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Diffusion-Limited Annihilation with Initially Separated Reactants

P. L. Krapivsky
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Abstract

A diffusion-limited annihilation process, A+B->0, with species initially separated in space is investigated. A heuristic argument suggests the form of the reaction rate in dimensions less or equal to the upper critical dimension $d_c=2$. Using this reaction rate we find that the width of the reaction front grows as $t^{1/4}$ in one dimension and as $t^{1/6}(\ln t)^{1/3}$ in two dimensions.

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P. L. Krapivsky. 1995-01-06. Diffusion-Limited Annihilation with Initially Separated Reactants. https://doi.org/10.1103/physreve.51.4774

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