We simulated nematic liquid crystal confined under patterned substrates. In one of the simulated surfaces, the easy axis is planar and uniform, while the other one offers a periodic alignment, with well-defined modulation. We use Monte Carlo simulations within a lattice model to determine the molecular organization of the confined sample built to produce periodic deformations. Stable disclination lines emerge on the samples, spaced with the same modulation length of the periodic surface. When a small pretilt is implemented on the surfaces, the periodicity is altered and a configuration where the disclination lines are spaced by two periods emerges. A transition between two periods to one period spaced disclination line is possible by decreasing the thickness or applying an electric field. The effects of different set of the liquid crystals elastic constants are also analyzed. The applied model seems to be able to reproduce quite well the optical images obtained in recently published experiments.

我们模拟了限制在图案基板下的向列液晶。在一个模拟表面中，易轴是平面且均匀的，而另一个则提供周期性对齐，并具有明确定义的调制。我们在晶格模型中使用蒙特卡罗模拟来确定为产生周期性变形而构建的受限样品的分子组织。稳定的向错线出现在样品上，以相同的周期表面调制长度间隔开。当在表面上实施小的预倾斜时，周期性会改变，并且向错线间隔两个周期的配置出现。通过减小厚度或施加电场，可以在两个周期之间过渡到一个周期间隔的旋错线。还分析了不同组液晶弹性常数的影响。应用的模型似乎能够很好地再现最近发表的实验中获得的光学图像。