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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry