The q-exponential family in statistical physics

被引：1
|
作者：
Naudts, Jan [1 ]
机构：
[1] Univ Antwerp, Dept Nat Kunde, B-2610 Antwerp, Belgium
来源：
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2009年 / 7卷 / 03期
关键词：
q-exponential family; deformed logarithm; variational principle; q-Gaussian; microcanonical ensemble; MAXIMUM-ENTROPY; INFORMATION; DISTRIBUTIONS; TEMPERATURE;
D O I：
10.2478/s11534-008-0150-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The notion of a generalized exponential family is considered in the restricted context of non-extensive statistical physics. Examples are given of models belonging to this family. In particular, the q-Gaussians are discussed and it is shown that the configurational probability distributions of the micro-canonical ensemble belong to the q-exponential family.
引用
收藏
页码：405 / 413
页数：9
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