2005/09/13 by V. V. Ryazanov, Ryazanov, V. V. · 1 citation
Decision Sciences · Mathematics · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Forecasting Techniques and Applications #Probability and Statistical Research #Statistical Mechanics and Entropy #physics.chem-ph
paper · pdf · doi:10.48550/arxiv.physics/0509099
19 pages, 3 figures
openalex publication_date 2005/09/13 · arxiv created 2006/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A continuous approximation for the results of [1] is obtained. In this approximation the energy distribution is represented in the form of the product of the Gibbs factor and superstatistics factor. The mutual weights of the factors are defined by the control parameter of the problem. Various approximations for the superstatistics factor are written. The resulting distribution is compared to a number of known results (multiplicative noise, Van der Pol generator etc). It is applied to the description of self-organized criticality, statistics of cosmic rays etc as well.