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 31 条

[1] Algebraic Representation of the Group of Havrda-Charvat-Daroczy Entropy Vectors in Nonextensive Statistical Mechanics
Zaripov, R. G.
RUSSIAN PHYSICS JOURNAL, 2016, 59 (08) : 1135 - 1144
[2] Group of Havrda–Charvat–Daroczy Entropy Vectors in Nonextensive Statistical Mechanics
R. G. Zaripov
Russian Physics Journal, 2016, 59 : 240 - 249
[3] Algebraic Representation of the Group of Havrda–Charvat–Daroczy Entropy Vectors in Nonextensive Statistical Mechanics
R. G. Zaripov
Russian Physics Journal, 2016, 59 : 1135 - 1144
[4] Geometric Representation of the Group of Entropy Vectors in Nonextensive Statistical Mechanics
Zaripov, R. G.
RUSSIAN PHYSICS JOURNAL, 2014, 57 (07) : 861 - 869
[5] Algebraic Representation of the Group of Entropy Vectors in Nonextensive Statistical Mechanics
R. G. Zaripov
Russian Physics Journal, 2015, 57 : 1547 - 1555
[6] Algebraic Representation of the Group of Entropy Vectors in Nonextensive Statistical Mechanics
Zaripov, R. G.
RUSSIAN PHYSICS JOURNAL, 2015, 57 (11) : 1547 - 1555
[7] Geometric Representation of the Group of Entropy Vectors in Nonextensive Statistical Mechanics
R. G. Zaripov
Russian Physics Journal, 2014, 57 : 861 - 869
[8] Geometric Representation of the Entropy Group in Nonextensive Statistical Mechanics
Zaripov, R. G.
RUSSIAN PHYSICS JOURNAL, 2014, 57 (01) : 6 - 15
[9] Geometric Representation of the Entropy Group in Nonextensive Statistical Mechanics
R. G. Zaripov
Russian Physics Journal, 2014, 57 : 6 - 15
[10] Renormalization group approach to nonextensive statistical mechanics
Mendes, RS
Tsallis, C
PHYSICS LETTERS A, 2001, 285 (5-6) : 273 - 278

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