2000/02/28 by E. Abad, H. L. Frisch, G. Nicolis
Physics and Astronomy · #cond-mat.stat-mech
published as J. Stat. Phys. 99, 1397 (2000) · 10 pages. Accepted for publication in the June 2000 issue of the JSP (Volume 99, Issue 5/6)
arxiv created 2000/02/28 · arxiv updated 2009/11/30
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.