使用修正的Gruhn-Hess空间各向异性两体势模型研究弯曲形变向列相液晶盒.为了易与弹性理论的结果进行比较,做单一弹性常数近似.在理想有序条件下,对模型进行连续化处理,截断到形变的二阶项,给出的自由能密度公式与含k13项的弹性理论公式一致.使用模型直接研究强锚泊弯曲形变向列相盒,没有出现弹性理论给出的边界处不连续.通过Monte Carlo模拟研究发现,两体势中的k13项将加剧弯曲盒中间层的涨落.
Nematic liquid crystal cell with bend distortions is studied in a modified Gruhn-Hess spatially anisotropic pair potential model.Under one-constant approximation,we get continuous form of free energy density formula in a perfect order considering second rank distortions,which is consistent with elastic theory.Strong anchoring nematic liquid crystal cell with bend distortions in the model doesn't show surface discontinuities as in the elastic theory.With Monte Carlo simulation,we find that the k13 term in pair potential increases the fluctuation in the middle cell.