Eden growth model for aggregation of charged particles

TL;DR

This paper introduces a stochastic Eden model for charged particle aggregation in 2D, exploring how electrostatic screening and attraction energy influence aggregate morphology and fractal properties.

Contribution

It presents a novel Eden growth model incorporating electrostatic interactions, analyzing various aggregate morphologies and their phase transitions based on key parameters.

Findings

Identified different aggregate morphologies including linear, warm-like, and dense-branching forms.

Mapped the phase diagram of growth structures in terms of screening length and attraction energy.

Analyzed fractal properties and internal structures of the aggregates.

Abstract

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.