Kinetics of catalytically activated aggregation-fragmentation process

作者：高艳; 王海锋; 林振权; 薛新英

来源：Chinese Physics B, 2011, 308-315.

• aggregation
• fragmentation
• catalytically activated reaction
• rate equation

We propose a catalytically activated aggregation-fragmentation model of three species,in which two clusters of species A can coagulate into a larger one under the catalysis of B clusters;otherwise,one cluster of species A will fragment into two smaller clusters under the catalysis of C clusters.By means of mean-field rate equations,we derive the asymptotic solutions of the cluster-mass distributions a k (t) of species A,which is found to depend strongly on the competition between the catalyzed aggregation process and the catalyzed fragmentation process.When the catalyzed aggregation process dominates the system,the cluster-mass distribution a k (t) satisfies the conventional scaling form.When the catalyzed fragmentation process dominates the system,the scaling description of a k (t) breaks down completely and the monodisperse initial condition of species A would not be changed in the long-time limit.In the marginal case when the effects of catalyzed aggregation and catalyzed fragmentation counteract each other,a k (t) takes the modified scaling form and the system can eventually evolve to a steady state.