Algebraic representation of the group of entropy vectors in nonextensive statistical mechanics

DOI10.1007/s11182-015-0417-9zbMath1338.82025OpenAlexW4246765398MaRDI QIDQ895032

R. G. Zaripov

Publication date: 26 November 2015

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-015-0417-9

zbMATH Keywords

nonextensive statistical mechanicsFinsler geometryFinsler spaceTsallis entropieshyperbolic entropyfour-dimensional geometryhypercomplex numbersRenyi entropiesconformal generalizationsvector entropies

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Applications of local differential geometry to the sciences (53B50) Measures of information, entropy (94A17) Applications of group representations to physics and other areas of science (20C35) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Statistical thermodynamics (82B30)

Cites Work

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• An introduction to constant curvature spaces in the commutative (Segre) quaternion geometry
• Geometric representation of the group of entropy vectors in nonextensive statistical mechanics
• Algebraic representation of an entropy group in statistical thermodynamics of nonextensive systems
• Generalised Thermostatistics
• Introduction to Nonextensive Statistical Mechanics
• An entropy group and its representation in thermodynamics of nonextensive systems