Iterative conformal mapping approach to diffusion-limited aggregation with surface tension effect
Pattern Formation and Solitons
2013-03-05 v1 Soft Condensed Matter
Statistical Mechanics
Abstract
We present a simple method for incorporating the surface tension effect into an iterative conformal mapping model of two-dimensional diffusion-limited aggregation. A curvature-dependent growth probability is introduced and the curvature is given by utilizing the branch points of a conformal map. The resulting cluster exhibits a crossover from compact to fractal growth. In the fractal growth regime, it is confirmed, by the conformal map technique, that the fractal dimension of its area and perimeter length coincide.
Cite
@article{arxiv.1303.0608,
title = {Iterative conformal mapping approach to diffusion-limited aggregation with surface tension effect},
author = {Hiroshi Miki and Haruo Honjo},
journal= {arXiv preprint arXiv:1303.0608},
year = {2013}
}
Comments
18 pages, 10 figures