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

Mathematics And Statistics

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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)	2267-2284
Number of pages	18
Journal	Liquid Crystals
Volume	44
Issue number	14-15
DOIs	https://doi.org/10.1080/02678292.2017.1290284
Publication status	Published - 21 Feb 2017

Keywords

bistable liquid crystals
bifurcation
hard gaussian overlap (HGO)
Gay–Berne
Lebwohl–Lasher
Landau-de Gennes

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Robinson-etal-LC-2017-From-molecular-to-continuum-modelling-of-bistable-liquid-crystal-devicesFinal published version, 2.77 MBLicence: CC BY 4.0

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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–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.",

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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 - bistable liquid crystals

KW - bifurcation

KW - hard gaussian overlap (HGO)

KW - Gay–Berne

KW - Lebwohl–Lasher

KW - Landau-de Gennes

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DO - 10.1080/02678292.2017.1290284

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VL - 44

SP - 2267

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JO - Liquid Crystals

JF - Liquid Crystals

IS - 14-15

ER -

From molecular to continuum modelling of bistable liquid crystal devices

Abstract

Keywords

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