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Cm(t);对溶胶-凝胶相变的相变时间进行讨论,求出相变时间tc;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Cm(t)的长时渐进行为. |
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 |
DOI: |
投稿时间:1999-06-28 |
基金项目:国家自然科学基金资助项目(59861001)。 |
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Generalized Kinetics of Gelation in n-polymer Irreversible Aggrevation Processes |
Xue Yu
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(Dept. of Phys., Guangxi Univ., 10 Xixiangtanglu, Nanning, Guangxi, 530004, China) |
Abstract: |
The exact solution (size distribution Cm(t) and moments Mn(t)) of generalized Smoluchvski' equation (generalized F-model) with a coagulation rate is given for monodispers initial distribution Cm(0) in the sol and gel phases,where generalized F-model is assumed interaction between the sol (t<tc) and gel phases (t ≥ tc). The gel point, sol mass and gel mass near the non-equilibrium phase transition are calculated.The behavior of Cm(t) is obtained for m→∞,t→∞. |
Key words: coagulation kernal size distribution of clusters n-polymer irreversible aggrevation processes generalized kinetics of gelation solution-gelation transition |