Abstract
A number of techniques are presented for extrapolating from knowledge of the direct correlation function for a uniform fluid at various densities to that of the free energy and associated density profile of a nonuniform fluid. A primitive mathematical model is followed by models based upon physical characteristics of exactly solved systems, from the nonnegativity of linear response functions to the explicit form of a nonuniform hard rod fluid. Attention is paid to physical requirements which are not satisfied and suggestions are made for future progress.
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Percus, J.K. Free energy models for nonuniform classical fluids. J Stat Phys 52, 1157–1178 (1988). https://doi.org/10.1007/BF01011639
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DOI: https://doi.org/10.1007/BF01011639