Hard-core attractive Yukawa fluid global isomorphism with the lattice gas model

TL;DR

This paper investigates the global isomorphism between the liquid-vapor equilibrium of the hard-core attractive Yukawa fluid and the lattice gas model, analyzing how parameters depend on the potential's screening length and their relation to liquid state stability.

Contribution

It introduces a detailed analysis of the global isomorphism parameters and compares Zeno-element and virial Zeno-line parameters in the context of HCAYF.

Findings

Zeno-element parameters are sensitive to liquid state instability with short-range interactions.

Virial Zeno-line parameters do not show sensitivity to the interaction range.

The study clarifies the dependence of isomorphism parameters on the Yukawa potential screening length.

Abstract

In this work we study the global isomorphism between the liquid-vapor equilibrium of the hard-core attractive Yukawa fluid (HCAYF) and that of the Lattice Gas (LG) model of the Ising-like type. The applicability of the global isomorphism transformation and dependence of its parameters on the screening length of the Yukawa potential are discussed. These parameters determine both the slope of the rectilinear diameter of the liquid-vapor binodal and the Zeno-element which are the core ingredients of the fluid - lattice gas isomorphism. We compare the Zeno-element parameters with the virial Zeno-line parameters which are commonly used in the literature for the formulation of generalized law of the correspondent states. It is demonstrated that the Zeno-element parameters appear to be sensitive to the liquid state instability when the interaction potential becomes too short-ranged while the virial ones do not show any peculiarities connected with this specific of the HCAYF.