非晶态固体高聚物链构象的随机几何特性

RANDOM GEOMETRY PROPERTIES OF CHAIN CONFORMATION IN AMORPHOUS SOLID POLYMER

本文尝试建立无规链相似于无规行走的模型,采用随机过程及平均场近似的方法研究非晶态固体高聚物的空间几何结构,如链构象的统计分布等,所得结果表明此模型可以成立,而且还表明此模型可用来描述链构象随机几何特性的若干方面。

In this article the model which we are discussing in an alike model. Each individual chain is regarded as adopting a random coil conformation, a conformation akin to that describable as a three dimensional random walk. The technique of Markov Process and mean field is applied by us. A is a random vector. Random chain and walk are Markov Process. Statistical distribution function of random chain and walk are Gaussian distribution function. The technique of mean field is simply to treat it as uniform distribution of segments over a sphere of radius R. The Gaussian distribution function is a constant within the sphere, zero outside. The total number (intrachain+interchain) of interaction of segments is constant. In amorphous solid polymer, the density profile and repulsive potential are flat, therefore, no potential gradient acts on the chain, the distribution function of chain conformation is determined by disorder.