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Phys. Rev. E 66, 066136 (2002) [5 pages]

Cluster approximation solution of a two-species annihilation model

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F. Tabatabaee1 * and A. Aghamohammadi1,2 †
1Department of Physics, Alzahra University, Tehran 19834, Iran
2Institute for Applied Physics, Tehran 15857-5878 Iran

Received 10 August 2002; published 30 December 2002

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.


©2002 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.66.066136
DOI: 10.1103/PhysRevE.66.066136
PACS: 02.50.Ey, 05.10.Gg

* Email address: ftabatabaee@hotmail.com
† Email address: mohamadi@alzahra.ac.ir

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