NEAREST-NEIGHBOR DISTANCE DISTRIBUTIONS AND SELF-ORDERING IN DIFFUSION-CONTROLLED REACTIONS .2. A + B SIMULATIONS

Monte Carlo simulations of transient, diffusion-controlled A+B0 reactions are performed on one-, two-, and three-dimensional Euclidean lattices and on a fractal lattice (two-dimensional critical percolation cluster). The particle distributions are analyzed by partial nearest-neighbor distance distributions (NNDD), taxicab NNDD, and linearized NNDD. Comparisons are made with NNDD and interparticle distributions of the A+A and A+AA reactions (extending some of the simulations of the preceding paper [Phys. Rev. A 41, 2113 (1990)]), revealing some empirical connections. The aggregation of like particles and the segregation of unlike particles are monitored in time, for the various diffusion topologies. The relations between the partial NNDD, the microscopic and mesoscopic ordering, and the global rate laws are discussed. © 1990 The American Physical Society.