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1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior

E. Abad·H. L. Frisch·G. Nicolis
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Abstract

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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E. Abad, H. L. Frisch, G. Nicolis. 2000-02-28. 1D lattice dynamics of the diffusion limited reaction A+A->A+S: Transient behavior. https://arxiv.org/abs/cond-mat/0002432

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