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

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

1997-07-24

arxiv.org/abs/cond-mat/9707254v2

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.57.2681

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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