On different $q$-systems in nonextensive thermostatistics
Wei Li (ISMANS), Qiuping A. Wang (ISMANS), Laurent Nivanen (ISMANS),, Alain Le M\'ehaut\'e (ISMANS)
TL;DR
This paper explores extending nonextensive thermostatistics to systems composed of subsystems with different $q$ values, using air network degree distributions and a new entropy rule.
Contribution
It proposes a novel extension of nonextensive statistics to mixed-$q$ systems based on an entropy nonadditivity rule and unnormalized energy expectation.
Findings
Power law degree distribution fits air networks with different $q$
Extension of nonextensive statistics to mixed-$q$ systems proposed
New entropy rule supports composite system analysis
Abstract
It is known that the nonextensive statistics was originally formulated for the systems composed of subsystems having same . In this paper, the existence of composite system with different subsystems is investigated by fitting the power law degree distribution of air networks with -exponential distribution. Then a possible extension the nonextensive statistics to different systems is provided on the basis of an entropy nonadditivity rule and an unnormalized expectation of energy.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Theoretical and Computational Physics · Advanced Mathematical Theories and Applications