Justification of power law canonical distributions based on the generalized central-limit theorem

被引：29
|
作者：
Abe, S [1 ]
Rajagopal, AK
机构：
[1] Nihon Univ, Coll Sci & Technol, Chiba 2748501, Japan
[2] USN, Res Lab, Washington, DC 20375 USA
来源：
EUROPHYSICS LETTERS | 2000年 / 52卷 / 06期
关键词：
D O I：
10.1209/epl/i2000-00481-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A self-consistent thermodynamic framework is presented for power law canonical distributions of the Zipf-Mandelbrot type based on the generalized central-limit theorem by extending the discussion given bg Khinchin for deriving Gibbsian canonical ensemble theory. The thermodynamic Legendre transform structure is invoked in establishing its connection to nonextensive statistical mechanics.
引用
收藏
页码：610 / 614
页数：5
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