2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16088We 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.10 pages. Accepted for publication in the June 2000 issue of the JSP (Volume 99, Issue 5/6)Statistical Mechanicstext