A Mean Field Theory approach to a model with Dipole-Quadrupole interaction

TL;DR

This paper applies mean field theory to analyze a model describing a mixture of CO and N2 adsorbed on graphite, deriving phase diagrams and analytical expressions for phase transitions.

Contribution

It introduces a mean field theoretical framework for a dipole-quadrupole interaction model with analytical phase transition lines.

Findings

Derived phase diagrams for the model.

Obtained analytical expressions for second order phase transition lines.

Validated the mean field approach for the adsorption system.

Abstract

We study a model initially proposed to describe a mixture of (CO) and (N2) adsorbed on exfoliated graphite. The approach used here is that of mean field theory. The Mean Field equations and the Helmholtz Free Energy are found. Phase diagrams are calculated too, and it is possible to find an analytical expression for the second order phase transition line.