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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 6, p.533-538
https://doi.org/10.15407/ujpe62.06.0533    Paper

Ushcats M.V.1,2, Bulavin L.A.1, Sysoev V.M.1, Ushcats S.Yu.2

1 Taras Shevchenko National University of Kyiv
(2, Prosp. Academician Glushkov, Kyiv 03680, Ukraine)
2 Admiral Makarov National University of Shipbuilding
(9, Heroes of Ukraine Ave., Mykolaiv 54025, Ukraine; e-mail: mykhailo.ushcats@nuos.edu.ua)

Lattice Gas Condensation and its Relation to the Divergence of Virial Expansions in the Powers of Activity

Section: General Problems of Theoretical Physics
Original Author's Text:  Ukrainian

Abstract: An efficient algorithm for the calculation of high-order reducible cluster integrals on the basis of irreducible integrals (virial coefficients) has been proposed. The algorithm is applied to study the behavior of the well-known virial expansions of the pressure and concentration in power series of activity up to very high-order terms, as well as recently derived symmetric power expansions in the reciprocal activity, in the framework of a specific lattice gas model. Our results are consistent with those obtained in other modern studies of the partition function in terms of the concentration. They disclose the physical meaning of the divergence that the mentioned expansions demonstrate in the condensation region.

Key words: lattice gas, virial coefficients, reducible cluster integrals, activity, equation of state, condensation.