Geodesic
Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 38 (1983) no. 4, pp. 235-257 Cet article a éte moissonné depuis la source Math-Net.Ru

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S. E. Burkov; Ya. G. Sinai. Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 38 (1983) no. 4, pp. 235-257. http://geodesic.mathdoc.fr/item/RM_1983_38_4_a11/

[1] V. L. Pokrovsky, G. V. Uimin, “On the properties of monolayers of absorbed atoms”, J. Phys. C: Solid State Phys., 11 (1978), 3535–3549 | DOI

[2] J. Hubbard, “Generalized Wigner lattices in one dimension and some applications to tetracyanoquinodimethane (TCNQ)”, Salts; Phys. Rev. B, 17 (1978), 494–505 | DOI

[3] P. Bak, Incommensurate, Commensurate and Chaotic Phases, Preprint Nordita, 1982 | MR

[4] Ya. G. Sinai, Teoriya fazovykh perekhodov, Nauka, M., 1980 | MR

[5] R. L. Dobrushin, “Sluchainye gibbsovskie polya dlya reshetchatykh sistem s parnym vzaimodeistviem”, Funkts. analiz, 2 (1974), 31–43

[6] R. L. Dobrushin, “Usloviya otsutstviya fazovykh perekhodov v odnomernykh klassicheskikh modelyakh”, Matem. sb., 93 (1974), 29–49 | Zbl

[7] A. Ya. Khinchin, Tsepnye drobi, Nauka, M., 1978 | MR

[8] D. Ryuell, Statisticheskaya mekhanika, Mir, M., 1971

[9] P. Bak, R. Bruinsma, “One-dimensional Ising model and complete Devil's staircase”, Phys. Rev. Lett., 49 (1982), 249–252 | DOI | MR

[10] B. Mandelbrot, The fractal geometry of nature, W. H. Freeman and Co., San Fransisco, 1982 | MR | Zbl

[11] J. Bricmont, J. Lebowitz, Ch. Pfister, “On the equivalence of boundary conditions”, J. of Stat. Phys., 21 (1979), 573–582 | DOI | MR

[12] F. Dyson, “An Ising ferromagnet with discontinuous long range order”, Comm. Math. Phys., 21 (1971), 269–283 | DOI | MR

[13] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika (1), Nauka, M., 1976 | MR