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Segregation of two seed growth patterns with fractal geometry

Deepak N. Bankar·P. M. Gade·A. V. Limaye·A. G. Banpurkar
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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 $α$, 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.

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Deepak N. Bankar, P. M. Gade, A. V. Limaye, A. G. Banpurkar. 2006-10-04. Segregation of two seed growth patterns with fractal geometry. https://arxiv.org/abs/nlin/0610005

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