熵与无序度

Entropy and Degree of Chaoticity

本文提出系统的每一子系的平均熵S/N是系统状态无序程度的普适量度。用此量度可以解决各种有关的矛盾问题,如:均匀系统的整体与部分的熵不同而无序度却一样;激光等开放系统从无序态转变到有序态熵可是增大的。讨论了同一系统的不同描述层次的熵与无序度的概念及其间的关系,并指出一些文献对有关问题的论述所存在的错误。

This paper presents that the universal measure of the degree of chaoticity of states of different open systems is not the total entropy (S)but the average entropy of per subsystem (S/N)of every system. By this measure, the contradictions (so as: the part and the whole of an uniform system are equal in degree of chaoticity but different in entropy, and when a system of laser is transforming from the disorder-state to order-state, its entropy may be increasing)can be resolved well. In addition, we discuss as well the relations between the entropy and the degree of chaoticity of the different layers of description in detail, and point out what are the wrongs of the affirmation in some literatures about that the entropy of different layers can be transformed mutually and are conservative in total.