论文部分内容阅读
基于分子两体势研究向列相液晶的形变 .该两体势是空间各向异性的并且依赖于液晶的弹性常数 .理论处理中假定具有理想向列序 ,这意味着分子长轴取向方向与液晶指向矢是重合的 ,而总自由能等于总相互作用能 .以解析形式研究了三种基本的Fr啨ｅｄｅｒｉｃｋｓｚ转变并对混合排列向列相液晶盒中的指向矢分布进行了数值计算 .检查了文献中最近提出的两种从弹性能到两体作用势的映射方案 ,发现只有一种方案给出的结果与连续体理论一致
The deformation of nematic liquid crystals is studied based on the molecular bimodal potential, which is spatially anisotropic and depends on the elastic constants of the liquid crystals. Theoretically, it is assumed that the nematic liquid crystal has a perfect nematic order, which means that the orientation direction of the long axis of the molecule and The director of the liquid crystal is coincident, and the total free energy equals the total interaction energy.The three fundamental Fr 啨 edericksz transitions are studied analytically and the director distribution in the mixed-aligned nematic liquid crystal cell is numerically calculated. In the recent literature, two mapping schemes from elastic energy to two-body potential are found, and only one scheme gives the same result as the continuum theory