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.
field theory, reaction-diffusion, steric reactivity
, Johannesson, H.
and Lee, B.
Fluctuation Effects in Steric Reaction-Diffusion Systems, Physical Review Letters, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=851491
(Accessed December 4, 2023)