Abstract: We construct a class of probabilistic automata for the Ginzburg-Landau equation : 
, with x real and where f(x) is a polynomial whose maximum degree is set by the lattice symmetry. This class of Ginzburg-Landau equations is commonly used for the phenomenological description of dynamical phase transitions with a non-conserved order parameter, and in particular for reaction-diffusion systems. The lattice gas automaton method provides a microscopic approach to this class of systems, with the virtue that the automaton constitutes a minimal model (that is with highly simplified microdynamics) which preserve the full system dynamics…
