Eden growth model for aggregation of charged particles

Details Eden growth model for aggregation of charged particles Eden growth model for aggregation of charged particles

1998-06-28

arxiv.org/abs/cond-mat/9806345v1

Physics

Condensed Matter

Statistical Mechanics

Revtex, 9 pages with 12 postscript figures

Scientific paper

10.1007/s100510050958

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.

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