Three-dimensional Cellular Automata for Reaction-Diffusion Systems

• Autorzy: Weimar J.R.
• Języki publikacji: EN

Abstrakty

EN

Cellular automata for reaction-diffusion systems are efficient enough to make the simulation of large three-dimensional systems feasible. The principal construction mechanisms used here are not much different from those for two-dimensional cellular automata. Diffusion is realized through a local averaging, and all the nonlinear reaction terms are collected in a table-lookup. The special issue in three dimensions is the need to increase time- and space- scales as much as possible to achieve sufficient system sizes. This can be done through the use of numerical integration schemes for constructing the lookup table, and through the use of special diffusion operators. We present examples of complex three-dimensional behaviors in an excitable reaction-diffusion system and in a model of a pattern-forming chemical reaction.

Słowa kluczowe

EN

cellular automata; reaction-diffusion systems

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2002
• Tom: Vol. 52, nr 1-3
• Strony: 277--284
• Opis fizyczny: wykr., bibliogr.14 poz.

Twórcy

autor

Weimar J.R.

• Institute of Scientific Computing, Technical University Braunschweig, D38092 Braunschweig, Germany,