Scaling in Aggregation Process with a Kernel Related to the Reaction Activities
KE Jian-Hong1, LIN Juan-Juan2, LIN Zhen-Quan1
1Department of Physics and Electronic Information Science, Wenzhou Normal College, Wenzhou 325027
2Department of Chemistry, Wenzhou Normal College, Wenzhou 325027
Scaling in Aggregation Process with a Kernel Related to the Reaction Activities
KE Jian-Hong1;LIN Juan-Juan2;LIN Zhen-Quan1
1Department of Physics and Electronic Information Science, Wenzhou Normal College, Wenzhou 325027
2Department of Chemistry, Wenzhou Normal College, Wenzhou 325027
Abstract： We study the kinetics of a reversible aggregation model in which an aggregation reaction occurs between any two clusters and the fragmentation of the larger clusters occurs simultaneously. By investigating the mean-field rate equation of the process with a kernel related to the reaction activities we obtain the asymptotic solution of the cluster-mass distribution. It is found that the kinetic evolution behaviour of the clusters depends crucially on the details of the rate kernel. The cluster-mass distribution in the irreversible aggregation system obeys a conventional scaling law; while for the reversible case, the conventional scaling description of the cluster-mass distribution breaks down and the system falls in a modified scaling region.
KE Jian-Hong;LIN Juan-Juan;LIN Zhen-Quan. Scaling in Aggregation Process with a Kernel Related to the Reaction Activities[J]. 中国物理快报, 2003, 20(8): 1390-1392.
KE Jian-Hong, LIN Juan-Juan, LIN Zhen-Quan. Scaling in Aggregation Process with a Kernel Related to the Reaction Activities. Chin. Phys. Lett., 2003, 20(8): 1390-1392.
2003, Vol. 20 
