有序与无序的数学理论(Ⅱ)  

MATHEMATICAL THEORY OF ORDER AND DISORDER(Ⅱ)

作　　者：黄番华[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2006年第2期11-21,42,共12页Journal of South China Normal University(Natural Science Edition)

摘　　要：首先对粒子可辨的系统给出宏观态及系统平均无序度的定义,然后给出与统计物理中3种统计法相应的系统平均无序度以及无序度涨落的计数定理;之后,将宏观态的无序度推广到粒子不全可辨乃至r-色分配的情形上去,并且给出有关的计算方法及公式.It is firstly defined the definition of degree of disorder on macrostate in the system that has distinguishable particles, next it gave the defintions and counting theorems of system average degree of disorder and fluctuation of disorder degree. The theorems are corresponging with three statistic methods of statistic physics. Thirdly it popularizes the macrostate disorder degree into incompletely distinguishable particles even though the r - colors distribution. Further it had given the relative counting methods and formulas.

关 键 词：宏观态 微观态数 无序度 涨落 r-色分配 

分 类 号：O157[理学—数学]