Abstract
A simple mapping between the two-Yukawa (TY) and Mie(α, β) potentials parameters is obtained, which allows to extend the first-order mean spherical approximation (FMSA) to the general Mie(α, β) fluids. The FMSA first-order Helmholtz free energy f1Mie of the Mie(12, 6) and the second-order reduced pressure P⁎Mie for the Mie(32, 6), Mie(14.65, 8), Mie(9, 6) and Mie(14, 6) potentials are found in very good agreement with recent numerical simulation results. The liquid-vapour equilibrium (LVE) diagram for the Mie(32, 6) fluid is constructed and use of a third-order term in the Helmholtz free energy improves the results in the critical region.
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