摩擦基板间液晶薄层的Monte Carlo模拟

利用Monte Cario方法模拟平行基板间液晶薄层的指向矢分布。在基板表面处，液晶薄层受到表面作用势的作用使液晶分子沿面平行排列，采用Lebwohl—Lasher模型，将分子质心固定在简单立方晶格的格点上，并对此格点模型赋以周期性边界条件，然后将简立方格点模型分为平行于基板的20个分子薄层，得到各薄层的指向矢分布的数值结果。计算中同时考虑了基板作用引起的双轴对称性。

Monte Carlo Simulation of Liquid Crystal Film Between Rubbed Substrate

By the Monte Carlo simulation, the order distribution of the thin liquid crystal films between the two rubbed substrate is studied. In the surface of the substrate the liquid crystal molecules parallel to the surface as a consequence of the surface potential. Adopting the Lebwohl Lasher model, the mole cular centers of mass are located at the sites of the simple cubic lattice with period boundary conditions. The simple cubic lattice is separated into 20 molecular layers paralleling to the rubbed surface and the numerical calculations are made for each layers. In addition, the symmetry of the biaxiality induced by the surface action is considered in this simulation.