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TMF, 1975, Volume 23, Number 3, Pages 366–373 (Mi tmf3911)  

This article is cited in 3 scientific papers (total in 3 papers)

Analysis of the nonstar graphs of the Legendre transform in the ising model

A. N. Vasil'ev, R. A. Radzhabov

Leningrad State University

Abstract: Investigation (started in [1]) of the first Legendre transformation for the logarithm of the statistical sum in the Ising model is continued. The diagram expansion of the Legendre transformation $\Phi$ is the analogue of the virial expansion in the nonideal gas theory, however in contrast to the gas theory, in the case of the Ising model the functional $\Phi$ contains nonstar graphs as well. Complete characterisation of these graphs is given. The practical method of constructing the nonstar graphs (the compensation method) is suggested.

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English version:
Theoretical and Mathematical Physics, 1975, 23:3, 575–579

Received: 17.07.1974

Citation: A. N. Vasil'ev, R. A. Radzhabov, “Analysis of the nonstar graphs of the Legendre transform in the ising model”, TMF, 23:3 (1975), 366–373; Theoret. and Math. Phys., 23:3 (1975), 575–579

Citation in format AMSBIB
\Bibitem{VasRad75}
\by A.~N.~Vasil'ev, R.~A.~Radzhabov
\paper Analysis of the nonstar graphs of the Legendre transform in the ising model
\jour TMF
\yr 1975
\vol 23
\issue 3
\pages 366--373
\mathnet{http://mi.mathnet.ru/tmf3911}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 23
\issue 3
\pages 575--579
\crossref{https://doi.org/10.1007/BF01041677}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. N. M. Bogolyubov, V. F. Brattsev, A. N. Vasil'ev, A. L. Korzhenevskii, R. A. Radzhabov, “High-temperature expansions at an arbitrary magnetization in the ising model”, Theoret. and Math. Phys., 26:3 (1976), 230–237  mathnet  crossref
    2. G. V. Matvienko, “Critical behavior of the ferromagnetic ising chain with interaction $J_{ij}=|i-j|^{-2}$”, Theoret. and Math. Phys., 63:3 (1985), 635–640  mathnet  crossref  isi
    3. G. V. Matvienko, “Critical behavior of a plane Ising antiferromagnet with two-dimensional dipole interaction”, Theoret. and Math. Phys., 69:2 (1986), 1156–1163  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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