The critical compressibility factor of fluids from the Global Isomorphism approach

Abstract

The relation between the critical compressibility factors $Z_c$ of the Lennard-Jones fluid and the Lattice Gas (Ising model) is derived within the global isomorphism approach. On this basis we obtain the alternative form for the value of the critical compressibility factor which is different from widely used phenomenological Timmermans relation. The estimates for the critical pressure $P_c$ and $Z_c$ of the Lennard-Jones fluid are obtained in case of two and three dimensions. The extension of the formalism is proposed to include the Pitzer's acentric factor into consideration.

10 pages, 1 table, 1 Figure

References in corpus (4)

• Simple geometrical interpretation of the linear character for the Zeno-line and the rectilinear diameter
• Global isomorphism between the Lenard-Jones fluids and the Ising model
• The unified picture for the classical laws of Batschinski and the rectilinear diameter for molecular fluids
• The application of the global isomorphism to the study of liquid-vapor equilibrium in two and three dimensional Lenard-Jones fluids

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• The application of the global isomorphism to the surface tension of the liquid-vapor interface of the Lennard-Jones fluids