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Chin. Phys. B, 2012, Vol. 21(6): 068201    DOI: 10.1088/1674-1056/21/6/068201

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
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.
Keywords:  catalysis-select migration      kinetic evolution behavior      rate equation      scaling law  
Received:  15 September 2011      Revised:  05 January 2012      Accepted manuscript online: 
PACS:  82.20.-w (Chemical kinetics and dynamics)  
  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)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10875086 and 10775104).
Corresponding Authors:  Lin Zhen-Quan     E-mail:

Cite this article: 

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 2012 Chin. Phys. B 21 068201

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