to appear in PHYSICS REPORTS) Reactive lattice gas automata provide a microscopic approach to the dynamics of spatially-distributed reacting systems. An important virtue of this approach is that it o ers a method for the investigation of reactive systems at a mesoscopic level that goes beyond phenomenological reaction-di usion equations. After introducing the subject within the wider framework of lattice gas automata (LGA) as a microscopic approach to the phenomenology of macroscopic systems, we describe the reactive LGA in terms of a simple physical picture to show how an automaton can be constructed to capture the essentials of a reactive molecular dynamics scheme. The statistical mechanical theory of the automaton is then developed for di usive transport and for reactive processes, and a general algorithm is presented for reactive LGA. The method is illustrated by considering applications to bistable and excitable media, oscillatory behavior in reactive systems, chemical chaos and pattern formation triggered by Turing bifurcations. The reactive lattice gas scheme is contrasted with related cellular automaton methods and the paper concludes with a discussion of future perspectives.
A method for constructing a varicty of probabiiistic latticc-g as ceilular automata for chemicaily reacting Systems is described. The microscopic reactive dynamics g ives rise to a gênerai fourth-order polynomial rate law for the average particie density. The réduction of the microdynamicai équations to a discrète or continuous Boitzmann équation is presented. Connection between the iinearizcd Boitzmann équations and a réaction-diffusion macroscopic équation is discussed. As an exampie of the gênerai formalism a set of ceilular automata rules that yieid the Schiôgl phcnomenoiogicai model is constructed. Simulation results are presented.
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