Kinetic equations for chemically reacting quantum gases. I

Derivation of kinetic equations for chemically reacting gases is proposed. To this end the analogue of the Bogoliubov hierarchy of equations for the reduced density matrices of individual chemical components of the mixture is obtained. In the case under consideration, the right-hand side of the equations in the hierarchy has the form of a series with respect to density, which is connected with the non-addivity of the interaction potential as well as with dependence of the definition of the bound state of the group of particles upon the interaction between this group and other particles in the system. Conditions of the weakening of correlations for particles in bound state are formulated and the kinetic equations in the lowest approximation, taking into account exchange reactions as well as reactions of the dissociation and recombination type, are derived by means of the Bogoliubov method. This approximation takes into account only the simultaneous interactions of several particles and does not take into account the contributions from successive correlated pair collisions.