Thermodynamic response functions in a cell fluid model with Curie-Weiss interaction. I. Supercritical region

TL;DR

This paper derives explicit expressions for thermodynamic response functions in a cell fluid model with Curie-Weiss interaction, providing detailed analysis within the supercritical region.

Contribution

It presents exact formulas for response functions in a Curie-Weiss cell fluid model, expanding understanding of supercritical thermodynamics.

Findings

Response functions are explicitly derived and graphically presented.

The study provides insights into thermodynamic behavior in the supercritical region.

Results are based on an exact equation of state for the model.

Abstract

Thermodynamic response functions, including the isothermal compressibility, the thermal pressure coefficient, and the thermal expansion coefficient, isochoric and isobaric heat capacities are explicitly derived for a many-particle system interacting through a Curie-Weiss-type potential. These calculations are based on an exact equation of state previously obtained for a cell fluid model in the grand canonical ensemble. The resulting response functions are presented graphically as functions of temperature, density, and chemical potential within the supercritical region.