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On different $q$-systems in nonextensive thermostatistics

Wei Li·Qiuping A. Wang·Laurent Nivanen·Alain Le Méhauté
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Abstract

It is known that the nonextensive statistics was originally formulated for the systems composed of subsystems having same $q$. In this paper, the existence of composite system with different $q$ subsystems is investigated by fitting the power law degree distribution of air networks with $q$-exponential distribution. Then a possible extension the nonextensive statistics to different $q$ systems is provided on the basis of an entropy nonadditivity rule and an unnormalized expectation of energy.

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Wei Li, Qiuping A. Wang, Laurent Nivanen, Alain Le Méhauté. 2006-01-12. On different $q$-systems in nonextensive thermostatistics. https://arxiv.org/abs/cond-mat/0601253

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