On a Competitive Model of Laplacian Growth
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We introduce a competitive model of Laplacian growth in both stochastic and deterministic versions. This defines two different aggregation laws with probabilities λ and 1−λ. The parameter λ varying from 0 to 1 is used to weight a ratio between the inner and outer harmonic measures that leads to a competition between the Eden-like process and the DLA solved with site-sticking conditions. We perform numerical and qualitative analysis of the competitive growth.
KeywordsFree-boundary problems Laplacian growth Diffusion limited aggregation Eden process Fractal growth
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