A many-particle approach to the derivation of binary non-Markovian kinetic equations for the reaction A+B→B

Many-particle methods of physical kinetics have been adapted to a many-particle consideration of irreversible reactions A+B→B in liquid solutions. The correctness of the diagrammatic approach developed is demonstrated using the exactly solvable problem. Appropriate scaling procedure has been devised for the extraction of a binary kinetics. On its basis, the conception of pair uncorrelated encounters of reactants in liquid solutions has been generalized, and the concept of the effective pair has been introduced. Binary non-Markovian kinetic equations of the reaction for uniform initial distribution of B species obtained earlier are reproduced. For the first time, integro-differential kinetic equations of the reaction in spatially non-uniform normal systems have been derived.