DIFFUSION-LIMITED BINARY REACTIONS - THE HIERARCHY OF NONCLASSICAL REGIMES FOR CORRELATED INITIAL CONDITIONS

We predict hierarchies of kinetic regimes and crossover conditions for elementary A + A --> 0 and A + B --> 0 batch reactions from a nonclas sical reaction-diffusion formalism that includes spatial fluctuations. This paper addresses the case of a spatially correlated initial distr ibution of reactants; random initial conditions have been discussed in another paper. The hierarchies of kinetic regimes are even richer tha n those found for random initial conditions, with the particular hiera rchy determined by the tightness of the initial correlations. In most cases there is one regime (which we call a ''burst'') where the decay of the densities in the A + B reaction is even faster than in the A A reaction. We confirm our predictions via detailed numerical simulati ons.