MULTISTATE CELLULAR AUTOMATON FOR REACTION-DIFFUSION PROCESSES

A multistate cellular automaton model for computational simulation of reaction-diffusion processes at the microscopic level is presented. Diffusion is introduced through a standard stochastic scheme. On the other hand, the reaction dynamics, which applies to generic chemical reactions, consists of a deterministic algorithm driven by a discrete mapping. By means of a proper average on the states of the cellular automaton, the microscopic dynamics is fully identified with the corresponding macroscopic reaction-diffusion laws. As an illustration of the capability of the model for describing the behavior of reaction-diffusion systems, some results on pattern formation for various chemical systems are presented.