平行排列液晶盒的挠曲电效应及一级Fréedericksz转变  

Flexoelectric Effect in Horizontal Oriented LC Cell and First-order Fréedericksz Transition

作　　者：叶文江[1] 张志东[1] 邢红玉[1] 

机构地区：[1]河北工业大学物理系,天津300130

出　　处：《液晶与显示》2005年第3期229-234,共6页Chinese Journal of Liquid Crystals and Displays

基　　金：河北省自然科学基金资助项目(No.103002);河北省高校重点学科建设资助项目

摘　　要：基于液晶弹性理论研究了平行排列液晶盒中的挠曲电效应,通过变分理论得到了液晶指向矢满足的微分方程及边界条件。应用差分迭代方法进行了数值求解,得到了液晶指向矢随不同的参数变化的曲线。增大液晶盒厚度、上下基板锚定能系数以及增大预倾角这3种方法,在考虑挠曲电效应对液晶指向矢分布的影响时是等效的。研究了介电效应和挠曲电效应同时作用下的一级Fr啨edericksz转变问题。当|Δ<ε|较大、A较小时,将会发生一级Fr啨edericksz转变。Based on the elastic theory of liquid crystal and variation theory, the flexoelectric effect in horizontal oriented LC cell is studied, and the differential equation and boundary condition about the director of liquid crystal are obtained. Finite-difference iterative method is used for numerical solution, and some curvatures varied with different parameters are obtained. Three ways of increasing the thickness of liquid crystal cell, the coefficients of anchoring energy of two plates and pretilt angle are equivalent when considering the influence of flexoelectric effect on the director of liquid crystal. The questions (about) first-order Fréedericksz transition are studied when the electric effect and the flexoelectric effect are considered all together. The first-order Fréedericksz transition will come up when ｜Δε｜ is bigger and A is smaller.

关 键 词：液晶 挠曲电效应 差分迭代方法 一级Fréedericksz转变 

分 类 号：O753.2[理学—晶体学]