Thermoequilibrium statistics for a finite system with energy nonextensivity  

作　　者：ZHENG Liang LI Wei 

机构地区：[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

出　　处：《Chinese Science Bulletin》2011年第34期3666-3670,共5页

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)

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.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.

关 键 词：有限系统 统计数据 能源 分布函数 第一原理 熵函数 

分 类 号：O211.3[理学—概率论与数理统计]