Equation of state for hard-sphere fluid in restricted geometry

I. E. Kamenetskiy, K. K. Mon, Jerome Percus

Research output: Contribution to journalArticle

Abstract

A hard-sphere fluid at equilibrium in a narrow cylindrical pore with hard walls for pore radii R<(√3+2)/4 was studied. A simple analytical equation of state for almost all ranges of pressure was obtained using a transfer operator formalism and expanding in low- and high-pressure regions. It was demonstrated that a convenient analytical representation can be choosen to accurately describe the equation of state within the error of the Monte Carlo simulation. The form of the partition function in the canonical isobaric ensemble was presented considering a model of N particles with periodic boundary condition.

Original languageEnglish (US)
Pages (from-to)7355-7361
Number of pages7
JournalJournal of Chemical Physics
Volume121
Issue number15
DOIs
StatePublished - Oct 15 2004

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Equations of state
equations of state
porosity
Fluids
Geometry
fluids
geometry
partitions
low pressure
boundary conditions
formalism
operators
radii
Boundary conditions
simulation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Equation of state for hard-sphere fluid in restricted geometry. / Kamenetskiy, I. E.; Mon, K. K.; Percus, Jerome.

In: Journal of Chemical Physics, Vol. 121, No. 15, 15.10.2004, p. 7355-7361.

Research output: Contribution to journalArticle

Kamenetskiy, IE, Mon, KK & Percus, J 2004, 'Equation of state for hard-sphere fluid in restricted geometry', Journal of Chemical Physics, vol. 121, no. 15, pp. 7355-7361. https://doi.org/10.1063/1.1795131
Kamenetskiy, I. E. ; Mon, K. K. ; Percus, Jerome. / Equation of state for hard-sphere fluid in restricted geometry. In: Journal of Chemical Physics. 2004 ; Vol. 121, No. 15. pp. 7355-7361.
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