NONCLASSICAL CROSSOVERS IN BINARY REACTIONS IN ONE-DIMENSIONAL SYSTEMS

We examine the crossover behavior for the A + A --> 0 and A + B --> 0 reactions, which are highly nonclassical for a random initial distribu tion of reactants. We find that both reactions quickly depart from the classical behavior to a ''depletion zone regime'', eventually reachin g the segregated asymptotic behavior. We give the corresponding scalin g laws for the crossover time and density. Finite size effects are als o discussed. Computer simulations verify the scaling laws and provide the scaling coefficients.