Simple geometrical interpretation of the linear character for the Zeno-line and the rectilinear diameter

Abstract

The unified geometrical interpretation of the linear character of the Zeno-line (unit compressibility line Z=1) and the rectilinear diameter is proposed. We show that recent findings about the properties of the Zeno-line and striking correlation with the rectilinear diameter line as well as other empirical relations can be naturally considered as the consequences of the projective isomorphism between the real molecular fluids and the lattice gas (Ising) model.

7 pages, 2 figures

References in corpus (2)

• The nature of the rectilinear diameter singularity
• Is the thermodynamic behavior of the noble fluids consistent with the Principle of Corresponding States?

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