https://doi.org/10.1007/s100510050958
Eden growth model for aggregation of charged particles
1
Institute of Biocolloidal Chemistry named after F.D. Ovcharenko, NAS of Ukraine, 42 blvr. Vernadskogo Kyiv 252142, Ukraine
2
Kyiv Mogyla Academy University, 2 vul. Scovorody Kyiv 252145, Ukraine
3
Département de Génie Chimique, DTAI, Université de Technologie de Compiègne,
Centre de Recherche de Royallieu, B.P. 649, 60206 Compiègne Cedex, France
Received:
2
September
1998
Revised:
15
January
1999
Published online: 15 October 1999
The stochastic Eden model of charged particles aggregation in
two-dimensional systems is presented.
This model is governed by the following two parameters:
screening length of electrostatic interaction, 
, and
short-range attraction energy, E. Different patterns of finite and
infinite aggregates are observed.
They are of the following morphology types:
linear or linear with bending, worm-like, DBM (dense-branching
morphology), DBM with nucleus, and compact Eden-like. The transition between
the different modes of growth is studied and phase diagram of the growth
structures is obtained in 
co-ordinates. The detailed
aggregate structure analysis, including analysis of their scaling
properties, is presented. The scheme of the internal inhomogeneous structure
of aggregates is proposed.
PACS: 02.70.Lq – Monte Carlo and statistical methods / 36.40.Wa – Charged clusters / 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
