Using Harmonic Mean to Replace Tsallis' q-Average

2010/02/23 by Xiang-jun FENG, Feng, Xiangjun
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Advanced Statistical Methods and Models #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1002.4254

openalex publication_date 2010/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a unified mathematical expression for the constraints leading to the equilibrium distributions of both extensive and non-extensive systems is presented. Based on this expression, a recommendation is made to replace Tsallis' q-average without obvious physical meaning with the statistical harmonic mean for a generalized system.

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