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

M. V. Ushcats; L. A. Bulavin; V. M. Sysoev; S. Yu. Ushcats

doi:10.15407/ujpe62.06.0533

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

Authors

M. V. Ushcats Taras Shevchenko National University of Kyiv, Admiral Makarov National University of Shipbuilding
L. A. Bulavin Taras Shevchenko National University of Kyiv
V. M. Sysoev Taras Shevchenko National University of Kyiv
S. Yu. Ushcats Admiral Makarov National University of Shipbuilding

DOI:

https://doi.org/10.15407/ujpe62.06.0533

Keywords:

lattice gas, virial coefficients, reducible cluster integrals, activity, equation of state, condensation

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 density 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 density. They disclose the physical meaning of the divergence that the mentioned expansions demonstrate in the condensation region.

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Published

2018-12-15

How to Cite

Ushcats, M. V., Bulavin, L. A., Sysoev, V. M., & Ushcats, S. Y. (2018). Lattice Gas Condensation and Its Relation to the Divergence of Virial Expansions in the Powers of Activity. Ukrainian Journal of Physics, 62(6), 533. https://doi.org/10.15407/ujpe62.06.0533

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Issue

Vol. 62 No. 6 (2017)

Section

General problems of theoretical physics

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