Monte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficients
| dc.contributor.author | Gruhn, Thomas | |
| dc.contributor.author | Hess, Siegfried | |
| dc.date.accessioned | 2018-11-10T16:34:53Z | |
| dc.date.available | 2018-11-10T16:34:53Z | |
| dc.date.issued | 1996 | |
| dc.description.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. | en |
| dc.description.sponsorship | DFG, SFB 335, Anisotrope Fluide | en |
| dc.identifier.eissn | 1865-7109 | |
| dc.identifier.issn | 0932-0784 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/8476 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-7622 | |
| dc.language.iso | en | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ | |
| dc.subject.ddc | 530 Physik | de |
| dc.subject.other | Monte Carlo simulation | en |
| dc.subject.other | nematic liquid crystal | en |
| dc.title | Monte Carlo Simulation of the Director Field of a Nematic Liquid Crystal with Three Elastic Coefficients | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.doi | 10.1515/zna-1996-1-201 | |
| dcterms.bibliographicCitation.issue | 1-2 | |
| dcterms.bibliographicCitation.journaltitle | Zeitschrift für Naturforschung A | de |
| dcterms.bibliographicCitation.originalpublishername | De Gruyter | en |
| dcterms.bibliographicCitation.originalpublisherplace | Berlin | en |
| dcterms.bibliographicCitation.pageend | 9 | |
| dcterms.bibliographicCitation.pagestart | 1 | |
| dcterms.bibliographicCitation.volume | 51 | |
| tub.accessrights.dnb | free | |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Theoretische Physik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | de |
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