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2004 Volume 13 Issue 5
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Wang Xiang-Hong, Ke Jian-Hong, Lin Zhen-Quan. 2004: Dynamics of aggregation-annihilation process with cluster removals, Chinese Physics B, 13(5): 765-771.
Citation: Wang Xiang-Hong, Ke Jian-Hong, Lin Zhen-Quan. 2004: Dynamics of aggregation-annihilation process with cluster removals, Chinese Physics B, 13(5): 765-771.
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Dynamics of aggregation-annihilation process with cluster removals

  • School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China

  • Available Online: 30/05/2004
  • Fund Project: the National Natural Science Foundation of China(Grant 10305009, 10275048 and 10175008)%by the Natural Science Foundation of Zhejiang Province, China(Grant 102067 and 101002)
  • 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.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Dynamics of aggregation-annihilation process with cluster removals

  • Available Online: 30/05/2004

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.

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