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

40 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

Access to Document

10.1080/02678292.2017.1290284Licence: CC BY

Cite this

@article{69916fdebbb54737b6592128d1997459,

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.",

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

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

year = "2017",

month = feb,

day = "21",

doi = "10.1080/02678292.2017.1290284",

language = "English",

pages = "1--18",

journal = "Liquid Crystals",

issn = "0267-8292",

publisher = "Taylor and Francis",

}

TY - JOUR

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 - http://www.scopus.com/inward/record.url?scp=85013480739&partnerID=8YFLogxK

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

U2 - 10.1080/02678292.2017.1290284

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

Access to Document

Other files and links

Fingerprint

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

Cite this

From molecular to continuum modelling of bistable liquid crystal devices

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Projects

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

Cite this