Thermodynamic characteristics of two-dimensional fluids with isotropic pair interaction potentials

Abstract

A simple semi-empirical approximation of the energy density in two-dimensional liquids is proposed for the different types of isotropic pair potentials, commonly used for simulation of repulsion in kinetics of interacting particles. Coefficients of this approximation were obtained by the best fitting of the numerical data by the suggested analytical function. The proposed analytical expression of the energy density may be used for determination of any thermodynamic functions using the known formulae of thermodynamics. Comparisons of theoretical results with the numerical data are presented.