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Based on reversion motion of dipoles in ferroelectrics under the electric field in the random field Ising model, the relationship between electric field and polarization in order-disorder transition is investigated, and the function tanh(x) for the electric field in order-disorder transition is coincident with the experimental relationship between electric field and polarization in the second order ferroelectric transition. Therefore, increases in polarization and internal poling field are due to the collective motion of dipoles, where electric field and temperature are critical in the polarization and Gibbs free energy. By distinguishing the contributions between optic mode and polarization portion with a gaussian-type distribution of Curie-temperature, and considering a complex dispersion form of dielectric permittivity contributed by dipoles, the relationships between dielectric permittivity and temperature, as well as frequency, are derived.
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Keywords:
- ferroelectric transition /
- polarization /
- random field
[1] Yao X, Chen Z L, Cross L E 1983 J. Appl. Phys. 54 3399
[2] Yao X, Chen Z L, Cross L E 1984 Ferroelectrics 54 163
[3] Cross L E 1987 Ferroelectrics 76 241
[4] Shang X Z, Chen W, Cao W Q 2012 Acta Phys. Sin. 61 217701 (in Chinese) [尚勋忠, 陈威, 曹万强2012 61 217701]
[5] Tang X G, Chew K H, Chan H L W 2004 Acta Mater. 52 5177
[6] Fisch R 2003 Phys. Rev. B 67 094110
[7] Mitsui T, Tatszaki, Nakamura E 1983 An Introduction to the Physics of Ferroelectrics (Beijing: Science Press) p152 (in Chinese) [三井利夫, 达崎达, 中村英二 1983 铁电物理学导论 (北京: 科学出版社)第152页]
[8] Aubry S 1975 J. Chem. Phys. 62 3216
[9] Hennings D, Schnell A, Simon G 1982 J. Am. Ceram. Soc. 65 539
[10] Kleemann W 2012 J. Adv. Diel. 2 1241001
[11] Zhu C, Liu J M 2010 Chin. Phys. B 19 097702
[12] Zhong W L 1996 Ferroelectrics (Beijing: Science Press) p73 (in Chinese) [钟维列 1996 铁电物理学 (北京: 科学出版社) 第73页]
[13] Chen W, Cao W Q 2012 Acta Phys. Sin. 61 097701 (in Chinese) [陈威, 曹万强2012 61 097701]
[14] Cao W Q, Shu M F 2013 Acta Phys. Sin. 62 017701 (in Chinese) [曹万强, 舒明飞 2013 62 017701]
[15] Shang Y L, Shu M F, Chen W, Cao W Q 2012 Acta Phys. Sin. 61 197701 (in Chinese) [尚玉黎, 舒明飞, 陈威, 曹万强2012 61 197701]
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[1] Yao X, Chen Z L, Cross L E 1983 J. Appl. Phys. 54 3399
[2] Yao X, Chen Z L, Cross L E 1984 Ferroelectrics 54 163
[3] Cross L E 1987 Ferroelectrics 76 241
[4] Shang X Z, Chen W, Cao W Q 2012 Acta Phys. Sin. 61 217701 (in Chinese) [尚勋忠, 陈威, 曹万强2012 61 217701]
[5] Tang X G, Chew K H, Chan H L W 2004 Acta Mater. 52 5177
[6] Fisch R 2003 Phys. Rev. B 67 094110
[7] Mitsui T, Tatszaki, Nakamura E 1983 An Introduction to the Physics of Ferroelectrics (Beijing: Science Press) p152 (in Chinese) [三井利夫, 达崎达, 中村英二 1983 铁电物理学导论 (北京: 科学出版社)第152页]
[8] Aubry S 1975 J. Chem. Phys. 62 3216
[9] Hennings D, Schnell A, Simon G 1982 J. Am. Ceram. Soc. 65 539
[10] Kleemann W 2012 J. Adv. Diel. 2 1241001
[11] Zhu C, Liu J M 2010 Chin. Phys. B 19 097702
[12] Zhong W L 1996 Ferroelectrics (Beijing: Science Press) p73 (in Chinese) [钟维列 1996 铁电物理学 (北京: 科学出版社) 第73页]
[13] Chen W, Cao W Q 2012 Acta Phys. Sin. 61 097701 (in Chinese) [陈威, 曹万强2012 61 097701]
[14] Cao W Q, Shu M F 2013 Acta Phys. Sin. 62 017701 (in Chinese) [曹万强, 舒明飞 2013 62 017701]
[15] Shang Y L, Shu M F, Chen W, Cao W Q 2012 Acta Phys. Sin. 61 197701 (in Chinese) [尚玉黎, 舒明飞, 陈威, 曹万强2012 61 197701]
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