Class of cellular automata for reaction-diffusion systems
Jörg R. Weimar, Jean‐Pierre Boon · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1994
We introduce a class of cellular automata (CA) to model reaction-diffusion systems in a quantitatively correct way. The construction of the CA from the reaction-diffusion equation relies on a moving-average procedure to implement diffusion and a probabilistic table lookup for the reactive part. The applicability of the present CA is demonstrated using the Ginzburg-Landau equation.