G. Oshanin et al., FLUCTUATION-DOMINATED A-]0 KINETICS UNDER SHORT-RANGED INTERPARTICLE INTERACTIONS(B), The Journal of chemical physics, 105(15), 1996, pp. 6304-6314
In the present paper we analyze the kinetics of irreversible A+B->0 re
actions in situations appropriate to electrolyte solutions. We conside
r diffusing species which experience short-range repulsive (attractive
) interactions between like (unlike) particles and we highlight the ro
le of fluctuations in the particles' spatial distributions. We focus m
ainly on one-dimensional systems and devise a many-particle descriptio
n of the reaction kinetics. In terms of our analytical approach we sho
w that at intermediate times the interplay between fluctuations and sh
ort-ranged interactions gives rise to unusual behaviors, characterized
by novel dynamical exponents of the particles' mean concentrations, F
or batch reactions at longer times, when the concentrations drop off s
ignificantly, the usual fluctuation-induced behavior is recovered. We
also analyze systems with external, steady sources of particles and we
show that in such situations the effects of the interactions become d
ecisive at long times. Our analytical findings are in good agreement w
ith the results of numerical simulations, which we also present. (C) 1
996 American Institute of Physics.