title: Attracted diffusion-limited aggregation.
abstract: In this paper we present results of extensive Monte Carlo simulations of diffusion-limited aggregation (DLA) with a seed placed on an attractive plane as a simple model in connection with the electrical double layers. We compute the fractal dimension of the aggregated patterns as a function of the attraction strength α. For the patterns grown in both two and three dimensions, the fractal dimension shows a significant dependence on the attraction strength for small values of α and approaches that of the ordinary two-dimensional (2D) DLA in the limit of large α. For the nonattracting case with α = 1, our results in three dimensions reproduce the patterns of 3D ordinary DLA, while in two dimensions our model leads to the formation of a compact cluster with dimension 2. For intermediate α, the 3D clusters have a quasi-2D structure with a fractal dimension very close to that of the ordinary 2D DLA. This allows one to control the morphology of a growing cluster by tuning a single external parameter α.
authors.affiliation: Plasma and Condensed Matter Computational Laboratory, Azarbayjan University of Tarbiat Moallam, Tabriz, Iran. sebrahi1@gwdg.de
authors.forename: S H Ebrahimnazhad
authors.initials: SH
authors.lastname: Rahbari
authors.forename: A A
authors.initials: AA
authors.lastname: Saberi
mesh_terms: D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D008958:Models, Molecular; D044367:Phase Transition; D012212:Rheology / Q000379:methods*
chemical_list: D003102:Colloids