Diffusion-Limited Annihilation with Initially Separated Reactants

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.

9 pages, Plain TeX

References in corpus (2)

• Scaling of Reaction Zones in the A+B->0 Diffusion-Limited Reaction
• Diffusion-Limited Aggregation Processes with 3-Particle Elementary Reactions

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• Diffusion-controlled formation and collapse of a d-dimensional A-particle island in the B-particle sea
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