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Phys. Rev. E 59, R3787–R3790 (1999)

Fluctuation effects in steric reaction-diffusion systems

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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

Received 24 June 1998; published in the issue dated April 1999

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)∼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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.59.R3787
DOI:
10.1103/PhysRevE.59.R3787
PACS:
82.20.Fd, 05.40.-a

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

 
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