| Pregelation Behaviour of Coagulation Processes with the Constant-Reaction-Number Kernel |
| |
| 引用本文： | 柯见洪 林振权 陈效双. Pregelation Behaviour of Coagulation Processes with the Constant-Reaction-Number Kernel[J]. 中国物理快报, 2006, 23(3): 720-723 |
| |
| 作者姓名： | 柯见洪 林振权 陈效双 |
| |
| 作者单位： | [1]School of Phvsics and Electronic Information, Wenzhou University, Wenzhou 325027 [2]National Laboratory of Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083 |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 10305009 and 10275048, and the Zhejiang Provincial Natural Science Foundation of China under Grant No 102067. |
| |
| 摘 要： | We propose an irreversible binary coagulation model with a constant-reaction-number kernel, in which, among all the possible binary coagulation reactions, only p reactions are permitted to take place at every time. By means of the generalized rate equation we investigate the kinetic behaviour of the system with the reaction rate kernel K（i;j） = （ij）^w （0 ≤w〈1/2）, at which an i-mer and a j-mer coagulate together to form a large one. It is found that for such a system there always exists a gelation transition at a finte time to, which is in contrast to the ordinary binary coagulation with the same rate kernel. Moreover, the pre-gelation behaviour of the cluster size distribution near the gelation point falls in a scaling regime and the typical cluster size grows as （to - t）-1/（1-2w）. On the other hand, our model can also provide some predictions for the evolution of the cluster distribution in multicomponent complex networks.
|
| 关 键 词： | 凝结过程 多组份复杂网络 凝胶 蔟尺寸分配 非平衡动力学 |
| 收稿时间： | 2005-12-01 |
| 修稿时间： | 2005-12-01 |
Pregelation Behaviour of Coagulation Processes with the Constant-Reaction-Number Kernel |
| |
| KE Jian-Hong, LIN Zhen-quan, CHEN Xiao-Shuang. Pregelation Behaviour of Coagulation Processes with the Constant-Reaction-Number Kernel[J]. Chinese Physics Letters, 2006, 23(3): 720-723 |
| |
| Authors: | KE Jian-Hong LIN Zhen-quan CHEN Xiao-Shuang |
| |
| Abstract: | |
| |
| Keywords: | |
| 本文献已被 维普 等数据库收录！ |
