Kinetics of migration-driven aggregation processes.
We study the kinetic behavior of the growth of aggregates driven by reversible migration between any two aggregates. For the simple system with the migration rate kernel K(k;j)=K(')(k;j) proportional, variant kj(upsilon) at which the monomers migrate between the aggregates of size k and those of size j, we find that for the upsilon< or =2 case the evolution of the system always obeys a scaling law. Moreover, the typical aggregate size grows as exp(2IA(0)t) in the case of upsilon=2 and as t(1/(2-upsilon)) in the case of -1<upsilon<2. In particular, when upsilon< or =-2, the typical aggregate size always grows as t(1/3) and the aggregate-size distribution approaches a similar scaling form.
Ke
Jianhong
J
Department of Physics, Wenzhou Normal College, China. kejianhong@yahoo.com
Lin
Zhenquan
Z