Order parameters in the Landau–de Gennes theory – the static and dynamic scenarios

Handle URI:
http://hdl.handle.net/10754/599107
Title:
Order parameters in the Landau–de Gennes theory – the static and dynamic scenarios
Authors:
Majumdar, Apala
Abstract:
We 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.
Citation:
Majumdar 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.
Publisher:
Informa UK Limited
Journal:
Liquid Crystals
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
17-Feb-2011
DOI:
10.1080/02678292.2010.534559
Type:
Article
ISSN:
0267-8292; 1366-5855
Sponsors:
This 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.
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Full metadata record

DC FieldValue Language
dc.contributor.authorMajumdar, Apalaen
dc.date.accessioned2016-02-25T13:53:00Zen
dc.date.available2016-02-25T13:53:00Zen
dc.date.issued2011-02-17en
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.en
dc.identifier.issn0267-8292en
dc.identifier.issn1366-5855en
dc.identifier.doi10.1080/02678292.2010.534559en
dc.identifier.urihttp://hdl.handle.net/10754/599107en
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.en
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.en
dc.publisherInforma UK Limiteden
dc.subjectElectric fieldsen
dc.subjectLandau-de gennes theoryen
dc.subjectNematic liquid crystalsen
dc.subjectOrder parametersen
dc.subjectSurface anchoringen
dc.titleOrder parameters in the Landau–de Gennes theory – the static and dynamic scenariosen
dc.typeArticleen
dc.identifier.journalLiquid Crystalsen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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