2005/02/28 by Takuya Yamano, Yamano, Takuya
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Neural Networks and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0502643
7 pages, no figures
arxiv created 2005/02/28 · openalex publication_date 2005/02/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
By focusing on the interchangeable role in a generating function (i.e., β↔ E in the Laplace transform), the superstatistics proposed by Beck and Cohen can be viewed as a counterpart of the canonical partition function. Some formal properties of this superstatistics are presented in connection with thermodynamic structures and information aspects. For any combination of the local equilibrium statistical factor and the form of fluctuating field, which are ingredients of making a generic superstatistics, a variance of the fluctuating quantity appears in the correction term. This fact enables us to relate parameters contained in the statistical factor with the variance in \it any situation.