Aggregate size distributions in migration driven growth models
School of Physics and Electronic Information, Wenzhou Normal College, Wenzhou 325027, P.R. China
Corresponding author: a email@example.com
Revised: 14 October 2003
Published online: 23 December 2003
The kinetics of aggregate growth through reversible migrations between any two aggregates is studied. We propose a simple model with the symmetrical migration rate kernel at which the monomers migrate from the aggregates of size k to those of size j. The results show that for the case, the aggregate size distribution approaches a conventional scaling form; moreover, the typical aggregate size grows as in the case and as in the case. We also investigate another simple model with the asymmetrical rate kernel (), which exhibits some scaling properties quite different from the symmetrical one. The aggregate size distribution satisfies the conventional scaling form only in the case of and , and the typical aggregate size grows as .
PACS: 82.20.-w – Chemical kinetics and dynamics / 68.43.Jk – Diffusion of adsorbates, kinetics of coarsening and aggregation / 89.75.Da – Systems obeying scaling laws
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003