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
相关论文
共 50 条
  • [1] Extensive limit of a non-extensive entanglement entropy
    Kalogeropoulos, Nikos
    EUROPEAN PHYSICAL JOURNAL B, 2014, 87 (06): : 1 - 6
  • [2] When non-extensive entropy becomes extensive
    Tatsuaki, W
    Takeshi, S
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 301 (1-4) : 284 - 290
  • [3] Extensive limit of a non-extensive entanglement entropy
    Nikos Kalogeropoulos
    The European Physical Journal B, 2014, 87
  • [4] Entropy meters and the entropy of non-extensive systems
    Lieb, Elliott H.
    Yngvason, Jakob
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2014, 470 (2167):
  • [5] Non-extensive entropy of modified Gaussian quantum dot under polaron effects
    H. Bahramiyan
    R. Khordad
    H. R. Rastegar Sedehi
    Indian Journal of Physics, 2018, 92 : 941 - 945
  • [6] Non-extensive entropy of modified Gaussian quantum dot under polaron effects
    Bahramiyan, H.
    Khordad, R.
    Sedehi, H. R. R.
    INDIAN JOURNAL OF PHYSICS, 2018, 92 (07) : 941 - 945
  • [7] Extensive Renyi statistics from non-extensive entropy
    Parvan, AS
    Biró, TS
    PHYSICS LETTERS A, 2005, 340 (5-6) : 375 - 387
  • [8] Is galaxy distribution non-extensive and non-Gaussian?
    Nakamichi, A
    Morikawa, M
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 341 : 215 - 233
  • [9] Automatic Defect Detection for Mango Fruit Using Non-Extensive Entropy with Gaussian Gain
    Tiemtud, Kotchakorn
    Saprasert, Pornpimon
    Tormo, Thanikarn
    Chaturantabut, Saifon
    THAI JOURNAL OF MATHEMATICS, 2020, : 339 - 349
  • [10] Using Non-extensive Entropy for Text Classification
    Fu, Lin
    Hou, Yuexian
    EMERGING INTELLIGENT COMPUTING TECHNOLOGY AND APPLICATIONS, PROCEEDINGS, 2009, 5754 : 908 - 917
12345