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首页> 外文期刊>Zeitschrift fur Naturforschung. A, A journal of physical sciences >Monte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficients
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Monte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficients

机译：具有三个弹性系数的向列液晶的指向矢场的蒙特卡洛模拟

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In this article, a Monte Carlo simulation is presented, which generates the equilibrium director field of a nematic liquid crystal under the influence of an external field and fixed boundary conditions. The liquid crystal is characterized by a set of directors on a spatially fixed lattice. The simulation is based on an expression for the Frank free energy with three elastic coefficients. The chosen discretisation conserves the nematic symmetry, which means n and — n are equivalent. The results for several Frederiks geometries with homogeneous and spatially modulated external fields are shown, as well as an investigation of a capillary with homeotropic boundary conditions. Further we compare our method with the Lebwohl-Lasher model and introduce an extension of the latter which distinguishes between splay-, twist- and bend-configurations.
机译：在本文中，提出了一种蒙特卡罗模拟，该模拟在外场和固定边界条件的影响下生成向列液晶的平衡指向矢场。液晶的特征在​​于在空间固定的晶格上的一组指向矢。该模拟基于具有三个弹性系数的弗兰克自由能的表达式。选择的离散化保持向列对称，这意味着n和-n是等效的。显示了几种具有均匀且空间调制的外部场的腓特烈几何形状的结果，以及对具有垂直边界条件的毛细管的研究。此外，我们将我们的方法与Lebwohl-Lasher模型进行了比较，并引入了后者的扩展，以区分张开，扭曲和弯曲配置。

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