非完整统计系统中的概率分布

The Incomplete Statistical Probability Distribution

根据非完整统计的思想,利用最大熵原理,在约束条件下,推导了非广延参数相同和不同情况下正则系统的统计分布,并借助MATLAB绘制概率分布曲线.结果显示,当约束条件中非广延参数相同时,其概率分布为指数形式,这与Tsallis统计分布的幂率形式显然不一样;当约束条件中非广延参数不相同时,其概率分布不能精确求解,用图像形式反映出概率与能量之间的趋势.

According to the view of incomplete statistics,using the maximum entropy principle,under the constraint conditions,it derived the statistical distribution of canonical ensemble under the different nonextensive parameters and the same nonextensive parameters.Meanwhile,the probability distribution curves are plotted using MATLAB.The final result shows,when the non-extended parameters have the same values,its probability distribution is exponential form.This is obviously different from the power rate form of Tsallis statistics distribution;When the non-extended parameters have the different values,the probability distribution can not be solved accurately.The trend of probability and energy is reflected by image form.