The Monte Carlo simulations of liquid crystal cell with bend distortions

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. (authors)