Geodesic
Orientational phase transition in solid $\mathrm C_{60}$: bifurcation approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 479-491 Cet article a éte moissonné depuis la source Math-Net.Ru

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A simple model for the angle-dependent interaction between $\mathrm C_{60}$ molecules in the face-centered cubic lattice is proposed. The bifurcations of the solutions of the nonlinear integral equations for orientational distribution functions in the mean-field approximation are analyzed, and the orientational phase transition in solid $\mathrm C_{60}$ is described. The quantitative results for the orientational phase transition agree with the experimental data. 
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     title = {Orientational phase transition in solid $\mathrm C_{60}$: bifurcation approach},
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E. E. Tareeva; T. I. Shchelkacheva. Orientational phase transition in solid $\mathrm C_{60}$: bifurcation approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 479-491. http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a9/

[1] J. J. Kozak, Adv. Chem. Phys., 40 (1979), 229 | DOI

[2] E. E. Tareeva, T. I. Trapezina, DAN SSSR, 223 (1975), 823

[3] E. E. Tareeva, T. I. Trapezina, TMF, 26 (1976), 269 ; Е. Е. Тареева, Т. И. Щелкачева, ТМФ, 31 (1977), 359 ; E. E. Tareyeva, T. I. Trapezina, Phys. Lett. A, 51 (1975), 114 | DOI

[4] H. L. Lemberg, S. A. Rice, Physica, 63 (1973), 48 | DOI

[5] A. N. Shramkov, P. P. Shtifanyuk, TMF, 90 (1992), 246 | MR

[6] T. I. Shchelkacheva, Phys. Lett. A, 239 (1998), 397 | DOI

[7] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M., 1946 | MR

[8] A. Hammerstein, Acta Math., 54 (1930), 117 | DOI | MR | Zbl

[9] M. A. Krasnoselskii, Topologicheskie metody v teorii nelineinykh integralnykh uravnenii, Gostekhizdat, M., 1956

[10] M. M. Vainberg, V. A. Trenogin, Teoriya vetvleniya reshenii nelineinykh uravnenii, Nauka, M., 1969 | MR

[11] B. P. Feuston, W. Andreoni, M. Parinello, E. Clementi, Phys. Rev. B, 44 (1991), 4056 ; N. Troullier, J. L. Martins, Phys. Rev. B, 46 (1992), 1754 | DOI | DOI

[12] W. I. F. David, R. M. Ibberson, T. J. S. Dennis, J. P. Hare, K. Prassides, Europhys. Lett., 18 (1992), 219 | DOI

[13] P. A. Heiney, G. B. M. Vaughan, J. E. Fischer, N. Coustel, D. E. Cox, J. R. D. Copley, D. A. Neumann, W. A. Kamitakahara, K. M. Creegan, D. M. Cox, J. P. McCauley, Jr., A. B. Smith III, Phys. Rev. B, 45 (1992), 4544 | DOI

[14] R. Blinc, J. Selinger, J. Dolinsek, D. Arcon, Phys. Rev. B, 49 (1994), 4993 | DOI

[15] V. V. Brazhkin, A. G. Lyapin, UFN, 166 (1996), 893 | DOI

[16] K. H. Michel, J. R. D. Copley, D. A. Neumann, Phys. Rev. Lett., 68 (1992), 2929 | DOI

[17] T. Yildirim, A. B. Harris, Phys. Rev. B, 46 (1992), 7878 | DOI

[18] J. P. Lu, X.-P. Li, R. M. Martin, Phys. Rev. Lett., 68 (1992), 1551 | DOI

[19] R. Heid, Phys. Rev. B, 47 (1993), 15912 | DOI

[20] S. Lapinskas, E. E. Tornau, A. Rosengren, Phys. Rev. B, 49 (1994), 9372 | DOI

[21] P. Launois, S. Ravy, R. Moret, Phys. Rev. B, 55 (1997), 2651 | DOI

[22] Z. Gamba, Phys. Rev. B, 57 (1998), 1402 | DOI

[23] A. B. Harris, Physica A, 205 (1994), 154 | DOI

[24] W. I. F. David, Europhys. News, 24 (1993), 71

[25] O. Blaschko, G. Krexner, Ch. Maier, R. Karawatzky, Phys. Rev. B, 56 (1997), 2288 | DOI

[26] F. Gugenberger, R. Heid, C. Meingast, P. Adelman, M. Braun, H. Wühl, M. Haluska, H. Kuzmany, Phys. Rev. Lett., 69 (1992), 3774 | DOI

[27] M. Sprik, A. Cheng, M. L. Klein, J. Phys. Chem., 96 (1992), 2027 | DOI

[28] V. L. Aksenov, Yu. A. Osipyan, V. S. Shakhmatov, ZhETF, 113 (1998), 1081

[29] T. Yildrim, A. B. Harris, S. C. Erwin, M. R. Pederson, Phys. Rev. B, 48 (1993), 1888 | DOI

[30] N. V. Cohan, Proc. Cambridge Phil. Soc., 54 (1958), 28 | DOI | MR | Zbl

[31] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika. Nerelyativistskaya teoriya, Nauka, M., 1974 | MR