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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 56, Number 3, Pages 405–417 (Mi tmf2228)  

Multiphase behavior of large interacting molecules on a flat square lattice in the Percus–Yevick approximation

Yu. V. Shulepov
References:
Abstract: In the Percus–Yevick approximation, the total and direct correlation matrices of the molecules of a lattice gas are found in the case of infinite repulsion of first neighbors and finite interaction $\varepsilon$ ($\varepsilon<0$) of second neighbors on a square lattice. Calculations are made of the thermodynamic functions, whose behavior reveals the occurrence in the system of phase transitions, which are of the continuous (of the type of ordering) and first kind. The critical temperature $x_{\mathrm c}=\exp(-\beta_{\mathrm B}\varepsilon)=2{.}933$ ($\beta_{\mathrm B}=1/k_{\mathrm B}T$ is the reciprocal absolute temperature) and the critical density $\rho_{\mathrm c}=0{.}158$ are determined. The phase diagram of the system is constructed.
Received: 20.09.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 56, Issue 3, Pages 903–911
DOI: https://doi.org/10.1007/BF01086258
Bibliographic databases:
Language: Russian
Citation: Yu. V. Shulepov, “Multiphase behavior of large interacting molecules on a flat square lattice in the Percus–Yevick approximation”, TMF, 56:3 (1983), 405–417; Theoret. and Math. Phys., 56:3 (1983), 903–911
Citation in format AMSBIB
\Bibitem{Shu83}
\by Yu.~V.~Shulepov
\paper Multiphase behavior of large interacting molecules on a~flat square lattice in the
Percus--Yevick approximation
\jour TMF
\yr 1983
\vol 56
\issue 3
\pages 405--417
\mathnet{http://mi.mathnet.ru/tmf2228}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 56
\issue 3
\pages 903--911
\crossref{https://doi.org/10.1007/BF01086258}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983SL29700008}
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  • https://www.mathnet.ru/eng/tmf/v56/i3/p405
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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