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Main Title: Monte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficients
Author(s): Gruhn, Thomas
Hess, Siegfried
Type: Article
Language Code: en
Abstract: 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.
Issue Date: 1996
Date Available: 10-Nov-2018
DDC Class: 530 Physik
Subject(s): Monte Carlo simulation
nematic liquid crystal
Sponsor/Funder: DFG, SFB 335, Anisotrope Fluide
Journal Title: Zeitschrift für Naturforschung A
Publisher: De Gruyter
Publisher Place: Berlin
Volume: 51
Issue: 1-2
Publisher DOI: 10.1515/zna-1996-1-201
Page Start: 1
Page End: 9
EISSN: 1865-7109
ISSN: 0932-0784
Appears in Collections:Inst. Theoretische Physik » Publications

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