Geodesic
Analysis of the nonstar graphs of the Legendre transform in the ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 366-373 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     title = {Analysis of the nonstar graphs of the {Legendre} transform in the ising model},
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A. N. Vasil'ev; R. A. Radzhabov. Analysis of the nonstar graphs of the Legendre transform in the ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 3, pp. 366-373. http://geodesic.mathdoc.fr/item/TMF_1975_23_3_a8/

[1] A. N. Vasilev, R. A. Radzhabov, TMF, 21 (1974), 49 | MR

[2] D. Ulenbek, D. Ford, Lektsii po statisticheskoi mekhanike, «Mir», 1965

[3] R. Braut, Fazovye perekhody, «Mir», 1967

[4] R. Brout, Phys. Rev., 118 (1960), 1009 | DOI | MR | Zbl