KINETICS OF CHEMICAL-REACTIONS IN CONDENSED MEDIA IN THE FRAMEWORK OF THE 2-DIMENSIONAL STOCHASTIC-MODEL

A chemical reaction proceeding in a continuum medium is modeled as a pair of stochastic equations with a δ-correlated random force. A numerical method for calculating the rate constant is elaborated in a quasi-one-dimensional approximation. Exact rate constants are found over a wide range of characteristic system parameters. The existence of a significant region with a nonequilibrium kinetic behavior, as predicted previously by Berezhkovskii and Zitserman, is confirmed. Moreover, the nonequilibrium rate constant is shown to describe not only the extreme of quasi-one-dimensional dynamics but also the case when the complete two-dimensional equation of motion operates. © 1990 American Chemical Society.