Kinetic evolutionary behavior of catalysis-select migration

doi:10.1088/1674-1056/21/6/068201

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

Kinetic evolutionary behavior of catalysis-select migration

吴远刚, 林振权, 柯见洪

Department of Physics, Wenzhou University, Wenzhou 325035, China

收稿日期:2011-09-15 修回日期:2012-01-05 出版日期:2012-05-01 发布日期:2012-05-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875086 and 10775104).

Kinetic evolutionary behavior of catalysis-select migration

Wu Yuan-Gang(吴远刚), Lin Zhen-Quan(林振权)^†, and Ke Jian-Hong(柯见洪)

Department of Physics, Wenzhou University, Wenzhou 325035, China

Received:2011-09-15 Revised:2012-01-05 Online:2012-05-01 Published:2012-05-01
Contact: Lin Zhen-Quan E-mail:linzhenquan@yahoo.com.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875086 and 10775104).

摘要/Abstract

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.

关键词: catalysis-select migration, kinetic evolution behavior, rate equation, scaling law

Abstract: 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.

Key words: catalysis-select migration, kinetic evolution behavior, rate equation, scaling law

中图分类号: (Chemical kinetics and dynamics)

82.20.-w

05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 68.43.Jk (Diffusion of adsorbates, kinetics of coarsening and aggregation) 89.75.Da (Systems obeying scaling laws)

吴远刚, 林振权, 柯见洪. Kinetic evolutionary behavior of catalysis-select migration[J]. 中国物理B, 2012, 21(6): 68201-068201.

Wu Yuan-Gang(吴远刚), Lin Zhen-Quan(林振权), and Ke Jian-Hong(柯见洪) . Kinetic evolutionary behavior of catalysis-select migration[J]. Chin. Phys. B, 2012, 21(6): 68201-068201.

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Kinetic evolutionary behavior of catalysis-select migration

Kinetic evolutionary behavior of catalysis-select migration

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