Cluster approximation solution of a two-species annihilation model.
A two-species reaction-diffusion model, in which particles diffuse on a one-dimensional lattice and annihilate when meeting each other, has been investigated. Mean-field equations for general choice of reaction rates have been solved exactly. The cluster mean-field approximation of the model is also studied. It is shown that the general form of large time behavior of one- and two-point functions of the number operators are determined by the diffusion rates of the two type of species, and is independent of annihilation rates.
Tabatabaee
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F
Department of Physics, Alzahra University, Tehran 19834, Iran. ftabatabaee@hotmail.com
Aghamohammadi
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