【作者】 周璇； 张志东；

【Author】 ZHOU Xuan,ZHANG Zhi-dong (School of Sciences,Hebei University of Technology,Tianjin 300401,China)

【机构】 河北工业大学理学院；

【摘要】 研究强锚泊弯曲形变向列相液晶盒,这种液晶盒具有快速响应的应用前景。已有连续体理论给出,表面弹性能k₁₃项将使液晶指向矢在表面处出现不连续。基于分子理论进行研究,两体势参数与表面弹性能系数k₁₃直接相联系。通过Monte Carlo模拟研究有限温度的影响。计算二阶序参数张量,最大本征值给出序参数,它所对应的本证矢量即为连续体理论中的指向矢。结果显示:基于分子理论并不出现表面处指向矢不连续;两体势中的k₁₃项将加剧弯曲盒中间层的涨落。由此推断,连续体理论中k₁₃项引起的边界不连续,由忽略弹性能中二阶以上高阶项所致。更多还原

【Abstract】 Strong anchoring nematic liquid crystal cell with bend distortions is studied,This liquid crystal cell has fast response in application prospects.The continuum theory has given that the surface elastic energy k₁₃ term causes surface discontinuities of the liquid crystal director.Study based on molecular theory,the pair potential parameters link directly to the surface elastic energy coefficient k₁₃.The effect of finite temperature is studied by Monte Carlo simulation.The second rank ordering tensor is calculated,the largest eigenvalue gives the order parameter,and its corresponding eigenvector identifies the director in the continuum theory.It is shown that it doesn’t present the surface discontinuities based on the molecular theory and the k₁₃ term in pair potential will increase the fluctuation in the middle of the cell.By inference,the boundary discontinuity caused by k₁₃ item in continuum theory is resulted from the neglecting of the higher items than the second rank of the elastic energy.更多还原