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KIAM Preprint № 25, Moscow, 2018
Authors: Kolesnichenko A. V.
To the construction of non-additive thermodynamics of complex systems on the basis of the statistics of Kurado-Tsallis
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
Publication language: russian,  pages: 40
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Kolesnichenko Aleksandr Vladimirovich,  kolesn@keldysh.ruorcid.org/0000-0003-1416-5634KIAM RAS