A statistical theory for self-condensing vinyl polymerization

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	A statistical theory for self-condensing vinyl polymerization
	Z. F. Zhao; H. J. Wang; X. W. Ba
	2009
发表期刊	Journal of Chemical Physics
ISSN	0021-9606
卷号	131 期号:7
摘要	The method of statistical mechanics is used to investigate several properties of self-condensing vinyl polymerization system. Under the framework of mean field theory, two types of canonical partition functions of the system are constructed from viewpoints of functional groups and polymers, and by which the explicit expressions of equilibrium free energy and the law of mass action are obtained. Based on the free energy, the same size distribution function of hyperbranched polymers is derived by two different methods, which is identical with the previous result given by solving the kinetic differential equations. This implies that the two partition functions are consistent with each other. Furthermore, in terms of the size distribution function, the kth radius of gyration as well as its scaling behavior near the critical point are studied, and the corresponding scaling law is given. As an application, the isothermal compressibility is derived on the basis of equation of state, which indicates that the spatial correlation between monomers increases with the increasing of conversion of the double bonds, and reaches the maximum at the critical point. In addition, it is shown that a usual treatment on the polydispersity index would lead it to infinite, which is not agreement with the true result of 1 at the end of the reaction system. To clarify this fact, we find that the correlation length plays an important role, and then by using asymptotic forms of the size distribution and the second moment, the reasonable result can be carried out.
部门归属	[zhao, zuo-fei; wang, hai-jun; ba, xin-wu] hebei univ, coll chem & environm sci, baoding 071002, peoples r china. [wang, hai-jun] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. [wang, hai-jun; ba, xin-wu] hebei univ, key lab med chem & mol diag, minist educ, baoding 071002, peoples r china.;wang, hj (reprint author), hebei univ, coll chem & environm sci, baoding 071002, peoples r china;whj@mail.hbu.cn
关键词	Compressibility Differential Equations Free Energy Polymerisation Polymers Statistical Mechanics Transfer Radical Polymerization Molecular-weight Distribution Dendritic Methacrylated Polyesters Monte-carlo-simulation Ab-asterisk Monomers Equal Rate Constants Hyperbranched Polymers Multifunctional Initiator 2-((2-bromopropionyl)Oxy)Ethyl Acrylate Conversion Dependence
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WOS记录号	WOS:000269287200001
引用统计	被引频次：21[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/32607
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Z. F. Zhao,H. J. Wang,X. W. Ba. A statistical theory for self-condensing vinyl polymerization[J]. Journal of Chemical Physics,2009,131(7).
APA	Z. F. Zhao,H. J. Wang,&X. W. Ba.(2009).A statistical theory for self-condensing vinyl polymerization.Journal of Chemical Physics,131(7).
MLA	Z. F. Zhao,et al."A statistical theory for self-condensing vinyl polymerization".Journal of Chemical Physics 131.7(2009).