Cluster approximation solution of a two species annihilation model

Details Cluster approximation solution of a two species annihilation model Cluster approximation solution of a two species annihilation model

2003-01-04

arxiv.org/abs/cond-mat/0301038v1

PHYSICAL REVIEW E 66, 066136 (2002)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 7 figures

Scientific paper

10.1103/PhysRevE.66.066136

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. 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.

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