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arXiv 1611.04068cond-mat.mtrl-sci
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铁电材料电滞回线的数学模拟

Mathematical modeling of hysteresis loops in ferroelectric materials

Zhi Ma, Liying Xi, Xuming Wang, Yanan Ma, Fu Zheng, Hua Gao, Hongfei Liu, Huanming Chen

摘要:

在已发表的文献中,铁电材料的吉布斯自由能通常是通过保留6阶或8阶极化项来量化的。本文提出了一种新的吉布斯自由能解析模型,并由此从数学上导出了铁电材料极化-电场电滞回线的新模型。作为模型的验证,利用该模型描述了铁电材料极化-电场电滞回线的四种模式。计算结果表明,自相似模型可以通过调节外部激励或综合参数(如,电、温度和应力等)在模型中使用。

英文摘要:

In published papers, the Gibbs free energy of ferroelectric materials has usually been quantified by the retention of 6th or 8th order polarization terms. In this paper, a newly analytical model of Gibbs free energy, thereout, a new model of polarization-electric field hysteresis loops in ferroelectric materials has been derived mathematically. As a model validation, four patterns of polarization-electric field hysteresis loops of ferroelectric materials have been depicted by using the model. The calculated results indicated that the self-similar model can characterize the various patterns of hysteresis loops in ferroelectric materials through adjusting the external excitation or the synthetically parameter (e.g., electric, temperature, and stress, etc.) employed in the model.

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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