Group of Havrda-Charvat-Daroczy Entropy Vectors in Nonextensive Statistical Mechanics

被引：1

作者：

Zaripov, R. G. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Mech & Engn, Kazan Sci Ctr, Kazan, Russia

来源：

RUSSIAN PHYSICS JOURNAL | 2016年 / 59卷 / 02期

关键词：

nonextensivity; four-dimensional geometry; group; entropy; Hadamard matrix; conformality; entropy vector; GEOMETRIC REPRESENTATION; THERMODYNAMICS; SYSTEMS;

D O I：

10.1007/s11182-016-0763-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：240 / 249

页数：10

共 14 条

[11] Group of energies and its representations in nonextensive statistical mechanics
R. G. Zaripov
Russian Physics Journal, 2013, 55 : 1169 - 1176
[12] Nonextensive Statistical Mechanics: Equivalence Between Dual Entropy and Dual Probabilities
Livadiotis, George
ENTROPY, 2020, 22 (06)
[13] Algebraic representation of an entropy group in statistical thermodynamics of nonextensive systems
Zaripov, R. G.
RUSSIAN PHYSICS JOURNAL, 2012, 55 (01) : 17 - 24
[14] Algebraic representation of an entropy group in statistical thermodynamics of nonextensive systems
R. G. Zaripov
Russian Physics Journal, 2012, 55 : 17 - 24

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