Abstract We have studied the kinetic behaviours of irreversible aggregation－annihilation models with cluster removals. In the models, an irreversible aggregation reaction occurs between any two clusters of the same species and an irreversible annihilation reaction occurs simultaneously between two different species; meanwhile, the clusters of large size are gradually removed from the system. In a mean-field limit, we obtain the general solutions of the cluster-mass distributions for the cases with an arbitrary removal probability. We found that the cluster-mass distribution of either species satisfies a generalized or modified scaling form. The results also indicate that the evolution behaviours of the systems depend strongly on the details of the reaction events.
Received: 27 October 2003
Revised: 20 December 2003
Accepted manuscript online:
(Rate constants, reaction cross sections, and activation energies)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10305009, 10275048 and 10175008) and by the Natural Science Foundation of Zhejiang Province, China (Grant Nos 102067 and 101002).
Cite this article:
Wang Xiang-Hong (王向红), Ke Jian-Hong (柯见洪), Lin Zhen-Quan (林振权) (林振权) Dynamics of aggregation－annihilation process with cluster removals 2004 Chinese Physics 13 765
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