The Effect of Static Disorder and Reactant Segregation on the $A + B \to \emptyset$ Reaction
Statistical Mechanics
2009-10-30 v2
Abstract
We derive the long-time behavior of the 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.
Keywords
Cite
@article{arxiv.cond-mat/9707254,
title = {The Effect of Static Disorder and Reactant Segregation on the $A + B \to \emptyset$ Reaction},
author = {Michael W. Deem and Jeong-Man Park},
journal= {arXiv preprint arXiv:cond-mat/9707254},
year = {2009}
}
Comments
REVTEX, 5 pages (with 3 figures). More contents and discussion added. To appear in Phys. Rev. E (March, 1998)