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通过解析推导和数值计算的方法,得到了平衡态指向矢满足的微分方程和边界条件.研究了表面弹性能K13项对磁场作用下的弱锚定向列液晶盒Fréedericksz转变性质的影响.结果表明,表面弹性能K13项的存在对液晶系统的自由能有很大的影响,从而改变转变的性质,诱导液晶盒在阈值点发生一级Fréedericksz转变.给出了发生一级转变的物理条件,它除了与液晶的结构和材料有关外,还依赖于液晶表面弹性能K13项,同时给出了由此判断K13项是否存在的检验方法.
关键词:
表面弹性能K13项
弱锚定
Fréedericksz转变 相似文献
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First-order Fréedericksz transition at the threshold point for weak anchoring nematic liquid crystal cell under external electric and magnetic fields 总被引:1,自引:0,他引:1 下载免费PDF全文
Based on the modified formula of Rapini-Papoular, the equilibrium equation and boundary condition of the director have been obtained and the behaviour of the Fréedericksz transition at the threshold point has been studied for weak-anchoring nematic liquid crystal cells under external electric and magnetic fields with the methods of analytical derivation and numerical calculation. The results show that, except for the usual second-order transition, the first-order Fréedericksz transition can also be induced by a suitable surface anchoring technique for the liquid crystal cell given in the paper. The conditions for the existence of the first-order Fréedericksz transition are obtained. They are related to the material elastic coefficient k_{11}, k_{33} the thickness of the liquid crystal cell, the external electric field and the strength of surface anchoring, etc. 相似文献
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The anchoring properties of substrate with a grating surface are
investigated analytically. The alignment of nematic liquid
crystal (NLC) in a grating surface originates from two
mechanisms, thus the anchoring energy consists of two parts. One
originates from the interaction potential between NLC molecules
and the molecules on the substrate surface, and the other stems
from the increased elastic strain energy. Based on the two
mechanisms, the expression of anchoring energy per unit area of
a projected plane of this grating surface is deduced and called
the equivalent anchoring energy formula. Both the strength and
the easy direction of equivalent anchoring energy are a function
of the geometrical parameters (amplitude and pitch) of a grating
surface. By using this formula, the grating surface can be
replaced by its projected plane and its anchoring properties can
be described by the equivalent anchoring energy formula. 相似文献
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The Freedericksz transition of nematic liquid crystals with limited width of ele ctrode on substrates of the cell is investigated. Solving two-dimensional nonli near partial differential equations by means of numerical method, we obtained the sp ace distribution of the director of the liquid crystal. The threshold voltage is found to depend on the ratio of the electrode width l to the thickness of the liquid crystal layer d. The deflect angleθ of the director lapses near the edge of the electrode and the width of this lapsing area are discussed. 相似文献
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本文提出了反常作用的μ荷观点,μ荷不仅是一种反映μ-e禁戒性的量子数,而且是反常作用的承担者。在此观点下,讨论了轻子结构和μ-e质量差,得到了关于轻子结构的一些普遍定理。例如,证明了电子的反常作用和电磁作用形状因子相同等。在讨论轻子结构的基础上,得到了将μ-e质量差和轻子的电磁结构相联系的公式,证明了主要由于电磁作用干涉产生的μ荷-μ矩作用是反常作用自能的主要部分,它是负值,故是电子参与反常作用。利用电子的电磁结构数据能合理地解释μ-e质量差,而后者也提供了有关电子电磁结构的进一步知识。 相似文献
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