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利用数学证明,简单算例及一复杂两相系统的谱熵计算,论证了如下原理:在同样的平稳随机输入下,稳定的线性系统输出谱熵最大,不稳定的线性系统熵则处于相对小的水平。由于谱熵描述系统输出的不确定性,同时热力学第二定律规定的自然进程的方向性,总是使自发过程是向着不确定性增加的方向发展,反向的自发过程不存在的,因此似乎可以按如下思路来认识系统稳定性的物理机制:一个系统之所以处于稳定的状态,是因为对它的偏离会导致谱熵的减小,和自然进程的方向性相反,因此这种偏离只能被缩小,系统返回原有状态;相反地,对一不稳定状态的偏离是和谱熵增加的方向一致的,因此它可以自发地发展下去,导致离原有状态愈来愈远。
By using mathematical proofs, simple examples and the spectral entropy calculation of a complex two-phase system, the following principle is proved: Under the same stationary random input, the output spectrum entropy of the stable linear system is the maximum and the unstable linear system entropy is relatively small s level. Since the spectral entropy describes the uncertainty of the output of the system and the direction of the natural process defined by the second law of thermodynamics always leads the spontaneous process to develop in the direction of increased uncertainty and the reverse spontaneous process does not exist, The physical mechanism of system stability can be understood as follows: The reason why a system is in a stable state is that the deviation from it leads to the decrease of spectral entropy, which is opposite to that of the natural process. Therefore, this deviation can only be achieved Is reduced and the system returns to its original state. Conversely, the deviation from an unstable state is consistent with the direction in which the spectral entropy increases so that it can spontaneously develop, further and further away from its original state.