Construction of equations for classical equilibrium correlation Green's functions on the basis of kinetic equations. II

Equations for classical equilibrium correlation Green's functions are constructed in the framework of the general theory developed earlier [1] on the basis of different kinetic equations for multicomponent systems. The following systems of kinetic equations are used: Vlasov, Vlasov–Landau, Boltzmann, Boltzmann–Enskog, and a modified system of Enskog equations (Markov), and the Vlasov–Landau equations and their combinations (non-Markov). In the framework of the microscopic approach. Of [1] equations are obtained for the equilibrium correlation Green's functions in the mean-field approximation. For a two-component system, the equilibrium correlation Green's functions are found explicitly in the mean-field approximation. A mixture of charged particles and a mixture of hard spheres are considered as illustrations.