Fluctuation Effects in Steric Reaction-Diffusion Systems
Statistical Mechanics
2009-10-31 v1
Abstract
We propose a simple model for reaction-diffusion systems with orientational constraints on the reactivity of particles, and map it onto a field theory with upper critical dimension d_c=2. To two-loop level the long-time particle density N(t) is given by the same universal expression as for a nonsteric system, with N(t)~t^{-d/2} for d<=2. For slow rotations of the particles we find an intermediate regime where N(t)~t^{-d/4}, with the crossover to the nonsteric asymptotics determined by the rates of rotations and reactions. Consequences for experiments are discussed.
Cite
@article{arxiv.cond-mat/9901147,
title = {Fluctuation Effects in Steric Reaction-Diffusion Systems},
author = {Zoran Konkoli and Henrik Johannesson and Benjamin P. Lee},
journal= {arXiv preprint arXiv:cond-mat/9901147},
year = {2009}
}
Comments
5 pages, 4 figures, Accepted for publication in Phys. Rev. E (Rapid Communication)