n体不可逆聚集过程的凝胶动力学

Generalized Kinetics of Gelation in n-polymer Irreversible Aggrevation Processes

关键词:  凝结核  集团尺寸分布  n体不可逆聚集过程  凝胶动力学  溶胶-凝胶相变

Key words:  coagulation kernal  size distribution of clusters  n-polymer irreversible aggrevation processes  generalized kinetics of gelation  solution-gelation transition

摘要:

提出在不可逆聚集过程中的溶胶相与凝胶相相互作用的广义F-模型,对其动力学方程进行求解,得到集团尺寸分布C_m(t);对溶胶-凝胶相变的相变时间进行讨论,求出相变时间t_c;对系统的溶胶相和凝胶相的质量变化进行了讨论;对广义F-模型与广义S-模型进行了比较;还分别讨论这两个模型的集团尺寸分布C_m(t)的长时渐进行为.

Abstract:

The exact solution (size distribution C_m(t) and moments M_n(t)) of generalized Smoluchvski' equation (generalized F-model) with a coagulation rate is given for monodispers initial distribution C_m(0) in the sol and gel phases,where generalized F-model is assumed interaction between the sol (t<t_c) and gel phases (t ≥ t_c). The gel point, sol mass and gel mass near the non-equilibrium phase transition are calculated.The behavior of C_m(t) is obtained for m→∞,t→∞.