Surface tension of molecular liquids: Lattice gas approach

Abstract

The approach of global isomorphism between the fluid and the Ising model is applied to obtain an expression for the surface tension of the Lennard-Jones fluid on the basis of the information about the Ising model. This is done in a broad interval of temperatures along the phase coexistence, and is valid both in 2D and 3D. The relation between the critical amplitudes of the surface tension of the fluid and the Ising model is derived in the vicinity of the critical point. The obtained theoretical estimates agree well with the literature results for the surface tension. The methodology is demonstrated for the 2D LJ fluid on the basis of the exact solution of the 2D Ising model and is tested for the 3D LJ fluid. As a result, an expression for the surface tension without any fitting parameter is derived.

arXiv comment3 figures, conference PLMMP 2016, Kiev, May 27-30

References in corpus (13)

• The Magnetization of the 3D Ising Model
• Surface Tension, Surface Stiffness, and Surface Width of the 3-dimensional Ising Model on a Cubic Lattice
• Some universal trends of the Mie(n,m) fluid thermodynamics
• Simple geometrical interpretation of the linear character for the Zeno-line and the rectilinear diameter
• Direct Monte Carlo Measurement of the Surface Tension in Ising Models
• Gas-Liquid Nucleation in Two Dimensional System
• The critical compressibility factor value: associative fluids and liquid alkali metals
• Global isomorphism between the Lenard-Jones fluids and the Ising model
• Generalized principle of corresponding states and the scale invariant mean-field approach
• The unified picture for the classical laws of Batschinski and the rectilinear diameter for molecular fluids
• The critical compressibility factor of fluids from the Global Isomorphism approach
• The application of the global isomorphism to the study of liquid-vapor equilibrium in two and three dimensional Lenard-Jones fluids
• The application of the global isomorphism to the surface tension of the liquid-vapor interface of the Lennard-Jones fluids