Incomplete statistics: nonextensive generalizations of statistical mechanics

被引：71
|
作者：
Wang, QPA [1 ]
机构：
[1] Inst Super Mat Mans, F-72000 Le Mans, France
来源：
CHAOS SOLITONS & FRACTALS | 2001年 / 12卷 / 08期
关键词：
D O I：
10.1016/S0960-0779(00)00113-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Statistical mechanics is generalized on the basis of incomplete information theory for inexact or incomplete probability distribution. An incomplete normalization Sigma (w)(i=1), p(i)(q) = 1 with positive real q is proposed and, thanks to the q-deformed logarithmic function used as information measure I-q(N) = N1-q-1/1-q, leads to a nonextensive entropy: [GRAPHICS] The resulting incomplete statistical mechanics is proved to have the same theoretical characteristics as the Tsallis one for complete probability distributions. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1431 / 1437
页数：7
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