Free energy models for nonuniform classical fluids

J. K. Percus

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)1157-1178
Number of pages22
JournalJournal of Statistical Physics
Issue number5-6
StatePublished - Sep 1988


  • Nonuniform fluid
  • density functional
  • positivity restrictions
  • profile equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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