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dc.contributor.authorMajumdar, Apala
dc.date.accessioned2016-02-25T13:53:00Z
dc.date.available2016-02-25T13:53:00Z
dc.date.issued2011-02-17
dc.identifier.citationMajumdar A (2011) Order parameters in the Landau–de Gennes theory – the static and dynamic scenarios. Liquid Crystals 38: 169–181. Available: http://dx.doi.org/10.1080/02678292.2010.534559.
dc.identifier.issn0267-8292
dc.identifier.issn1366-5855
dc.identifier.doi10.1080/02678292.2010.534559
dc.identifier.urihttp://hdl.handle.net/10754/599107
dc.description.abstractWe obtain quantitative estimates for the scalar order parameters of liquid crystal configurations in three-dimensional geometries, within the Landau-de Gennes framework. We consider both static equilibria and non-equilibrium dynamics and we include external fields and surface anchoring energies in our formulation. Using maximum principle-type arguments, we obtain explicit bounds for the corresponding scalar order parameters in both static and dynamic situations; these bounds are given in terms of the material-dependent thermotropic coefficients, electric field strength and surface anchoring coefficients. These bounds provide estimates for the degree of orientational ordering, quantify the competing effects of the different energetic contributions and can be used to test the accuracy of numerical simulations. © 2011 Taylor & Francis.
dc.description.sponsorshipThis publication is based on work supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) to the Oxford Centre for Collaborative Applied Mathematics. The author thanks Professor Epifanio Virga for suggesting some of the problems in Section 2.
dc.publisherInforma UK Limited
dc.subjectElectric fields
dc.subjectLandau-de gennes theory
dc.subjectNematic liquid crystals
dc.subjectOrder parameters
dc.subjectSurface anchoring
dc.titleOrder parameters in the Landau–de Gennes theory – the static and dynamic scenarios
dc.typeArticle
dc.identifier.journalLiquid Crystals
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04


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