Abstract

Freezing of the hard spheres is re-examined using the modified weighted-density approximation (MWDA) of Denton and Ashcroft and the generalized effective-liquid approximation (GELA) of Lutsko and Baus. It is found that one owes part of success of these theories to the use of the Percus-Yevick (PY) direct correlation function and the corresponding equation of state of uniform fluids as the input data in these theories. In fact, if one uses virtually \lq\lqexact” input data in place of the PY ones, the free energies of the solid phase are somewhat lowered and predicted freezing properties worsen. It is argued that this unfavorable feature of the MWDA and the GELA becomes much more serious when these theories are applied to the reference hard spheres in the thermodynamic perturbation approach to freezing of systems with long-ranged potentials.

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