| Dynamics of aggregation－annihilation process with cluster removals |
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| 引用本文： | 王向红,柯见洪,林振权.Dynamics of aggregation－annihilation process with cluster removals[J].中国物理 B,2004,13(5):765-771. |
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| 作者姓名： | 王向红 柯见洪 林振权 |
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| 作者单位： | School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China;School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China;School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China |
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| 基金项目： | 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). |
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| 摘 要： | 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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| 关 键 词： | scaling behaviour aggregation－annihilation process cluster removal |
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