P. Argyrakis et R. Kopelman, NONCLASSICAL A-]0 BATCH REACTIONS - EFFECT OF MOBILITY ON RATE, ORDER, AGGREGATION AND SEGREGATION(B), Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 3757-3760
Monte Carlo simulations are performed for the elementary batch reactio
n A + B --> 0 on a one-dimensional lattice. The initial densities of t
he A and B species are always identical but the relative mobility is v
aried. We investigate the rates, rate laws, and particle distribution
functions. The rate power law is conserved, i.e., the density always d
ecays in time algebraically with exponent 1/4. The rate coefficient is
proportional to the relative mobility, as expected. The interparticle
distribution functions (''gaps'' and nearest-neighbor distances) show
that the aggregation does depend on the relative mobility but the seg
regation does not. However, this subtle difference has no effect on th
e asymptotic reaction order, which is close to 5.