Incomplete statistics: nonextensive generalizations of statistical mechanics
Incomplete statistics: nonextensive generalizations of statistical mechanics
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DOI：
10.1016/s0960-0779(00)00113-2
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发表时间：
2000-09
影响因子：
7.8
通讯作者：
Q. Wang
中科院分区：
文献类型：
--
作者：
Q. Wang
统计力学是在不完全信息理论基础上对不精确或不完全概率分布的推广。提出了一个不完全规范化∑i= 1 wpiq =1，其中q为正真实的，由于使用q-变形对数函数作为信息测度[公式：见正文]，导致非广延熵：[公式：见正文]由此产生的不完全统计力学被证明具有与完全概率分布的Tsallis力学相同的理论特征。
Statistical mechanics is generalized on the basis of incomplete information theory for inexact or incomplete probability distribution. An incomplete normalization ∑i=1wpiq=1 with positive real q is proposed and, thanks to the q-deformed logarithmic function used as information measure [Formula: see text] leads to a nonextensive entropy: [Formula: see text] The resulting incomplete statistical mechanics is proved to have the same theoretical characteristics as the Tsallis one for complete probability distributions.