Monte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficients

dc.contributor.authorGruhn, Thomas
dc.contributor.authorHess, Siegfried
dc.date.accessioned2018-11-10T16:34:53Z
dc.date.available2018-11-10T16:34:53Z
dc.date.issued1996
dc.description.abstractIn 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.en
dc.description.sponsorshipDFG, SFB 335, Anisotrope Fluideen
dc.identifier.eissn1865-7109
dc.identifier.issn0932-0784
dc.identifier.urihttps://depositonce.tu-berlin.de//handle/11303/8476
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-7622
dc.language.isoen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subject.ddc530 Physikde
dc.subject.otherMonte Carlo simulationen
dc.subject.othernematic liquid crystalen
dc.titleMonte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficientsen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.1515/zna-1996-1-201
dcterms.bibliographicCitation.issue1-2
dcterms.bibliographicCitation.journaltitleZeitschrift für Naturforschung Ade
dcterms.bibliographicCitation.originalpublishernameDe Gruyteren
dcterms.bibliographicCitation.originalpublisherplaceBerlinen
dcterms.bibliographicCitation.pageend9
dcterms.bibliographicCitation.pagestart1
dcterms.bibliographicCitation.volume51
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Theoretische Physikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinde
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