Fluctuation Effects in Steric Reaction-Diffusion Systems

Details Fluctuation Effects in Steric Reaction-Diffusion Systems Fluctuation Effects in Steric Reaction-Diffusion Systems

1999-01-15

arxiv.org/abs/cond-mat/9901147v1

Phys. Rev. E 59(4), R3787 (1999)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures, Accepted for publication in Phys. Rev. E (Rapid Communication)

Scientific paper

10.1103/PhysRevE.59.R3787

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.

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