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

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.

References in corpus (15)

• Shifted forces in molecular dynamics
• Nonperturbative effect of attractive forces in viscous liquids
• A repulsive reference potential reproducing the dynamics of a liquid with attractions
• What constitutes a simple liquid?
• The role of attractive forces in viscous liquids
• Nonequilibrium Ornstein-Zernike relation for Brownian many-body dynamics
• Role of the first coordination shell in determining the equilibrium structure and dynamics of simple liquids
• Kinetic theory for dilute cohesive granular gases with a square well potential
• Enskog-Landau kinetic equation. Calculation of the transport coefficients for charged hard spheres
• Consistent description of kinetics and hydrodynamics of weakly nonequilibrium processes in simple liquids
• The modified group expansions for construction of solutions to the BBGKY hierarchy
• Kinetic equation for liquids with a multistep potential of interaction. II: Calculation of transport coefficients
• Chain of kinetic equations for the distribution functions of particles in simple liquid taking into account nonlinear hydrodynamic fluctuations
• BBGKY chain of kinetic equations, non-equilibrium statistical operator method and collective variable method in the statistical theory of non-equilibrium liquids
• On the problem of a consistent description of kinetic and hydrodynamic processes in dense gases and liquids: Collective excitations spectrum

Cited by in corpus (2)

• Kinetic description of ion transport in the system "ionic solution -- porous environment"
• A consistent description of the kinetic processes of electrolyte ion transport in a dynamic porous medium