiv created 2014/06/24 · openalex publication_date 2014/06/24 · arxiv updated 2014/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Gibbsian statistical mechanics is extended into the domain of non-negligible though non-specified correlations in phase space while respecting the fundamental laws of thermodynamics. The appropriate Gibbsian probability distribution is derived and the physical temperature identified. Consistent expressions for the canonical partition function are given. In a first application, the corresponding Boltzmann, Fermi and Bose-Einstein distributions are obtained. It is shown that the latter lose their typical quantum properties, i.e. the degenerate Fermi state and Bose-Einstein condensation. These distributions apply only to states at finite temperature with correlations. As a by-product these results exclude any negative absolute temperatures also in the Boltzmann limit.