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

Abstract

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.

References in corpus (6)

• Simple geometrical interpretation of the linear character for the Zeno-line and the rectilinear diameter
• Some universal trends of the Mie(n,m) fluid thermodynamics
• The nature of the rectilinear diameter singularity
• Global isomorphism between the Lenard-Jones fluids and the Ising model
• Generalized principle of corresponding states and the scale invariant mean-field approach
• The application of the global isomorphism to the study of liquid-vapor equilibrium in two and three dimensional Lenard-Jones fluids

Cited by in corpus (4)

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• Hard-core attractive Yukawa fluid global isomorphism with the lattice gas model
• Global isomorphism approach: attractive Yukawa fluid, 2D case