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Thermoequilibrium statistics for a finite system with energy nonextensivity
  • ISSN号：1001-6538
  • 期刊名称：Chinese Science Bulletin
  • 时间：0
  • 页码：3666-3670
  • 分类：O211.6[理学—概率论与数理统计;理学—数学] C829.2[社会学—统计学;经济管理]
  • 作者机构：[1]Institute of Particle Physics and Complexity Science Center, Central China Normal University, Wuhan 430079, China, [2]Max-Planck-lnstitutefor Mathematics in the Sciences, Leipzig 04103, Germany
  • 相关基金：supported by the National Natural Science Foundation of China （10647125, 10635020, 10975057, 10975062）; the Program of Introducing Talents of Discipline to Universities （B08033）
  • 相关项目：基于复杂网络的传播系统中临界性与适应性研究
作者： Zheng Liang|Li Wei|
关键词： 有限系统, 统计数据, 能源, 分布函数, 第一原理, 熵函数, finite system, energy nonextensivity, first-principles method, canonical distribution function
中文摘要：

第一原则的推导为考虑 nonextensive 精力的一个有限自动调温器正规分布被介绍。Parameterizing 这个精力由，我们由调整为分发函数导出一种明确的形式，然后探索在这些函数和精力 nonextensivity 之间的重要关系，也，象系统那样的另外的系统参数缩放。变化的熵功能也从这些分发功能被导出……

英文摘要：

A first-principles derivation is presented of canonical distributions for a finite thermostat taking into account nonextensive energy. Parameterizing this energy by λ , we derive an explicit form for the distribution functions by regulating λ , and then explore the nontrivial relationship between these functions and energy nonextensivity, as well other system parameters such as system size. A variational entropy function is also derived from these distribution functions.

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