Generalized principle of corresponding states and the scale invariant mean-field approach

Abstract

In this paper we apply the global isomorphism approach [V.~L. Kulinskii, J. Phys. Chem. B \textbf{114} 2852 (2010)] between the Lennard-Jones fluids and Lattice Gas model to the study of the liquid-vapor equilibrium for the systems with the short-ranged potentials like Buckingham and the $Mie$-potentials. The estimates for the critical point locus correlate quite well with the available numerical data. Also within the proposed approach we give the explanation for the correlation between the value of the second virial coefficient at the critical temperature and the particle volume found in [G. A. Vliegenthart and H. N. W. Lekkerkerker, J. Chem. Phys. \textbf{112} 5364 (2000)].

15 pages, 4 figures

References in corpus (4)

• 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

Cited by in corpus (7)

• The critical compressibility factor value: associative fluids and liquid alkali metals
• The unified picture for the classical laws of Batschinski and the rectilinear diameter for molecular fluids
• The Vliegenthart-Lekkerkerker relation. The case of the $Mie$-fluids
• Surface tension of molecular liquids: Lattice gas approach
• Phase transition in a cell fluid model
• Hard-core attractive Yukawa fluid global isomorphism with the lattice gas model
• Global isomorphism approach: attractive Yukawa fluid, 2D case