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Structural and thermodynamic properties of fluids whose molecules interact via one-, two-, and three-step potentials

The structural and thermodynamic properties of fluids whose molecules interact via potentials with a hard-core plus a square well, a square shoulder, and a second square well, are considered. Those properties are derived by using a (semi-analytical) rational-function approximation method as a particular case of the more general formulation provided earlier involving potentials with a hard-core plus $n$ piecewise constant sections. Comparison of the results with recent simulation data confirms the usefulness of the approach.