The Vliegenthart-Lekkerkerker relation. The case of the $Mie$-fluids

Details The Vliegenthart-Lekkerkerker relation. The case of the $Mie$-fluids The Vliegenthart-Lekkerkerker relation. The case of the $Mie$-fluids

2011-04-13

arxiv.org/abs/1104.2391v1

J. Chem. Phys., 2011, v. 134, p. 144111

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1063/1.3578469

The Vliegenthart-Lekkerkerker relation for the second virial coefficient value at the critical temperature found in [G. A. Vliegenthart and H. N. W. Lekkerkerker, J. Chem. Phys. \textbf{112} 5364 (2000)] is discussed in connection with the scale invariant mean-field approach proposed in [V. L. Kulinskii and L. A. Bulavin, J. Chem. Phys. \textbf{133} 134101 (2010)]. We study the case of the Mie-class potentials which is widely used in simulations of the phase equilibrium of the fluids. It is shown that due to the homogeneity property of the $Mie$-class potentials it is possible to connect the loci of the fluids with these model potentials in different dimensions.

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