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A New Class of Cellular Automata for Reaction-Diffusion Systems

Jörg R. Weimar·Jean-Pierre Boon
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Abstract

We introduce a new class of cellular automata 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 new CA is demonstrated using the Ginzburg-Landau equation.

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BibTeXRIS

Jörg R. Weimar, Jean-Pierre Boon. 1993-05-30. A New Class of Cellular Automata for Reaction-Diffusion Systems. https://doi.org/10.1103/physreve.49.1749

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