A New Class of Cellular Automata for Reaction-Diffusion Systems

Details A New Class of Cellular Automata for Reaction-Diffusion Systems A New Class of Cellular Automata for Reaction-Diffusion Systems

1993-05-30

arxiv.org/abs/comp-gas/9305005v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

4 pages, RevTeX 3.0 , 3 Figures 214972 bytes tar, compressed, uuencoded

Scientific paper

10.1103/PhysRevE.49.1749

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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