Abstract

The paper presents a numerical study, within a nonlinear generalization of the classical Ericksen–Leslie theory, of a new nonlinear mechanism for the formation of the regime of shock pressure on the boun-ding walls of a microsized twisted nematic cell (TNC), realized in the form of the kinklike traveling wave \(\mathcal{P}\)(z – \({v}t\)) under the effect of the externally applied electric field and induced by a strong local distribance of the director field in the form of a Gaussian (normal) distribution. The mechanisms responsible for the formation of the traveling wave of shock pressure propagating in the TNC from one of its boundaries to another are studied, and it is shown how the magnitude of the electric field and the shape of the localized initial perturbation of the director field affect the similarity of the traveling wave to the kinklike wave. Studies of the dynamic relaxation of the director field in TNCs also showed that, at temperatures exceeding the temperature for the nematic–smectic A (NA) T_NA phase transition by several dozen mK, fluctuations in the order parameter of the emerging smectic phase suppress the effect of the electric field and favor the singular behavior of the azimuthal anchoring energy density as T → T_NA.

中文翻译：

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向列扭曲细胞中行波形式的冲击压力机制的形成

摘要

本文在经典Er​​icksen-Leslie理论的非线性概括范围内，对一种新的非线性机制进行了数值研究，该机制用于在微型扭曲向列细胞（TNC）的边界壁上形成冲击压力状态，并实现了呈扭折状行波\（\ mathcal {P} \）（z – \（{v} t \））在外加电场的作用下并由高斯（正态）分布形式的指向矢场的强局部偏离引起。研究了形成在TNC中从其边界到另一边界传播的激波压力行波的机理，并显示了电场的大小和指向矢场的局部初始扰动的形状影响行波与类似扭结波的相似性。对跨国公司的导向器场动态弛豫的研究还表明，在超过向列-近交A（NA）T _NA温度的温度下相变达到数十mK，出现的近晶相的阶跃参数波动会抑制电场的影响，并有利于方位锚固能量密度的奇异行为，即T → T _NA。