Fluctuation Effects in Steric Reaction-Diffusion Systems

Published

January 1, 1999

Author(s)

Z Konkoli, H Johannesson, B P. Lee

Abstract

We propose a simple model for reaction-diffusion systems with orientational constraints on the reactivity of particles (steric system). The corresponding master equation is mapped onto a field theory with upper critical dimension d_c = 2 which can be explicitly renormalized to all orders in perturbation theory. To one-loop level the long-time density of particles N(t) is given by the same universal expression as for a nonsteric system, with N(t) is approximately equal to} t ^-d/2 for d less than or equal to} 2. Our results reveal that for sufficiently slow internal rotations of the particles steric reactivity supports an intermediated regime where N(t) is approximately equal to} t^-d/4, with the crossover to the nonsteric asymptotics determined by the relation between the rates of rotations and reactions. Consequences for experiments are discussed.

Citation

Physical Review Letters

Volume

59

Pub Type

Journals

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Keywords

field theory, reaction-diffusion, steric reactivity

Citation

Konkoli, Z. , Johannesson, H. and Lee, B. (1999), Fluctuation Effects in Steric Reaction-Diffusion Systems, Physical Review Letters, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=851491 (Accessed July 26, 2024)