Higher-order interactions in the linear ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 474-480
I. S. Donskaya. Higher-order interactions in the linear ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 3, pp. 474-480. http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a15/
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     author = {I. S. Donskaya},
     title = {Higher-order interactions in the linear ising model},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_3_a15/}
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The linear Ising model with many-particle interactions of arbitrary form is considered. By means of difference equations an exact solution is obtained for the correlation functions of the model, and the general behavior for the two-spin correlation functions in their dependence on the length of the complex of interacting particles is established. The case of a three-particle interaction is analyzed in detail.

[1] Kaufman B., Phys. Rev., 76:8 (1949), 1232–1243 | DOI | MR | Zbl

[2] Baxter R. J., Phys. Rev. Lett., 26:14 (1971), 832–833 | DOI

[3] Wu F. Y., Phys. Rev., B4:7 (1971), 2312–2314

[4] Baxter R. J., Wu F. Y., Austr. J. Phys., 27:7 (1974), 357–367 ; 369–381 | DOI | MR | MR

[5] Milatovic' M., Miloŝevic' S., Phys. Stat. Sol. B, 82:1 (1977), 193–203 | DOI | MR

[6] Zhelifonov M. P., TMF, 8:3 (1971), 401–412

[7] Zelifonov M. P., Galiullin R. T., Phys. Lett., 42A:6 (1973), 417–418 | DOI | MR

[8] Tyablikov S. V., Metody kvantovoi teorii magnetizma, Nauka, M., 1975 | MR

[9] Galiullin R. T., Zhelifonov M. P., Trudy mezhdunarodnoi konferentsii po magnetizmu (MKM-73), T. 4, Nauka, M., 1974, 259–258

[10] Gelfond A. O., Ischislenie konechnykh raznostei, Nauka, M., 1967 | MR

[11] Mattis D., Teoriya magnetizma, Mir, M., 1985

[12] Kessel A. R., Berim G. O., Magnitnyi rezonans izingovskikh magnetikov, Nauka, M., 1982

[13] Bekster R., Tochno reshaemye modeli v statisticheskoi mekhanike, Mir, M., 1985 | MR

[14] Felderhov B. U., Suzuki M., Physica, 56:1 (1971), 43–61 | DOI | MR