On different $q$-systems in nonextensive thermostatistics

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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