A new approach to the derivation of binary non-Markovian kinetic equations

A universal method of derivation of infinite hierarchies for partial distribution functions and correlation forms in the thermodynamic limit has been developed. It is based on the consideration of reacting systems in the Fock space. Hierarchy closure methods available in the literature are shown to give incorrect binary kinetic equations of the reaction A+B→B in some critical cases. A new approach to hierarchy closure has been proposed. It consists in neglecting contributions from four-particle correlations and in adapting the Faddeev method of the three-body theory to the extraction of a binary part of three-particle evolution. For the model of the reaction A+B→B the proposed method gives correct kinetic equations obtained earlier on the basis of diagram summation. It gives the theoretical basis for derivation of binary kinetic equations for realistic reacting systems