中国物理B ›› 2012, Vol. 21 ›› Issue (6): 68201-068201.doi: 10.1088/1674-1056/21/6/068201
• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇 下一篇
吴远刚, 林振权, 柯见洪
Wu Yuan-Gang(吴远刚), Lin Zhen-Quan(林振权)†, and Ke Jian-Hong(柯见洪)
摘要: We propose a catalysis-select migration driven evolution model of two-species (A- and B-species) aggregates, where one unit of species A migrates to species B under the catalysts of species C, while under the catalysts of species D the reaction will become one unit of species B migrating to species A. Meanwhile the catalyst aggregates of species C perform self-coagulation, as do the species D aggregates. We study this catalysis-select migration driven kinetic aggregation phenomena using the generalized Smoluchowski rate equation approach with C species catalysis-select migration rate kernel K(k;i,j)=Kkij and D species catalysis-select migration rate kernel J(k;i,j)=Jkij. The kinetic evolution behaviour is found to be dominated by the competition between the catalysis-select immigration and emigration, in which the competition is between JD0 and KC0 (D0 and C0 are the initial numbers of the monomers of species D and C, respectively). When JD0-KC0>0, the aggregate size distribution of species A satisfies the conventional scaling form and that of species B satisfies a modified scaling form. And in the case of JD0-KC0<0, species A and B exchange their aggregate size distributions as in the above JD0-KC0>0 case.
中图分类号: (Chemical kinetics and dynamics)