Oscillations and waves in a reactive lattice-gas automaton

Abstract

A lattice-gas automaton model is constructed for multispecies, chemically reacting, spatially distributed systems and applied to a two-species reaction. The automaton simulations show monotone and oscillatory decay to the steady state as well as excitability and limit cycles. Chemical waves, such as rings and spiral waves, and Turing patterns that arise from the bifurcation of the homogeneous state are found. The model allows the exploration of nonequilibrium spatial sructures at the mesoscopic level and goes beyond the usual reaction-diffusion equation descriptions.