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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 83, Number 3, Pages 455–461 (Mi tmf5826)  
Gaussian approximation in the Ising model with long-range interaction

M. A. Popov
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Abstract: The infinite hierarchy of equations for the cumulants of the correlation functions of the longitudinal spin components in the Ising model with long-range interaction corresponding to a Gaussian form of the spectral density is investigated. The invariance of the cumulants with respect to permutation of the vertices is used to decouple the hierarchy. A phase transition of the second kind is described by the obtained system of equations for the cumulants of the first three orders in a three-dimensional model.
Received: 21.07.1989
English version:
Theoretical and Mathematical Physics, 1990, Volume 83, Issue 3, Pages 658–663
DOI: https://doi.org/10.1007/BF01018036
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Language: Russian
Citation: M. A. Popov, “Gaussian approximation in the Ising model with long-range interaction”, TMF, 83:3 (1990), 455–461; Theoret. and Math. Phys., 83:3 (1990), 658–663
Citation in format AMSBIB
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\by M.~A.~Popov
\paper Gaussian approximation in~the Ising model with long-range interaction
\jour TMF
\yr 1990
\vol 83
\issue 3
\pages 455--461
\mathnet{http://mi.mathnet.ru/tmf5826}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 83
\issue 3
\pages 658--663
\crossref{https://doi.org/10.1007/BF01018036}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990EX50100013}
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