Microscopic theory of the atom work function from the binary mixture of simple liquids. 1. General results

TL;DR

This paper derives analytical expressions for atom work functions in binary liquid-gas mixtures using microscopic distribution functions, linking them to the system's equation of state and stability criteria.

Contribution

It introduces a novel microscopic approach to calculate atom work functions in binary mixtures and relates these to stability and atomization conditions.

Findings

Derived analytical expressions for atom work functions in mixtures.

Established relation between work functions and the equation of state.

Formulated stability criteria based on atom work functions.

Abstract

Analyzing the equations for the unary distribution functions of the Bogolubov-Born-Green-Kirkwood-Yvon chain of equations for the equilibrium two-phase system consisting of binary mixture of simple liquids and gas mixture with plane interface, we derived the analytical expression for the mono-atomic potentials in liquid and gas phases. Using the asymptotic values of mono-atomic potentials in liquid and in gas far away from interface, for each component of the mixture was obtained expression for the atom work function from liquid into gas. The interrelation between the general equation of state for liquid mixture and the atom work functions from mixture into vacuum was established. The stability criterion for each component of the mixture in limiting points of the first type (using I.Z. Fishers classification) was formulated in terms of the atom work function from liquid mixture into vacuum. As it turned out, the stability criteria correspond to atomization conditions of the mixture components.