Abstract
Non-Markovian theories based on two commonly used many-particle approaches to the derivation of kinetic equations of elementary bimolecular reactions in diluted liquid solutions are analyzed. The first approach conforms to superposition decoupling of the BBGKI hierarchy, and the second one conforms to the expansion in terms of the reactants density parameters of the mass operator in the memory function formalism. Within the scope of these theories, the discrepancy between the time bounds of the Markovian description of the kinetics (obeying the law of mass action) is established with irreversible diffusion-controlled reactions A + B → B as an example
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