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.
Citation:
A. V. Kolesnichenko, “To the construction of non-additive thermodynamics of complex systems on the basis of the statistics of Kurado–Tsallis”, Keldysh Institute preprints, 2018, 025, 40 pp.
\Bibitem{Kol18}
\by A.~V.~Kolesnichenko
\paper To the construction of non-additive thermodynamics of complex systems on the basis of the statistics of Kurado--Tsallis
\jour Keldysh Institute preprints
\yr 2018
\papernumber 025
\totalpages 40
\mathnet{http://mi.mathnet.ru/ipmp2387}
\crossref{https://doi.org/10.20948/prepr-2018-25}
\elib{https://elibrary.ru/item.asp?id=32518079}
Linking options:
https://www.mathnet.ru/eng/ipmp2387
https://www.mathnet.ru/eng/ipmp/y2018/p25
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