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)t-1, which asymptotically (as t→) does not depend on the trap B concentration.