Free energy models for nonuniform classical fluids

Jerome Percus

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1157-1178
Number of pages22
JournalJournal of Statistical Physics
Volume52
Issue number5-6
DOIs
StatePublished - Sep 1988

Fingerprint

Energy Model
Free Energy
free energy
Fluid
fluids
Linear Response
Nonnegativity
Density Profile
Response Function
Linear Function
suggestion
Correlation Function
mathematical models
rods
flux density
Mathematical Model
Model-based
requirements
Requirements
profiles

Keywords

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

ASJC Scopus subject areas

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

Cite this

Free energy models for nonuniform classical fluids. / Percus, Jerome.

In: Journal of Statistical Physics, Vol. 52, No. 5-6, 09.1988, p. 1157-1178.

Research output: Contribution to journalArticle

Percus, Jerome. / Free energy models for nonuniform classical fluids. In: Journal of Statistical Physics. 1988 ; Vol. 52, No. 5-6. pp. 1157-1178.
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