Nematic Liquid Crystal Cell with Bend Distortions Based on Modified Gruhn-Hess Pair Potential

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.