Morphological diagram of diffusion driven aggregate growth in plane: competition of anisotropy and adhesion
Abstract
Two-dimensional structures grown with Witten and Sander algorithm are investigated. We analyze clusters grown off-lattice and clusters grown with antenna method with and 8 allowed growth directions. With the help of variable probe particles technique we measure fractal dimension of such clusters as a function of their size . We propose that in the thermodynamic limit of infinite cluster size the aggregates grown with high degree of anisotropy () tend to have fractal dimension equal to 3/2, while off-lattice aggregates and aggregates with lower anisotropy () have . Noise-reduction procedure results in the change of universality class for DLA. For high enough noise-reduction value clusters with have fractal dimension going to when .
Keywords
Cite
@article{arxiv.1008.3449,
title = {Morphological diagram of diffusion driven aggregate growth in plane: competition of anisotropy and adhesion},
author = {Anton Yu. Menshutin and Lev. N. Shchur},
journal= {arXiv preprint arXiv:1008.3449},
year = {2015}
}
Comments
6 pages, 8 figures, conference CCP2010