Reaction order versus reaction probability for bimolecular steady state reactions: A+A → A and A+A → 0 in one dimension

Abstract

Reactions of A+A → product on one-dimensional lattices with steady state input sources are simulated with various local reaction probabilities, P. Among others the reaction order, X, is examined at different P. Our results demonstrate that X goes down from 3 to 2 as P goes from 1 to 0. The nearest neighbor distance distribution (NNDD) for the reaction A+A → 0 at P=1.0, i.e. diffusion-limited reaction, follows the previously reported skewed exponential shape. This is no longer true for P < 1. Similarly, for the reaction A+A → A, the NNDD changes with P. Finally, at P→0, as expected, an exponential (Poissonian) distribution is obtained for both reactions.