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 TMF, 1972, Volume 11, Number 3, Pages 385–402 (Mi tmf2878)

Calculation of correlation functions in the ising model with long-range interaction

Yu. A. Tserkovnikov

Abstract: The Ising model with a large number $z$ of interacting neighbors is considered. A perturbation theory is constructed on the basis of the method of steepest descents, and it is used to obtain asymptotic estimates for the correlation functions in any order in $1/z$. The temperature dependence of the correlation functions is investigated in the lowest approximations.

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English version:
Theoretical and Mathematical Physics, 1972, 11:3, 588–600

Citation: Yu. A. Tserkovnikov, “Calculation of correlation functions in the ising model with long-range interaction”, TMF, 11:3 (1972), 385–402; Theoret. and Math. Phys., 11:3 (1972), 588–600

Citation in format AMSBIB
\Bibitem{Tse72}
\by Yu.~A.~Tserkovnikov
\paper Calculation of correlation functions in the ising model with long-range interaction
\jour TMF
\yr 1972
\vol 11
\issue 3
\pages 385--402
\mathnet{http://mi.mathnet.ru/tmf2878}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 11
\issue 3
\pages 588--600
\crossref{https://doi.org/10.1007/BF01028376}

• http://mi.mathnet.ru/eng/tmf2878
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This publication is cited in the following articles:
1. S. I. Kubarev, “Random field method in statistical mechanics”, Theoret. and Math. Phys., 22:1 (1975), 50–58
2. D. A. Garanin, V. S. Lutovinov, “Quasi-Taylor series in the theory of magnetism”, Theoret. and Math. Phys., 62:2 (1985), 177–183
3. V. E. Zobov, “Autocorrelation function of a Heisenberg paramagnet in the approximation of a self-consistent fluctuating field”, Theoret. and Math. Phys., 77:3 (1988), 1299–1309
4. M. A. Popov, “Gaussian approximation in the Ising model with long-range interaction”, Theoret. and Math. Phys., 83:3 (1990), 658–663
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