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Literature Cited
R. Kubo, Thermodynamics [Russian translation], Mir, Moscow (1970).
R. E. Peierls, “On a minimum property of the free energy,” Phys. Rev.,54, 918 (1938).
V. G. Vaks, Introduction to the Microscopic Theory of Ferroelectrics [in Russian], Nauka, Moscow (1973).
R. B. Griffiths, “Thermodynamic inequality near the critical point for ferromagnets and fluids,” Phys. Rev. Lett.14, 623 (1965).
N. N. Bogolyubov, “On a variational principle in many-body problems,” Dokl. Akad. Nauk SSSR,119, 244 (1958).
N. N. Bogolyubov (Jr) and A. S. Shumovsky, “On the repulsive quasi-spin model,” Phys. Lett. A,35, 380 (1971).
T. Mitsui, “Theory of the ferroelectric effect in Rochelle salt,” Phys. Rev.,111, 1259 (1958).
B. Zeks, G. C. Shykla, and R. Blinc, “Dynamics of ferroelectric Rochelle salt,” Phys. Rev. B,3, 2306 (1971).
D. Kh. Blat and V. I. Zinenko, “Theory of ferroelectrics of the sulfate of ammonia type,” Fiz. Tverd. Tela (Leningrad),18, 3599 (1976).
N. N. Bogolyubov (Jr), Some Problems of Statistical Mechanics [in Russian], Vysshaya Skola, Moscow (1975).
N. N. Bogolyubov (Jr), “On the minimax principle for some model problems of statistical mechanics,” Yad. Fiz.,10, 425 (1969).
I. G. Brankov and A. S. Shumovskii, “On an exactly solvable model with interaction of particles of different species,” Soobshchenie (Communication) R4-7205 [in Russian], JINR, Dubna (1973).
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Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 46, No. 1, pp. 125–131, January, 1981.
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Osipov, M.A., Shumovskii, A.S. Violation of the principle of minimality of the free energy in the self-consistent field approximation for some models of ferroelectrics. Theor Math Phys 46, 83–87 (1981). https://doi.org/10.1007/BF01019453
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DOI: https://doi.org/10.1007/BF01019453