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Fluctuation effects in steric reaction-diffusion systems

Zoran Konkoli, Henrik Johannesson, and Benjamin P. Lee
Phys. Rev. E 59, R3787(R) – Published 1 April 1999
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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 dc=2. To the two-loop level, long-time particle density N(t) is given by the same universal expression as for a nonsteric system, with N(t)td/2 for d<~2. For slow rotations of the particles we find an intermediate regime where N(t)td/4, with the crossover to the nonsteric asymptotics determined by the rates of rotations and reactions. Consequences for experiments are discussed.

  • Received 24 June 1998

DOI:https://doi.org/10.1103/PhysRevE.59.R3787

©1999 American Physical Society

Authors & Affiliations

Zoran Konkoli and Henrik Johannesson

  • Institute of Theoretical Physics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden

Benjamin P. Lee*

  • Polymers Division, National Institute of Science and Technology, Gaithersburg, Maryland 20899

  • *Present address: Department of Physics, Bucknell University, Lewisburg, PA 17837.

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Vol. 59, Iss. 4 — April 1999

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