聚合物极化的非马尔可夫过程

聚合物极化是典型的非马尔可夫过程，其中存在极化强度等于零而与温度或时间均无关的原始态．由此以后经历的过程，只要温度不太高而电场不太强，体系的热平衡极化性质确定并和弱场有线性关系而同以前的历史无关，但必须计及由原始态起的全过程的记忆效应．聚合物的动态极化性质，只能在全过程中以经历过的不同热平衡态隔开的每个片段中分别研究，不同片段的动态过程可以有完全不同的规律．给出了研究非马尔可夫过程的实验和理论方法实例

The Non Markovian Process of Polarization in Polymers

The polarization in polymers is a typical non Markovian process, which exists a temperature and time independent virgin state with zero polarization. The equilibrium polarization property of the system is determined for the non Markovian process. The polarization is shown to be linearly related to the weak applied field provided the sample temperature is not too high and is shown to be independent of the history before the virgin state is reached. The path of the non Markovian process can be divided into finite number of segments. Every segment of the path is characterized by an equilibrium value of thermodynamic quantity. The kinectic processes from every segment to the next one are studied according to causality for several practical examples.