SPATIAL CORRELATIONS AND CROSS-SECTIONS OF CLUSTERS IN THE A-]O REACTION(B)

We consider the distribution of cross sections of clusters and the den sity-density correlation functions for the A + B --> 0 reaction. We so lve the reaction-diffusion equations numerically for random initial di stributions of reactants. When both reactant species have the same dif fusion coefficients the distribution of cross sections and the correla tion functions scale with the diffusion length and obey superuniversal laws (independent of dimension). For different diffusion coefficients the correlation functions still scale, but the scaling functions depe nd on the dimension and on the diffusion coefficients. Furthermore, we display explicitly the peculiarities of the cluster-size distribution in one dimension.