向列液晶表面弹性能K13项的物理效应及检验方法

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     

基本粒子的质量关系和层子相互作用

本文利用重子和介子的SU(6)波函数,讨论强子内部的层子作用,分析各个质量关系的动力学根源,建立重子和介子质量的联系,并求得了几个联系二者的新关系:(ρ-π)/(K^*-K)=(△-N)/(Σ^*-Σ), 4(∧-N)=3(K^*-ρ)+(K-π), (ρ-π)/(△-N)=((φ-ρ)-2(K-π))/(2(Ω-△)-3/2(K-π)-9/4(φ-ρ)).研究了它们的成立与层子-层子力和层子-反层子力的对称性的联系。     

First-order Fréedericksz transition at the threshold point for weak anchoring nematic liquid crystal cell under external electric and magnetic fields

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.     

Anchoring properties of substrate with a grating surface

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.     

胆甾相液晶的相诱导双轴性

采用胆甾相液晶的格胞理论,运用一定的统计方法,导出分布函数,定义序参数张量,由此推导出自由能表达式．在定域坐标系中,对胆甾相的长程取向序参数Ｓ和相诱导双轴序参数Δ进行了数值计算．所得的结果较前人有了不同程度的改善,和实验接近 关键词：     

液晶界面物理效应研究及进展

液晶表面和与它接触的固体表面的相互作用，作为边界条件对液晶显示起着重要的控制作用，并影响着液晶表现出的各种物理效应．液晶表面和界面科学一直是液晶物理学研究的重要领域．这一领域内一个重要的课题是，从物理机理出发寻找正确反映界面作用规律的数学物理方程，以便完善发展液晶界面理论，指导界面诱导技术．文章就这一研究领域已取得的成果、未解决的问题、当前研究的热点(一级转变和挠曲电效应)及目前有争议的问题(表面弹性项是否存在等)进行了介绍。     

THE WIDTH EFFECT OF ELECTRODE IN THE FREEDERICKSZ TRANSITION OF NEMATIC LIQUID CRYSTALS

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 angleθ of the director lapses near the edge of the electrode and the width of this lapsing area are discussed.     

论反常作用、轻子结构和μ-e质量差

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。     

中间玻色子理论Ⅱ.超子的非轻子衰变

本文用中间玻色子理论,讨论了超子的非轻子衰变,考虑了各种衰变机构,解释了FMS极点,建立了李氏和则的更广泛的动力学基础,并求得了和实验大致相符的衰变率和不对称系数。     

液体理论中的Kirkwood变分方法的推广

本文克服了Cohen理论的缺点,对液体理论中Kirkwood变分方法作了推广。经过这样推广,格胞模型理论就可以系统地考虑分子运动关联性的任何级近似。把所得结果应用到一维情形,得到的自由能是严格正确的。应用到三维情形,最低级近似得LJD结果,一级近似得Taylor结果。