Properties of the "non-extensive Gaussian" entropy

被引：8
|
作者：
Okonomou, Th. [1 ]
机构：
[1] Natl Ctr Sci Res Demokritos, Inst Chem Phys, Athens 15310, Greece
[2] Univ Athens, Sch Med, Dept Biol Chem, GR-11527 Athens, Greece
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2007年 / 381卷
关键词：
lesche stability; thermodynamic stability; MaxEnt principle; Lambert W-function;
D O I：
10.1016/j.physa.2007.03.010
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The present work investigates the Lesche stability (experimental robustness), the thermodynamic stability, the Legendre structure of thermodynamics, and derives the maximum entropy distribution of the one-parametric "non-extensive Gaussian" entropy. We show that this entropy definition fulfills both stability conditions for all values of its parameter (q is an element of R). The entropy maximizer contains the Lambert W-function, which allows the preservation of the Legendre transformations. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：155 / 163
页数：9
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