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arXiv 1208.4975cond-mat.mes-hallcond-mat.mtrl-sci
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非对称边界条件下薄膜二阶铁电相变的尺寸效应

Size effects on the second order ferroelectric phase transition in a thin film with non-symmetric boundary conditions

K. R. Gabbasova, A. L. Pirozerskii, E. V. Charnaya

摘要:

本文讨论了任意边界条件下薄膜中二阶铁电或铁弹相变的唯象理论的解析解。分析了相应欧拉-拉格朗日方程的一般相平面图。对于某些特定的外推长度,发现了薄膜中的序参量分布。外推长度与相反的符号的情况下,也被认为是数字。结果表明,当外推长度具有相同的绝对值和相反的符号时,序参量和相变温度的尺寸效应明显减弱。

英文摘要:

The analytical solution is considered for the phenomenological theory of the second order ferroelectric or ferroelastic phase transition in a thin film with arbitrary boundary conditions. The general phase-plane portrait for the relevant Euler-Lagrange equation was analyzed. The order parameter distribution in the film was found for some particular sets of extrapolation lengths. The case of extrapolation lengths with opposite signs was also considered numerically. It was shown that the size effect on the order parameter and transition temperature is remarkably weakened when the extrapolation lengths have similar absolute values and opposite signs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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