Abstract
The critical size of a nucleus and the temperature of the first-order phase transition in nanosized ferroelectrics are estimated. The effect the strength of an external electric field has on the critical size of a nucleus, the temperature of the phase transition, and the width of a temperature hysteresis is established.
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REFERENCES
Chandra, P. and Littlewood, P.B., in Physics of Ferroelectrics, Rabe, K.M., Ahn, C.H., and Triscone, J.M., Eds., Heidelberg: Springer, 2007
Glinchuk, M.D. and Ragulya, A.V., Nanoferroiki (Nanoferroics), Kyiv: Naukova Dumka, 2010.
Nechaev, V.N. and Shuba, A.V., Razmernye effekty v fazovykh perekhodakh i fizicheskikh svoistvakh ferroikov (Size Effects in Phase Transitions and Physical Properties of Ferroics), Moscow: INFRA-M, 2023.
Nechaev, V.N. and Shuba, A.V., Bull. Russ. Acad. Sci.: Phys., 2023, vol. 87, no. 9, p. 1270.
Privorotskii, I.A., Sov. Phys. JETP Lett., 1971, vol. 14, no. 12, p. 429.
Privorotskii, I.A., Zh. Eksp. Teor. Fiz., 1972, vol. 35, no. 3, p. 625.
Zmievskaya, G.I., Phys. Solid State, 2020, vol. 62, no. 1, p. 42.
Debenedetti, P.G., Metastable Liquids: Concepts and Principles, Princeton: Princeton Univ. Press, 1996.
Vehkamäki, H., Classical Nucleation Theory in Multicomponent Systems, Heidelberg: Springer, 2006.
Ermakov, G.V., Lipnyagov, E.V., and Perminov, S.A., Thermophys. Aeromech., 2012, vol. 19, no. 4, p. 667.
Landau, L.D. and Lifshits, E.M., Teoreticheskaya fizika (Theoretical Physics), vol. 8: Elektrodinamika sploshnykh sred (Electrodynamics of Continuous Media), Moscow: Fizmatlit, 2005.
Volmer, M., Kinetik der Phasenbildung (Kinetics of Phase Formation), Dresden: Steinkopff, 1939.
Landau, L.D. and Lifshits, E.M., Teoreticheskaya fizika (Theoretical Physics), vol. 5: Statisticheskaya fizika (Statistical Physisc), Moscow: Fizmatlit, 2002, part 1.
Kholodenko, L.P., Termodinamicheskaya teoriya segnetoelektrikov tipa titanata bariya (Thermodynamic Theory of Barium Titanate-Type Ferroelectrics), Riga: Zinatie, 1971.
Beskrovny, A., Golosovsky, I., Fokin, A., et al., Appl. Phys. A, 2002, vol. 74, p. S1001.
Nechaev, V.N. and Shuba, A.V., Sist. Upr. Inf. Tekhnol., 2009, vol. 37, no. 3.2, p. 271.
Fang, C., Phys. Status Solidi B, 2014, vol. 251, no. 8, p. 1619.
Novak, N., Pirc, R., and Kutnjak, Z., Ferroelectrics, 2014, vol. 469, p. 61.
Marathe, M., Renggli, D., Sanlialp, M., et al., Phys. Rev. B, 2017, vol. 96, p. 014102.
Shur, V.Ya. and Rumyantsev, E.I., Ferroelectrics, 1993, vol. 142, p. 1.
Schader, F.H., Aulbach, E., Webber, K.G., and Rosetti, G.A., Jr., J. Appl. Phys., 2013, vol. 113, p. 174103.
Grunebohm, A. and Nishimatsu, T., Phys. Rev. B, 2016, vol. 93, p. 134101.
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Translated by E. Bondareva
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Nechaev, V.N., Shuba, A.V. Features of First-Order Phase Transitions in Nanosized Ferroelectrics. Bull. Russ. Acad. Sci. Phys. 88, 721–727 (2024). https://doi.org/10.1134/S1062873824706482
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DOI: https://doi.org/10.1134/S1062873824706482