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Название: One-Dimensional Lattice Dynamics of the Diffusion-Limited Reaction A+A->A+S: Transient Behavior
Авторы: Abad E., Frisch H.L., Nicolis G.
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.