Segregation of two seed growth patterns with fractal geometry
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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