PAIR AND TRIPLE CORRELATIONS IN THE A+B-]B DIFFUSION-CONTROLLED REACTION

An exact solution for the one-dimensional kinetics of the diffusion-controlled reaction A + B --> B is obtained by means of the three-particle correlation functions. Because of a lattice discreteness each site could be occupied by a single particle only which leads to the so-called ''bus effect'': Recombination of any particle A is defined by a spatial configuration of two nearest particles B only surrounding A from its left and right. This results in the unusual algebraic decay law, n(t) is-proportional-to t-1, which asymptotically (as t --> infinity) does not depend on the trap B concentration.