Fractals from a reaction diffusion process

R Graber

Physica A: Statistical Mechanics and its Applications, 1999, vol. 271, issue 3, 223-230

Abstract: We introduce a reaction diffusion model on a lattice involving two particles species, A and B. B particles initially fill the lattice, and A particles diffuse transforming B particles to A particles each time they meet. We keep the number of A particles constant eliminating the oldest ones. The process builds empty clusters whose short time features are fractal (in the universality class of invasion percolation) and whose long-time features are those of compact objects.

Keywords: Reaction–diffusion; Interface; Cluster; Fractal (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:271:y:1999:i:3:p:223-230

DOI: 10.1016/S0378-4371(99)00267-8

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