Segregation of two seed growth patterns with fractal geometry
Pattern Formation and Solitons
2007-05-23 v1
Abstract
We study the generalized diffusion-limited aggregates (DLA), with two seeds placed at distance d lattice units and investigate the probability p(d) that the patterns generated from those seeds get connected. In this model, one can vary the parameter , and get a range of patterns from fractal-DLA to compact one. For a fractal-DLA, p(d) decays rapidly with d, the decay is slower for compact pattern in which case p(d)>>1 for all practical distances. We demonstrate a similar phenomenon experimentally in viscous fingering and electrochemical deposition with two injection points/cathodes.
Keywords
Cite
@article{arxiv.nlin/0610005,
title = {Segregation of two seed growth patterns with fractal geometry},
author = {Deepak N. Bankar and P. M. Gade and A. V. Limaye and A. G. Banpurkar},
journal= {arXiv preprint arXiv:nlin/0610005},
year = {2007}
}