Degree relaxation phenomena

The CMC-AO system was investigated for the effect of molecular weight, degree of substitution (d.s.) in carboxymethyl groups, ratio of anionic site (S) concentration to cationic dye (D) concentration and also concentration of dye, on the dye-polyanion relaxation phenomenon. 

As a simple example of the reception phenomenon, one can consider the behavior of moving balls in a lottery basket. The basket has several holes in it, and the vyin is determined by the ball that falls stochastically into one of them. In the system, physical entropy relates only to quickly relaxing degrees of freedom, vyhile their behavior is determined by the nature of the ball in the basket but independent of vyhether the ball is in a hole. Hovyever, vyhile for the physical entropy the information quantity is zero, for the second situation, vyhen the ball is already in a given hole, the information equals Thus, the reception of information arises... 

These phenomena lead us to a rather complicated situation. The first phenomenon reminds us of ergodicity, the realization of microcanonical distribution in systems with many degrees of freedom and the validity of statistical mechanics. We know that KAM tori cannot divide the phase space (or energy surface) for systems with many degrees of freedom, and the first phenomenon tells us that two neighborhoods in different parts of the phase space are connected not only topologically but also dynamically. In this sense the phenomenon can be considered as an elementary process of relaxation in systems with many degrees of freedom. 

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