Creation of the set of kinetic equations for a nonideal gas near critical temperatures

Abstract

In this article, the derivation of the Boltzmann equation from BBKIY of the chain is generalized for the case when the intermolecular interaction potential has both repulsive and attractive components. In this case, the application of the Bogolyubov method leads to situation when the term taking into account the transfer of molecules from the region where the hypothesis of the molecular chaos occurs into the region where molecules are arranged in a bound state is added to the usual collision integral. A two-particle distribution function of molecules in the bound state is assumed to be quasi-equilibrium with parameters depending on the variables that characterize the Boltzmann gas. Kinetic equations are written for these parameters performing the corresponding averaging over the region of bound states. Thus, this resulted in a closed set of kinetic equations describing nonideal gas. After introducing the corresponding macroparameters, all conservation laws and their consequences invariant relative to the Galileo transform follow from the corresponding set. The equation of state derived for such gas resembles the van der Waals equation by form. When considering the relaxation problem, the H-theorem is proven.