2006/10/04 by Deepak N. Bankar, D. Bankar, Prashant M. Gade +8
Engineering · Mathematics · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #nlin.PS
paper · pdf · doi:10.48550/arxiv.nlin/0610005
arxiv created 2006/10/04 · openalex publication_date 2006/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.