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概率统计方法在高分子共聚合反应中的应用
引用本文:陈意秋,石明孝.概率统计方法在高分子共聚合反应中的应用[J].高校应用数学学报(A辑),1992,7(4):603-609.
作者姓名:陈意秋  石明孝
作者单位:杭州浙江大学应用数学系,杭州浙江大学应用数学系 邮码 310027,邮码 310027
摘    要:本文从聚合反应的机理出发,给出了一般的s元共聚反应的概率模型和实现共聚物大分子链增长过程的随机模拟方法,并讨论了动力学参数的估计问题.这对研究共聚物的统计类别,大分子链的微结构和预测共聚物的组成等都有重要意义.作者对苯乙烯—丙烯酸丁酯的二元共聚物的链增长过程做了实际模拟,并且采用Bayes方法估计动力学参数,所得结果与文献结果甚为一致.

关 键 词:共聚反应  高聚物  概率统计法

THE APPLICATION OF PROBABILISTIC AND STATISTICAL METHODS TO COPOLYMERIZATION REACTION
Chen Yiqiu Shi Mingxiao.THE APPLICATION OF PROBABILISTIC AND STATISTICAL METHODS TO COPOLYMERIZATION REACTION[J].Applied Mathematics A Journal of Chinese Universities,1992,7(4):603-609.
Authors:Chen Yiqiu Shi Mingxiao
Institution:Zhejing University
Abstract:Based on the mechanism of polymerization reaction, in this paper we give the probabilistic model of general s-elements, provide a random simulation method for chain growth in copolymer-ization reactions and discuss the estimation of kinetic parameters in these reactions. The work is sigificant for studying the statistical type of copolymers and microstructure of macromolecular chains, and for predicting the composition of copolymers. A simulated chain propagation process of the binary styrene-butyl acrylate copolymer has been experimentally modelled, and Bayesian method is used to make the kinetic parameter estimation. The latter appers in a good agreement with the obtained results by references.
Keywords:Copolymerization Reaction  Copolymer  A Macromolecular Chain  Probability Model  Markov Chain  Random Simulation  Parameter Estimation  
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