NonclassicalA+B→0 batch reactions: Effect of mobility on rate, order, aggregation and segregation

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Abstract
Monte Carlo simulations are performed for the elementary batch reaction A+B→0 on a one-dimensional lattice. The initial densities of the A and B species are always identical but the relative mobility is varied. We investigate the rates, rate laws, and particle distribution functions. The rate power law is conserved, i.e., the density always decays 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 segregation does not. However, this subtle difference has no effect on the asymptotic reaction order, which is close to 5.