A Method of Intervals for the Study of Diffusion-Limited Annihilation, A + A --> 0

Abstract

We introduce a method of intervals for the analysis of diffusion-limited annihilation, A+A -> 0, on the line. The method leads to manageable diffusion equations whose interpretation is intuitively clear. As an example, we treat the following cases: (a) annihilation in the infinite line and in infinite (discrete) chains; (b) annihilation with input of single particles, adjacent particle pairs, and particle pairs separated by a given distance; (c) annihilation, A+A -> 0, along with the birth reaction A -> 3A, on finite rings, with and without diffusion.

RevTeX, 13 pages, 4 figures, 1 table. References Added, and some other minor changes, to conform with final form

References in corpus (1)

• Diffusion-Limited Reaction in One Dimension: Paired and Unpaired Nucleation

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