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ISSN 2071-0186   Ukr. J. Phys. 2015, Vol. 60, N 8, p.808-825
doi:10.15407/ujpe60.08.0808    Paper

Kozlovskii M.P., Dobush O.A., Romanik R.V.

Institute for Condensed Matter Physics, Nat. Acad. of Sci. of Ukraine
(1, Svientsitskii Str., Lviv 79011, Ukraine; e-mail: mpk@icmp.lviv.ua, dobush@icmp.lviv.ua,
romanik@icmp.lviv.ua)

Concerning a Calculation of the Grand Partition Function Of A Fluid Model

Section: General problems of theoretical physics
Language: English

Abstract: The calculation method of the grand partition function of a simple fluid model in the frame of a generalized lattice model, where each cell may contain a random number of particles, is proposed. As an interaction potential between particles, the Morse potential is chosen. In vcourse of calculations, the summation over the number of particles and the integration over their coordinates are performed. Using the simplest approximation, the equation of state valid in a wide temperature range is obtained. At temperatures lower than the critical one, the presence of horizontal plots on the pressure vs density curve is found.

Key words: coexistence curve, collective variables, reference system, simple fluid, equation of state.