Global isomorphism approach: attractive Yukawa fluid, 2D case

TL;DR

This paper applies the global isomorphism approach to analyze the liquid-vapor equilibrium of a 2D attractive Yukawa fluid, revealing how Zeno-element parameters relate to phase stability and connecting critical temperatures across dimensions.

Contribution

It introduces a novel application of the fluid-lattice gas global isomorphism to 2D Yukawa fluids and explores the role of Zeno-element in phase stability analysis.

Findings

Zeno-element parameters serve as markers for liquid phase instability.

The relation between 3D and 2D critical temperatures is established.

Asymptotic behavior of Zeno-element parameters indicates phase transition points.

Abstract

In this paper we apply fluid-lattice gas global isomorphism approach to liquid-vapor equilibrium of Yukawa attractive fluid in the two dimensions. The construction of tangent to the binodal of the fluid in the low-temperature region is performed based on the Zeno-element. The dependence of Zeno-element and Boyle parameters on interaction parameters is also studied. It is shown that the asymptotic behavior of the Zeno-element parameters can serve as a marker for liquid phase instability in this case. We also provide the relation between critical temperatures of bulk (3D) and monolayer (2D) fluid.