Email this article Group of Havrda–Charvat–Daroczy Entropy Vectors in Nonextensive Statistical Mechanics
- Authors: Zaripov R.G.1
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Affiliations:
- Institute of Mechanics and Engineering of the Kazan’ Scientific Center of the Russian Academy of Sciences
- Issue: Vol 59, No 2 (2016)
- Pages: 240-249
- Section: Article
- URL: https://bakhtiniada.ru/1064-8887/article/view/237022
- DOI: https://doi.org/10.1007/s11182-016-0763-2
- ID: 237022
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Abstract
An Abelian group of three-dimensional Havrda–Charvat–Daroczy entropy vectors that depend on three distributions is defined, and the composition law of vectors with quadratic nonlinearity is determined. A geometric representation of the group in global four-dimensional Finsler space is considered. Properties of nonextensive entropy vectors that depend on three distributions are derived. An additive angular measure and a three-dimensional angular vector parameter are defined.
About the authors
R. G. Zaripov
Institute of Mechanics and Engineering of the Kazan’ Scientific Center of the Russian Academy of Sciences
Author for correspondence.
Email: zaripov@mail.knc.ru
Russian Federation, Kazan’
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