中文摘要：

综合介绍了非广延统计中用以推导幂律分布函数的方法,分别是最大熵原理、系综论和分子运动论等.从随机动力学角度分析了产生幂律分布的微观机制,指出这种机制源于相空间的非均匀特征,也与温度涨落相关联.这2种机制分别联系于加性噪声和乘性噪声.

英文摘要：

Summarized several methods to be used to deduce power law distribution in nonextensive statistics,such as maximum entropy principle,ensemble theory,molecular kinetics,and so on.Analyze the microscopic mechanism to produce such power law distribution from stochastic dynamics,and conclude that this mechanism is derived from the inhomogeneous character of phase space,also related to the fluctuation of temperature.They are associated to additive noise and multiplicative noise,respectively.