有效微观状态数与系综变换

Valid Number of Microscopic States and Transformation to Ensembles

首先提出有效微观状态数的概念 ,以此为出发点阐明尽管就其本质看它们都与孤立系的微观状态数的地位相当 .证明了对于不同独立参量的系统 ,相应的有效微观状态数都扮演了特性函数的角色 ,于是由独立参量的各种组合会有各种有效微观状态数 ,从而有各种相应的系综 .

The concept of valid number of microscopic states is given in this paper,acting as the base on which we discuss the various valid numbers of microscopic states with regard to certain systems under certain circumstances.It is to say that when two systems are different in their independent variables,the valid numbers of their microscopic states are different too.But looking through the appearance to the essence,we can see that these numbers correspond to the number of microscopic stases of the isolated system.We demonstrate that the valid number of microscopic states with regard to system with specific independent variables plays the role of the characteristic function.Accordingly,through various combinations of various independent variables,we give various valid numbers of microscopic states with respect to various ensembles.