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Exact Solutions of Low-Dimensional Reaction-Diffusion Systems

Antonio M. R. Cadilhe, M. Lawrence Glasser, Vladimir Privman

cond-matarXiv:cond-mat/9606224

Abstract

We briefly review some common diffusion-limited reactions with emphasis on results for two-species reactions with anisotropic hopping. Our review also covers single-species reactions. The scope is that of providing reference and general discussion rather than details of methods and results. Recent exact results for a two-species model with anisotropic hopping and with `sticky' interaction of like particles, obtained by a novel method which allows exact solution of certain single-species and two-species reactions, are discussed.

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