中国物理B ›› 2004, Vol. 13 ›› Issue (5): 765-771.doi: 10.1088/1009-1963/13/5/033

• 8000 CROSSDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Dynamics of aggregation－annihilation process with cluster removals

王向红, 柯见洪, 林振权   

  1. School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China
  • 收稿日期:2003-10-27 修回日期:2003-12-20 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    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).

Dynamics of aggregation－annihilation process with cluster removals

Wang Xiang-Hong (王向红), Ke Jian-Hong (柯见洪), Lin Zhen-Quan (林振权)   

  1. School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, China
  • Received:2003-10-27 Revised:2003-12-20 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    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.

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.

Key words: scaling behaviour, aggregation－annihilation process, cluster removal

中图分类号:  (Chemical thermodynamics)

  • 82.60.-s
05.70.Ln (Nonequilibrium and irreversible thermodynamics) 82.20.Db (Transition state theory and statistical theories of rate constants) 82.20.Pm (Rate constants, reaction cross sections, and activation energies)