This article is cited in 24 papers

To the construction of non-additive thermodynamics of complex systems on the basis of the statistics of Kurado–Tsallis

A. V. Kolesnichenko


Abstract: The article presents a logical scheme for constructing non-extensive statistics and equilibrium thermodynamics, based on the parametric definition of the entropy of Tsallis. The consequences of the non-normalized averaging of the Kurado–Tsallis microscopic physical quantities in the Tsallis statistics are analyzed and its theoretical and practical significance in constructing non-additive thermodynamics of anomalous $q$-systems. Based on discrimination information of Rathie–Kannappan, spontaneous transitions between arbitrary states of a complex system and a generalized $H$-theorem in non-extensive statistics are considered.

Keywords: entropy of Tsallis, averaging of Kurado–Tsallis, equilibrium thermodynamical relationships, discrimination information of Rathie–Kannappan.

DOI: 10.20948/prepr-2018-25

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