| 非广延统计的幂律分布律及其微观动力学基础 |
| |
| 引用本文： | 郑亚辉,梁法库,罗旺,任晓辉.非广延统计的幂律分布律及其微观动力学基础[J].高师理科学刊,2016(7):34-41. |
| |
| 作者姓名： | 郑亚辉 梁法库 罗旺 任晓辉 |
| |
| 作者单位： | 齐齐哈尔大学理学院,黑龙江齐齐哈尔,161006 |
| |
| 基金项目： | 黑龙江省教育厅科学技术研究项目(12541883)；国家自然科学基金资助项目(11405092) |
| |
| 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.
|
| 关 键 词： | 幂律分布 非均匀性 乘性噪声 |
The power law distribution function of nonextensive statistics and its microscopic dynamic foundation |
| |
| Abstract: | 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. |
| |
| Keywords: | power law distribution inhomogeneity multiplicative noise |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
