From molecular to continuum modelling of bistable liquid crystal devices

Martin Robinson; Chong Luo; Patrick E. Farrell; Radek Erban; Apala Majumdar

doi:10.1080/02678292.2017.1290284

From molecular to continuum modelling of bistable liquid crystal devices

Martin Robinson
, Chong Luo
, Patrick E. Farrell
, Radek Erban
, Apala Majumdar

Research output: Contribution to journal › Article › peer-review

50 Citations (SciVal)

Abstract

We study nematic equilibria on a square with tangent Dirichlet conditions on the edges, in three different modelling frameworks: (i) the off-lattice Hard Gaussian Overlap and Gay–Berne models; (ii) the lattice-based Lebwohl–Lasher model; and the (iii) two-dimensional Landau-de Gennes model. We compare the modelling predictions, identify regimes of agreement and in the Landau-de Gennes case, find up to 21 different equilibria. Of these, two are physically stable.

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Liquid Crystals
Early online date	21 Feb 2017
DOIs	https://doi.org/10.1080/02678292.2017.1290284
Publication status	E-pub ahead of print - 21 Feb 2017

Keywords

bifurcation
Bistable liquid crystals
Gay–Berne
Hard Gaussian Overlap (HGO)
Landau-de Gennes
Lebwohl–Lasher

ASJC Scopus subject areas

General Chemistry
General Materials Science
Condensed Matter Physics

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10.1080/02678292.2017.1290284Licence: CC BY

Cite this

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title = "From molecular to continuum modelling of bistable liquid crystal devices",

abstract = "We study nematic equilibria on a square with tangent Dirichlet conditions on the edges, in three different modelling frameworks: (i) the off-lattice Hard Gaussian Overlap and Gay{\textendash}Berne models; (ii) the lattice-based Lebwohl{\textendash}Lasher model; and the (iii) two-dimensional Landau-de Gennes model. We compare the modelling predictions, identify regimes of agreement and in the Landau-de Gennes case, find up to 21 different equilibria. Of these, two are physically stable.",

keywords = "bifurcation, Bistable liquid crystals, Gay{\textendash}Berne, Hard Gaussian Overlap (HGO), Landau-de Gennes, Lebwohl{\textendash}Lasher",

author = "Martin Robinson and Chong Luo and Farrell, \{Patrick E.\} and Radek Erban and Apala Majumdar",

year = "2017",

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doi = "10.1080/02678292.2017.1290284",

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T1 - From molecular to continuum modelling of bistable liquid crystal devices

AU - Robinson, Martin

AU - Luo, Chong

AU - Farrell, Patrick E.

AU - Erban, Radek

AU - Majumdar, Apala

PY - 2017/2/21

Y1 - 2017/2/21

N2 - We study nematic equilibria on a square with tangent Dirichlet conditions on the edges, in three different modelling frameworks: (i) the off-lattice Hard Gaussian Overlap and Gay–Berne models; (ii) the lattice-based Lebwohl–Lasher model; and the (iii) two-dimensional Landau-de Gennes model. We compare the modelling predictions, identify regimes of agreement and in the Landau-de Gennes case, find up to 21 different equilibria. Of these, two are physically stable.

AB - We study nematic equilibria on a square with tangent Dirichlet conditions on the edges, in three different modelling frameworks: (i) the off-lattice Hard Gaussian Overlap and Gay–Berne models; (ii) the lattice-based Lebwohl–Lasher model; and the (iii) two-dimensional Landau-de Gennes model. We compare the modelling predictions, identify regimes of agreement and in the Landau-de Gennes case, find up to 21 different equilibria. Of these, two are physically stable.

KW - bifurcation

KW - Bistable liquid crystals

KW - Gay–Berne

KW - Hard Gaussian Overlap (HGO)

KW - Landau-de Gennes

KW - Lebwohl–Lasher

UR - https://www.scopus.com/pages/publications/85013480739

UR - http://dx.doi.org/10.1080/02678292.2017.1290284

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DO - 10.1080/02678292.2017.1290284

M3 - Article

AN - SCOPUS:85013480739

SN - 0267-8292

SP - 1

EP - 18

JO - Liquid Crystals

JF - Liquid Crystals

ER -

From molecular to continuum modelling of bistable liquid crystal devices

Abstract

Keywords

ASJC Scopus subject areas

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Fellowship - The Mathematics of Liquid Crystals: Analysis, Computation and Applications

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From molecular to continuum modelling of bistable liquid crystal devices

Abstract

Keywords

ASJC Scopus subject areas

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Projects

Fellowship - The Mathematics of Liquid Crystals: Analysis, Computation and Applications

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