中国物理B ›› 2005, Vol. 14 ›› Issue (12): 2602-2608.doi: 10.1088/1009-1963/14/12/037

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

Competition between aggregation and migration processes of a multi-species system

柯见洪, 庄友谊, 林振权, 叶鹏   

  1. School of Physics and Electronic Information,Wenzhou University, Wenzhou 325027, China
  • 收稿日期:2005-05-20 修回日期:2005-06-20 出版日期:2005-12-20 发布日期:2005-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10305009 and 10275048) and the Zhejiang Provincial Natural Science Foundation of China (Grant No 102067).

Competition between aggregation and migration processes of a multi-species system

Ke Jian-Hong (柯见洪), Zhuang You-Yi (庄友谊), Lin Zhen-Quan (林振权), Ye Peng (叶鹏)   

  1. School of Physics and Electronic Information,Wenzhou University, Wenzhou 325027, China
  • Received:2005-05-20 Revised:2005-06-20 Online:2005-12-20 Published:2005-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10305009 and 10275048) and the Zhejiang Provincial Natural Science Foundation of China (Grant No 102067).

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摘要： We propose a solvable multi-species aggregation--migration model, in which irreversible aggregations occur between any two aggregates of the same species and reversible migrations occur between any two different species. The kinetic behaviour of an aggregation--migration system is then studied by means of the mean-field rate equation. The results show that the kinetics of the system depends crucially on the details of reaction events such as initial concentration distributions and ratios of aggregation rates to migration rate. In general, the aggregate mass distribution of each species always obeys a conventional or a generalized scaling law, and for most cases at least one species is scaled according to a conventional form with universal constants. Moreover, there is at least one species that can survive finally.

Abstract: We propose a solvable multi-species aggregation--migration model, in which irreversible aggregations occur between any two aggregates of the same species and reversible migrations occur between any two different species. The kinetic behaviour of an aggregation--migration system is then studied by means of the mean-field rate equation. The results show that the kinetics of the system depends crucially on the details of reaction events such as initial concentration distributions and ratios of aggregation rates to migration rate. In general, the aggregate mass distribution of each species always obeys a conventional or a generalized scaling law, and for most cases at least one species is scaled according to a conventional form with universal constants. Moreover, there is at least one species that can survive finally.

Key words: kinetic behaviour, aggregation, migration, scaling law

中图分类号:  (Rate constants, reaction cross sections, and activation energies)

  • 82.20.Pm
82.70.-y (Disperse systems; complex fluids)