Eur. Phys. J. B 11, 469-480 (1999)
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

Abstract

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.