Microcanonical foundation for systems with power-law distributions

2000/02/10 by Sumiyoshi Abe, A. K. Rajagopal, and A. K. Rajagopal · 2 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/0305-4470/33/48/311

published as J. Phys. A: Math. Gen. vol.33, 8733 (2000) · 9 pages

arxiv created 2000/02/10 · openalex publication_date 2000/11/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Starting from a microcanonical basis with the principle of equal a priori probability, it is shown using the method of steepest descents that besides ordinary Boltzmann-Gibbs theory with the exponential distribution a theory describing systems with power-law distributions can also be derived.

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