https://doi.org/10.1140/epjb/e2003-00362-5
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 kejianhong@yahoo.com.cn
Received:
22
August
2003
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
