The stochastic Eden model of charged particles aggregation in two-dimensional
systems is presented. This model is governed by two parameters: screening
length of electrostatic interaction, $\lambda $, and short range attraction
energy, $E$. Different patterns of finite and infinite aggregates are observed.
They are of following types of morphologies: linear or linear with bending,
warm-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 $\lambda, E $
co-ordinates. The detailed aggregate structure analysis, including analysis of
their fractal properties, is presented. The scheme of the internal
inhomogeneous structure of aggregates is proposed.Comment: Revtex, 9 pages with 12 postscript figure