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

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

2009-12-17

arxiv.org/abs/0912.3470v3

J. Phys. Chem. B, 2010, v. 114, pp 2852-2855

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures

Scientific paper

10.1021/jp911897k

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.

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