To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

TL;DR

This paper develops a kinetic theory framework for dense gases and liquids, calculating quasi-equilibrium particle distributions by incorporating multiparticle correlations and using the method of collective variables.

Contribution

It introduces a modified BBGKI equation with boundary conditions accounting for multiparticle correlations and applies the collective variables method to compute distribution functions.

Findings

Derived kinetic equations with pair collisions and polarization approximation.

Incorporated short-range and long-range interaction effects.

Connected the theory with Enskog's revised approach for solid sphere potentials.

Abstract

Based on a chain of BBGKI equations with a modified boundary condition that takes into account multiparticle correlations, kinetic equations in the approximate "pairs" collisions and in the polarization approximation, taking into account the interaction through the third particle, obtained. The specifics of the model representation of the pair potential of particle interaction through short-range and long-range parts were taken into account. In the case of the short-range potential in the form of the potential of solid spheres, the contribution of Enskog's revised theory to the complete integration of the collision of the kinetic equation is obtained. The collision integrals include paired quasi-equilibrium distribution functions that depend on the nonequilibrium mean values of the particle number density and the inverse temperature. The method of collective variables Yukhnovskii is applied for the calculation of pair quasi-equilibrium distribution function with an allocation of short-range and long-range parts in the potential of the interaction of particles. In this case, the system with short-range interaction is considered as a frame of reference.