Gruhn, ThomasHess, Siegfried2018-11-102018-11-1019960932-0784https://depositonce.tu-berlin.de/handle/11303/8476http://dx.doi.org/10.14279/depositonce-7622In 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.en530 PhysikMonte Carlo simulationnematic liquid crystalArticle1865-7109