Abstract:
New integral equations for radial distribution function are obtained on the basis of the conditions for generating functionals. The first equation generalises the well-known parametric integral equations in which the direct correlation function is a linear combination of the Percus–Yevick and hyper-netted-chain direct correlation functions. It is shown that there is no available approximation for the critical region between these approximations. Choosing the generating functional of a special form the second equation for the radial distribution function is derived. This equation is suitable for the correct description of the fluid equilibrium properties near the critical point as well as far from it. The equation of state connected with this integral equation is investigated in the critical, gaseous and intermediate regions. The question about universality
of the critical behaviour is discussed.
Citation:
V. M. Sysoev, A. V. Chalyi, “Integral equations for radial distribution function with effective allowance for long-range interaction”, TMF, 44:2 (1980), 251–262; Theoret. and Math. Phys., 44:2 (1980), 725–732
\Bibitem{SysCha80}
\by V.~M.~Sysoev, A.~V.~Chalyi
\paper Integral equations for radial distribution function with effective allowance for long-range interaction
\jour TMF
\yr 1980
\vol 44
\issue 2
\pages 251--262
\mathnet{http://mi.mathnet.ru/tmf3614}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=587306}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 44
\issue 2
\pages 725--732
\crossref{https://doi.org/10.1007/BF01018454}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LL99100011}
Linking options:
https://www.mathnet.ru/eng/tmf3614
https://www.mathnet.ru/eng/tmf/v44/i2/p251
This publication is cited in the following 6 articles:
I. A. Fakhretdinov, E. R. Zhdanov, “An investigation of metastable states of binary mixtures in the neighborhood of spinodal using the integral equation method”, High Temperature, 45:5 (2007), 628–631
N.S. Gonchar, “Correlation functions of some continuous model systems and description of phase transitions”, Physics Reports, 172:5 (1989), 175
A. L. Blokhin, A. V. Chalyi, “Scale-invariant description of the critical region in the method of integral equations for the correlation functions”, Theoret. and Math. Phys., 66:2 (1986), 173–182
V. M. Sysoev, I. A. Fakhretdinov, A. V. Chalyi, “Integral equations for the radial distribution functions of binary mixtures. Equation of state for a binary mixture”, Soviet Physics Journal, 29:1 (1986), 82
M. S. Labinov, V. M. Sysoev, A. V. Chalyi, “The equation of state, structure, and thermodynamic properties of water over a wide range of pressure”, J Struct Chem, 24:1 (1983), 77
V. M. Sysoev, A. V. Chalyi, “Equation of state of condensed media”, Soviet Physics Journal, 24:12 (1981), 1104
Citation in format AMSBIB
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