Nonuniform classical fluid at high dimensionality

H. L. Frisch, Jerome Percus

Research output: Contribution to journalArticle

Abstract

We investigate the existence of nonuniform thermodynamic states of classical fluids with purely repulsive finite-range interaction, such as that of hard spheres. Both free energy and nonuniform profile are obtained in the strict limit of an infinitely large spatial dimension. We establish the density at which the uniform state undergoes a Kirkwood instability, and provide a basis for the surmise that this instability leads continuously to an ordered lattice.

Original languageEnglish (US)
Pages (from-to)4696-4702
Number of pages7
JournalPhysical Review A
Volume35
Issue number11
DOIs
StatePublished - 1987

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fluids
free energy
thermodynamics
profiles
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Nonuniform classical fluid at high dimensionality. / Frisch, H. L.; Percus, Jerome.

In: Physical Review A, Vol. 35, No. 11, 1987, p. 4696-4702.

Research output: Contribution to journalArticle

Frisch, H. L. ; Percus, Jerome. / Nonuniform classical fluid at high dimensionality. In: Physical Review A. 1987 ; Vol. 35, No. 11. pp. 4696-4702.
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