Abstract:
The method of collective variables with a distinguished reference system is developed to the case of the grand canonical ensemble for multicomponent continuous systems. Thermodynamic relations are used to obtain an explicit form of the functional of the grand partition function that is suitable for describing phase transitions.
Citation:
O. V. Patsahan, I. R. Yukhnovskii, “Functional of the grand partition function in the method of collective variables with distinguished reference system. Multicomponent system”, TMF, 83:1 (1990), 72–82; Theoret. and Math. Phys., 83:1 (1990), 387–395
\Bibitem{PatYuk90}
\by O.~V.~Patsahan, I.~R.~Yukhnovskii
\paper Functional of~the grand partition function in~the method of~collective variables with distinguished reference system. Multicomponent system
\jour TMF
\yr 1990
\vol 83
\issue 1
\pages 72--82
\mathnet{http://mi.mathnet.ru/tmf5752}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1063688}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 83
\issue 1
\pages 387--395
\crossref{https://doi.org/10.1007/BF01019137}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EF63600009}
Linking options:
https://www.mathnet.ru/eng/tmf5752
https://www.mathnet.ru/eng/tmf/v83/i1/p72
This publication is cited in the following 6 articles:
I. R. Yukhnovskii, R. V. Romanik, “Grand partition function functional for simple fluids”, J. Phys. Stud., 28:2 (2024)
M. P. Kozlovskii, O. A. Dobush, “Behavior of a Binary Asymmetric Mixture of Interacting Particles in the Supercritical Region”, Ukr. J. Phys., 65:9 (2020), 768
O V Patsahan, I M Mryglod, “Critical behaviour of the restricted primitive model”, J. Phys.: Condens. Matter, 16:16 (2004), L235
R. S. Melnyk, O. V. Patsahan, “Vapor–liquid critical-point properties of a symmetric binary fluid mixture”, Theoret. and Math. Phys., 124:2 (2000), 1145–1156
O V Patsahan, M P Kozlovskii, R S Melnyk, “Ab initiostudy of the vapour-liquid critical point of a symmetrical binary fluid mixture”, J. Phys.: Condens. Matter, 12:8 (2000), 1595
O.V. Patsahan, “On the microscopic theory of phase transitions in binary fluid mixtures”, Physica A: Statistical Mechanics and its Applications, 272:3-4 (1999), 358
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