2007/02/16 by Congjie Ou, Ou, Congjie, Zhifu Huang +3
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Data Analysis #FOS: Physical sciences #Statistical Mechanics and Entropy #Statistics and Probability (physics.data-an) #physics.data-an
paper · pdf · doi:10.48550/arxiv.physics/0702134
8 pages
arxiv created 2007/02/16 · openalex publication_date 2007/02/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By using a fonctionelle of probability distributions, several different statistical physics including extensive and nonextensive statistics are unified in a general method. The essential equivalence between the MaxEnt process of the most probable probility distribution in these statistics and the famous thermodynamical relation dU=TdS is strictly proved without any additional assumption. Moreover, it is expounded that all the conclusions of these different statistics can be directly derived from the equivalent relation.