Entropy of the cell fluid model with Curie-Weiss interaction

TL;DR

This paper analytically derives the entropy of a cell fluid model with Curie-Weiss interaction, revealing phase transition features and entropy minima at specific densities, enhancing understanding of complex fluid behaviors.

Contribution

It provides an analytical expression for entropy in a cell fluid model with multiple occupancy and explores its phase transition characteristics and entropy minima.

Findings

Entropy exhibits minima near integer densities.

Model shows an infinite sequence of first-order phase transitions at low temperatures.

Entropy can be expressed as a function of temperature and chemical potential.

Abstract

Entropy of the cell fluid model with Curie-Weiss interaction is obtained in analytical form as a function of temperature and chemical potential. A parametric equation is derived representing the entropy as a function of density. Features of both the entropy per particle and the entropy per cell are investigated at the entropy-density and entropy-chemical potential planes. The considered cell model is a multiple-occupancy model and possesses an infinite sequence of first-order phase transitions at sufficiently low temperatures. We find that the entropy exhibits pronounced minima at around integer-valued particle densities, which may be a generic feature of multiple-occupancy models.