Peculiarities of diffusion-controlled recombination kinetics at long time and/or for great initial reagent concentrations

The earlier developed generalized theory of bimolecular reactions between reagents (defects) in solids and liquids, based on a more complete than the standard one decoupling of the hierarchy of equations for many-point densities, is used for detailed calculations of the A+B→AB reaction kinetics at long time (great reaction depth). The effects of great initial concentrations and relative diffusion coefficients upon the reaction kinetics are also studied. The earlier predicted lowering of the reaction rate due to a dynamical aggregation of similar (non-interacting) reagents is confirmed. The greater the initial reagent concentration and if one kind of reagents (A's or B's) are immobile, the more pronounced is the aggregation effect.