par Abad, Enrique;Frisch, H. L.;Nicolis, Grégoire
Référence Journal of statistical physics, 99, 5-6, page (1397-1407)
Publication Publié, 2000-06
Article révisé par les pairs
Résumé : We use a Boolean cellular automaton model to describe the diffusion-limited dynamics of the irreversible reaction A + A → A + S on a 1D lattice. We derive a set of equations for the dynamics of the empty interval probabilities from which explicit expressions for the particle concentration and the two-point correlation can be obtained. It is shown that the long-time dynamics is in agreement with the off-lattice solution. The early-time behavior, however, predicts a slower decay of the concentration.