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Scaling in Aggregation Process with a Kernel Related to the Reaction Activities |
| KE Jian-Hong1;LIN Juan-Juan2;LIN Zhen-Quan1 |
| 1Department of Physics and Electronic Information Science, Wenzhou Normal College, Wenzhou 325027
2Department of Chemistry, Wenzhou Normal College, Wenzhou 325027 |
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| Cite this article: |
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KE Jian-Hong, LIN Juan-Juan, LIN Zhen-Quan 2003 Chin. Phys. Lett. 20 1390-1392 |
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Abstract We study the kinetics of a reversible aggregation model in which an aggregation reaction occurs between any two clusters and the fragmentation of the larger clusters occurs simultaneously. By investigating the mean-field rate equation of the process with a kernel related to the reaction activities we obtain the asymptotic solution of the cluster-mass distribution. It is found that the kinetic evolution behaviour of the clusters depends crucially on the details of the rate kernel. The cluster-mass distribution in the irreversible aggregation system obeys a conventional scaling law; while for the reversible case, the conventional scaling description of the cluster-mass distribution breaks down and the system falls in a modified scaling region.
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82.20.-w
68.43.Jk
89.75.Da
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Published: 01 August 2003
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| PACS: |
82.20.-w
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(Chemical kinetics and dynamics)
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68.43.Jk
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(Diffusion of adsorbates, kinetics of coarsening and aggregation)
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89.75.Da
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(Systems obeying scaling laws)
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