A many-particle derivation of the Integral Encounter Theory non-Markovian kinetic equations of the reversible reaction A+B C in solutions

The non-Markovian binary kinetic equations for a rather realistic model of association–dissociation reaction A+B C in liquid solutions are derived using a newly developed method based on a many-particle consideration. The method leads to an infinite hierarchy for correlation patterns that can be truncated at the first step on a two-particle level to give the Integral Encounter Theory result. It is shown that although being restricted in time, the theory predicts true equilibrium concentrations of reactants and the equilibrium constant corresponding to the thermodynamic detailed balancing principle.