Some solvable models of nonuniform classical fluids

Jerome Percus

Research output: Contribution to journalArticle


A model classical fluid is constructed by assuming that the direct correlation function c(r - r′) is independent of any applied external field. Thermodynamic consistency requires that c(r - r′) ≥ 0, and permits explicit representation of the model by a many-body interaction potential. In the canonical ensemble, the model shows a phase transition to an infinite density condensed phase, but in the grand canonical ensemble only an anomalous transition to zero density vapor is found to stably exist.

Original languageEnglish (US)
Pages (from-to)921-930
Number of pages10
JournalJournal of Statistical Physics
Issue number5-6
Publication statusPublished - Mar 1986



  • density functional
  • many-body forces
  • Nonuniform fluid
  • phase transition

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

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