Using Harmonic Mean to Replace Tsallis' q-Average
Xiangjun Feng
TL;DR
This paper proposes replacing Tsallis' q-average with the harmonic mean in generalized systems, providing a unified mathematical framework for equilibrium distributions in both extensive and non-extensive systems.
Contribution
It introduces a unified expression for equilibrium constraints and suggests using the harmonic mean as a more meaningful alternative to Tsallis' q-average.
Findings
Harmonic mean can replace Tsallis' q-average in generalized systems.
Unified mathematical expression for equilibrium constraints.
Potential for broader applicability in statistical mechanics.
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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Taxonomy
TopicsStatistical Mechanics and Entropy · Advanced Statistical Methods and Models · Advanced Mathematical Theories and Applications