Equation of state for hard-sphere fluid in restricted geometry

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

Research output: Contribution to journalArticlepeer-review


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
Issue number15
StatePublished - Oct 15 2004

ASJC Scopus subject areas

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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