The Vliegenthart-Lekkerkerker relation: The case of the Mie-fluids

The Vliegenthart-Lekkerkerker relation for the second virial coefficient value at the critical temperature found in the work of Vliegenthart and Lekkerkerker [J. Chem. Phys. 112, 5364 (2000)] is discussed in connection with the scale invariant mean-field approach proposed by Kulinskii and Bulavin [J. Chem. Phys. 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. (C) 2011 American Institute of Physics. [doi:10.1063/1.3578469]