English

Morphological diagram of diffusion driven aggregate growth in plane: competition of anisotropy and adhesion

Statistical Mechanics 2015-05-19 v1

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 Nfp=3,4,5,6,7N_{fp}=3,4,5,6,7 and 8 allowed growth directions. With the help of variable probe particles technique we measure fractal dimension of such clusters D(N)D(N) as a function of their size NN. We propose that in the thermodynamic limit of infinite cluster size the aggregates grown with high degree of anisotropy (Nfp=3,4,5N_{fp}=3,4,5) tend to have fractal dimension DD equal to 3/2, while off-lattice aggregates and aggregates with lower anisotropy (Nfp>6N_{fp}>6) have D1.710D \approx 1.710. Noise-reduction procedure results in the change of universality class for DLA. For high enough noise-reduction value clusters with Nfp6N_{fp} \ge 6 have fractal dimension going to 3/23/2 when NN\rightarrow\infty.

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