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Segregation of fractal aggregates grown from two seeds
Deepak N Bankar1, P M Gade, A V Limaye
1Center for Advanced Studies in Materials Science and Condensed Matter Physics, Department of Physics, University of Pune, Pune, India.
Abstract:
We study the generalized diffusion-limited aggregates, grown from two proximal nucleation seeds placed at distance d lattice units and investigate the probability p(d) that these aggregates get connected. We vary the sticking probability to get a range of aggregate geometry from fractal to compact one. For fractal aggregates, p(d) decays rapidly with d , while for compact ones, the decay is so slow that p(d) approximately 1 for all practical distances. We experimentally demonstrate similar behavior for viscous fingering patterns with two injection points and electrochemical deposits grown on two cathodes. Our observations along with previous results on competitive growth suggest a common underlying principle.
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