MULTIPARTICLE LATTICE-GAS AUTOMATA FOR REACTION-DIFFUSION SYSTEMS

Lattice gas automata are a powerful tool to model reaction-diffusion p rocesses. However, the evolution rules limit the number of particles t hat can be present at each lattice site. This restriction is often a s trong limitation to modelling several reaction-diffusion phenomena and , also, lead to very noisy numerical simulations. We propose and study new algorithms which allow for an arbitrary number of particle, while keeping the benefits of the cellular automata approach (close to a mi croscopic level of description, deal correctly with all degrees of fre edom, and is numerically exact).