Related Experiment Video
Updated: Aug 11, 2026

An Inverse Analysis Approach to the Characterization of Chemical Transport in Paints
Published on: August 29, 2014
Criticality of a liquid-vapor interface from an inhomogeneous integral equation theory
Igor Omelyan1, Fumio Hirata, Andriy Kovalenko
1Institute for Condensed Matter Physics, 1 Svientsitskii Street, UA-79011 Lviv, Ukraine.
Abstract:
A microscopic theory is developed to study the liquid-vapor interfacial properties of simple fluids with ab initio treatment of the inhomogeneous two-body correlation functions, without any interpolation. It consists of the inhomogeneous Ornstein-Zernike equation coupled with the Duh-Henderson-Verlet closure and the Lovett-Mou-Buff-Wertheim equation. For the liquid-vapor interface of the Lennard-Jones fluid, we obtained the density profile and the surface tension, as well as their critical behaviour. In particular, we identified non-classical critical exponents. The theory accurately predicts the phase diagram and the interfacial properties in a very good agreement with simulations. We also showed that the method leads to true capillary-wave asymptotics in the macroscopic limit.
Related Concept Videos
Area Between Curves: Integrating With Respect to y
Distillation: Vapor–Liquid Equilibria
Phase Transitions: Vaporization and Condensation
Two Components: Liquid–Liquid Systems
Nonideal Two-Component Liquid Solutions
Vapor Pressure of Fluid
When a liquid is placed in a closed container with a small air space, and the space is evacuated, vapor molecules will...

