Abstract:
The total and direct correlation matrices of the distribution of dimers on a square lattice are calculated in the Percus–Yevick approximation. The solution that correctly describes the thermodynamic behavior of a lattice gas of dimers is distinguished among several solutions of the system of equations for the elements of the direct correlation matrix. The difference between the thermodynamic functions calculated by means of this solution and the functions found by extrapolating the power-law expansions becomes appreciable
only near the closely packed state of the lattice gas and in this region does not exceed 6%.
Citation:
E. V. Aksenenko, Yu. V. Shulepov, “Distribution of dimers on a plane square lattice in the Percus–Yevick approximation”, TMF, 47:3 (1981), 387–394; Theoret. and Math. Phys., 47:3 (1981), 532–538
\Bibitem{AksShu81}
\by E.~V.~Aksenenko, Yu.~V.~Shulepov
\paper Distribution of dimers on a~plane square lattice in the Percus--Yevick approximation
\jour TMF
\yr 1981
\vol 47
\issue 3
\pages 387--394
\mathnet{http://mi.mathnet.ru/tmf2394}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 47
\issue 3
\pages 532--538
\crossref{https://doi.org/10.1007/BF01019304}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MX63700009}
Linking options:
https://www.mathnet.ru/eng/tmf2394
https://www.mathnet.ru/eng/tmf/v47/i3/p387
This publication is cited in the following 1 articles:
Yu. V. Shulepov, “Multiphase behavior of large interacting molecules on a flat square lattice in the
Percus–Yevick approximation”, Theoret. and Math. Phys., 56:3 (1983), 903–911
Citation in format AMSBIB
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