Nonlinear Dielectric Spectroscopy of the Goldstone Mode in a Ferroelectric Liquid Crystal

Nonlinear Dielectric Spectroscopy of the Goldstone Mode in a Ferroelectric Liquid Crystal
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铁电液晶中戈德斯通模式的非线性介电谱

DOI:
10.1143/jpsj.64.976
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发表时间:
1995
期刊:
影响因子:
--
通讯作者:
Y. Ishibashi
Y. Ishibashi
中科院分区:
--
文献类型:
--
作者:
H. Orihara;Akihiro Fukase;Y. Ishibashi

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本文在铁电液晶中进行了Goldstone模式的非线性介电光谱分析。根据Orihara和Ishibashi [J]从运动的现象学方程推导出的公式,对实验得到的三阶介电常数进行了分析。理论物理。Soc。日刊62(1993)[89]。该理论很好地再现了三阶介电常数的色散和Cole-Cole图,并且由线性和三阶介电常数得到的弛豫时间相同,表明该运动方程在得到非线性介电常数和线性介电常数时仍然有效。在实验结果的基础上,讨论了用分数阶导数表示的动力学方程。
The nonlinear dielectric spectroscopy of the Goldstone mode has been performed in a ferroelectric liquid crystal. The third-order dielectric constant obtained from the experiments was analyzed in terms of a formula derived from a phenomenological equation of motion by Orihara and Ishibashi [J. Phys. Soc. Jpn. 62 (1993) 489]. The dispersion and the Cole-Cole plot of the third-order dielectric constant were well reproduced by the theory, and the relaxation times obtained from the linear and the third-order dielectric constants were the same, indicating that the equation of motion is still valid in obtaining the nonlinear dielectric constants as well as the linear one. On the basis of the experimental results we discuss dynamic equations described in terms of fractional derivatives.