Geometric Representation of the Group of Entropy Vectors in Nonextensive Statistical Mechanics

被引：4
作者：
Zaripov, R. G. [1 ]
机构：
[1] Russian Acad Sci, Kazan Sci Ctr, Inst Mech & Machine Bldg, Kazan, Russia
来源：
RUSSIAN PHYSICS JOURNAL | 2014年 / 57卷 / 07期
关键词：
nonextensivity; four-dimensional geometry; group; entropy; Hadamard matrix; THERMODYNAMICS; SYSTEMS;
D O I：
10.1007/s11182-014-0318-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A geometric representation of the group of nonextensive entropy vectors in four-dimensional space is derived. The three-dimensional hyperbolic entropy vector and the vector-parameter of hyperbolic angles are determined. A composition law for hyperbolic entropy vectors with quadratic nonlinearity is given and an interrelationship with three distributions characterizing the system is presented.
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页码：861 / 869
页数：9
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