D lattice dynamics of the diffusion limited reaction A + A → A + S : Transient behavior
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چکیده
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.
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تاریخ انتشار 2008