ANALYTICAL EQUATION OF STATE FOR LENNARD-JONES MIXTURES

By adopting the newly proposed two-Yukawa function [Y. Tang, Z. Tong, B.C.-Y. Lu, An analytical equation of state based on the Ornstein-Zern ike equation. Fluid Phase Equilibria 134 (1997) 21-42] and our general solution of the Ornstein-Zernike equation for mixtures, an analytical expression in terms of the Laplace transform is obtained for the radi al distribution function of LJ mixtures. The expression is found to be in good agreement with computer simulation data. Subsequently, an ana lytical equation of state (EOS), which is an extension of our recent E OS of the pure LJ fluid [Y. Tang, Z. Tong, B.C.-Y. Lu, An analytical e quation of state based on the Ornstein-Zernike equation. Fluid Phase E quilibria 134 (1997) 21-42], is obtained for LJ mixtures. One powerful advantage of the new EOS is that it can be implemented in a simple an alytical manner, and is free of integration. By comparing with compute r simulation data, the EOS is found to predict very satisfactorily som e typical thermodynamic properties of mixtures, including pressure, ex cess free energy, and chemical potential at infinite dilution. The pre dictions are also found to be better than the van der Waals one-fluid theory and to be overall better than two perturbation theories propose d recently. (C) 1998 Elsevier Science B.V. All rights reserved.