Solvable Aggregation-Migration-Annihilation Processes of a Multispecies System

An aggregation-migration-annihilation model is proposed for a two-species-group system. In the system, aggregation reactions occur between any two aggregates of the same species and migration reactions between two different species in the same group and joint annihilation reactions between two speci...

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Bibliographic Details
Published in:Communications in theoretical physics 2006-07, Vol.46 (1), p.161-166, Article 161
Main Author: KE Jian-Hong LIN Zhen-Quan CHEN Xiao-Shuang
Format: Article
Language:English
Subjects:
标度法则
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Summary:An aggregation-migration-annihilation model is proposed for a two-species-group system. In the system, aggregation reactions occur between any two aggregates of the same species and migration reactions between two different species in the same group and joint annihilation reactions between two species from different groups. The kinetics of the system is then investigated in the framework of the mean-field theory. It is found that the scaling solutions of the aggregate size distributions depend crucially on the ratios of the equivalent aggregation rates of species groups to the annihilation rates. Each species always scales according to a conventional or modified scaling form; moreover, the governing scaling exponents are nonuniversal and dependent on the reaction details for most cases.
ISSN:0253-6102
DOI:10.1088/0253-6102/46/1/034