Geodesic
Percus–Yevick type approximations and the Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 3, pp. 389-397 
V. L. Kuz'min. Percus–Yevick type approximations and the Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 3, pp. 389-397. http://geodesic.mathdoc.fr/item/TMF_1976_28_3_a9/
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     author = {V. L. Kuz'min},
     title = {Percus{\textendash}Yevick type approximations and the {Ising} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {389--397},
     year = {1976},
     volume = {28},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_3_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the Ising model with short range, approximations similar to the Percus–Yevick approximation are constructed. It is shown that among them one can select a complete class of approximations, call Percus–Yevick type approximations, which can be solved exactly. Near the critical point, the solution thus obtained gives the classical values of the critical indices. It is shown that one can readily construct an approximation of the Percus–Yevick type with an equation of state satisfying the scaling hypothesis.

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