par Dab, David ;Lawniczak, Anna;Boon, Jean-Pierre ;Kapral, Raymond
Référence Physical review letters, 64, 20, page (2462-2465)
Publication Publié, 1990
Article révisé par les pairs
Résumé : A method for constructing a variety of probabilistic lattice-gas cellular automata for chemically reacting systems is described. The microscopic reactive dynamics give rise to a general fourth-order polynomial rate law for the average particle density. The reduction of the microdynamical equations to a discrete or continuous Boltzmann equation is presented. Connection between the linearized Boltzmann equations and a reaction-diffusion macroscopic equation is discussed. As an example of the general formalism a set of cellular automata rules that yield the Schlögl phenomenological model is constructed. Simulation results are presented. © 1990 The American Physical Society.