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

Michael W. Deem·Jeong-Man Park
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Abstract

We derive the long-time behavior of the ${A} + {B} \to \emptyset$ 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.

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Michael W. Deem, Jeong-Man Park. 1998-02-12. The Effect of Static Disorder and Reactant Segregation on the $A + B \to \emptyset$ Reaction. https://doi.org/10.1103/physreve.57.2681

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