A phase field model for liquid-vapour phase transitions

TL;DR

This paper introduces a phase-field model for liquid-vapor phase transitions that incorporates the critical point, extending previous models to better capture the transition dynamics.

Contribution

The paper extends an existing phase-field model to include the critical point in the liquid-vapor phase transition framework.

Findings

Model successfully incorporates critical point effects.

Captures density jump at phase transition.

Provides a basis for simulating phase transition dynamics.

Abstract

We propose a model describing the liquid-vapour phase transition according to a phase-field approach. The model takes up a setting proposed by the second author, where a phase field is introduced whose equilibrium values 0 and 1 are associated to the liquid and vapour phases. The phase field obeys Ginzburg-Landau equation and enters the constitutive relation of the density, accounting for the sudden density jump occurring at the phase transition. In this paper we concern ourselves with the extension of this model to take into account the existence of the critical point in the coexistence line.