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Fluctuation Effects in Steric Reaction-Diffusion Systems



Z Konkoli, H Johannesson, B P. Lee


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 dc = 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.
Physical Review Letters


field theory, reaction-diffusion, steric reactivity


Konkoli, Z. , Johannesson, H. and Lee, B. (1999), Fluctuation Effects in Steric Reaction-Diffusion Systems, Physical Review Letters, [online], (Accessed June 20, 2024)


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Created December 31, 1998, Updated October 12, 2021