The Effect of Static Disorder and Reactant Segregation on the $A+B\to \varnothing$ Reaction

Abstract

We derive the long-time behavior of the $A+B\to \varnothing$ reaction in two dimensions, finding a universal exponent and prefactor in the absence of disorder. Sufficiently singular disorder leads to a (sub)diffusion-limited reaction and a continuously variable decay exponent. Pattern matching between the reactant segregation and the disorder is not strong enough to affect the long-time decay.

REVTEX, 5 pages (with 3 figures). More contents and discussion added. To appear in Phys. Rev. E (March, 1998)

References in corpus (2)

• Disorder-Induced Anomalous Kinetics in the $A+A\to \varnothing$ Reaction
• Comment on Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction

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