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Power law distribution of Rényi entropy for equilibrium systems having nonadditive energy

2003/04/07 by Qiuping A. Wang, Wang, Qiuping A. · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0304146

11 pages, TeX, 2 aps figure

openalex publication_date 2003/04/07 · arxiv created 2003/06/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Rényi entropy, a possible thermostatistics for nonextensive systems is discussed. We show that it is possible to get the q-exponential distribution function for nonextensive systems having nonadditive energy but additive entropy. It is also shown that additive energy, as a approximation within nonextensive statistics, is not suitable for discussing fundamental problems for interacting systems.

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