Geodesic
On the Onsager's Model in the Neighborhood of the Phase Transition Point
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 4, pp. 80-87 Cet article a éte moissonné depuis la source Math-Net.Ru

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A global solution of the nonlinear integral Onsager's equation is studied in the small neighborhood of the critical point. The equation models the orientational phase transition from isotropic to anisotropic (nematic) phase in the system of stiff-elongated rods. The thermodynamic state of this system is studied.
Keywords: nonlinear integral equation, Onsager's model
Mots-clés : phase transition. 
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L. U. Bakhtieva. On the Onsager's Model in the Neighborhood of the Phase Transition Point. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 4, pp. 80-87. http://geodesic.mathdoc.fr/item/UZKU_2008_150_4_a5/

[1] Kayser R. F., Raveche H. J., “Bifurcation in Onsager's model of the isotropic-nematic transition”, Phys. Rev. A, 17:6 (1978), 2067–2072 | DOI

[2] Eskin L. D., “Uravnenie Onzagera kak uravnenie Lyapunova-Shmidta”, Izv. vuzov. Matematika, 1998, no. 8, 71–78 | MR | Zbl

[3] Bakhtieva L. U., Eskin L. D., “O modeli Parsonsa v okrestnosti kriticheskoi tochki orientatsionnogo fazovogo perekhoda v sisteme ellipsoidalnykh chastits”, Issled. po prikl. matem., 25, 2004, 48–54

[4] Bakhtieva L. U., Eskin L. D., “Priblizhenie $P_2, P_4$ v teorii orientatsionnykh fazovykh perekhodov v sisteme magnitnykh sterzhnei”, Issled. po prikl. matem., 26, 2006, 51–59

[5] Eskin L. D., “Ob integralnom uravnenii teorii fazovykh perekhodov v sisteme magnitnykh sterzhnei”, TMF, 109:3 (1996), 427–440 | MR | Zbl

[6] De Zhen P. Zh., Fizika zhidkikh kristallov, Mir, M., 1977, 400 pp.