Disorder-Induced Anomalous Kinetics in the $A+A\to \varnothing$ Reaction

Abstract

We address the two-dimensional bimolecular annihilation reaction $A+A\to \varnothing$ in the presence of random impurities. Impurities with sufficiently long-ranged interaction energies are known to lead to anomalous diffusion, $<r^2(t)>\sim t^{1-\delta }$, in the absence of reaction. Applying renormalization group theory to a field theoretic description of this reaction, we find that this disorder also leads to anomalous kinetics in the long time limit: $c(t)\sim t^{\delta -1}$. This kinetics results because the disorder forces the system into the (sub)diffusion controlled regime, in which the kinetics must become anomalous.

REVTEX, 4 pages. More discussion added. To appear in Phys. Rev. E (March, 1998)

References in corpus (1)

• Comment on Renormalization Group Study of the A+B->0 Diffusion-Limited Reaction

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