Domain growth in cholesteric blue phases: hybrid lattice Boltzmann simulations

O. Henrich, D. Marenduzzo, K. Stratford, M. E. Cates

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier-Stokes equation to a finite difference method to solve the dynamical equations governing the evolution of the liquid crystalline order parameter. We apply this method to study the growth of cholesteric blue phase domains, within a cholesteric phase. We focus on the growth of blue phase II and on a thin slab geometry in which the domain wall is flat. Our results show that, depending on the chirality, the growing blue phase is either BPII with no or few defects, or another structure with hexagonal ordering. We hope that our simulations will spur further experimental investigations on quenches in micron-size blue phase samples. The computational size that our hybrid lattice Boltzmann scheme can handle suggest that large scale simulations of new generation of blue phase liquid crystal device are within reach.
LanguageEnglish
Pages2360-2369
Number of pages10
JournalComputers and Mathematics with Applications
Volume59
Issue number7
Early online date23 Sep 2009
DOIs
Publication statusPublished - 30 Apr 2010

Fingerprint

Domain Growth
Lattice Boltzmann
Cholesteric liquid crystals
Chirality
Domain walls
liquid crystals
Finite difference method
Liquid crystals
Navier Stokes equations
Equations of motion
Simulation
simulation
Crystalline materials
chirality
Liquid Crystal
Navier-Stokes equation
Defects
domain wall
Geometry
equations of motion

Keywords

  • Lattice Boltzmann simulations
  • liquid crystals
  • cholesterics
  • blue phases

Cite this

Henrich, O. ; Marenduzzo, D. ; Stratford, K. ; Cates, M. E. / Domain growth in cholesteric blue phases : hybrid lattice Boltzmann simulations. In: Computers and Mathematics with Applications. 2010 ; Vol. 59, No. 7. pp. 2360-2369.
@article{67c5a0ff57474363a68b159f9201474e,
title = "Domain growth in cholesteric blue phases: hybrid lattice Boltzmann simulations",
abstract = "Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier-Stokes equation to a finite difference method to solve the dynamical equations governing the evolution of the liquid crystalline order parameter. We apply this method to study the growth of cholesteric blue phase domains, within a cholesteric phase. We focus on the growth of blue phase II and on a thin slab geometry in which the domain wall is flat. Our results show that, depending on the chirality, the growing blue phase is either BPII with no or few defects, or another structure with hexagonal ordering. We hope that our simulations will spur further experimental investigations on quenches in micron-size blue phase samples. The computational size that our hybrid lattice Boltzmann scheme can handle suggest that large scale simulations of new generation of blue phase liquid crystal device are within reach.",
keywords = "Lattice Boltzmann simulations, liquid crystals, cholesterics, blue phases",
author = "O. Henrich and D. Marenduzzo and K. Stratford and Cates, {M. E.}",
year = "2010",
month = "4",
day = "30",
doi = "10.1016/j.camwa.2009.08.047",
language = "English",
volume = "59",
pages = "2360--2369",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
number = "7",

}

Domain growth in cholesteric blue phases : hybrid lattice Boltzmann simulations. / Henrich, O.; Marenduzzo, D.; Stratford, K.; Cates, M. E.

In: Computers and Mathematics with Applications, Vol. 59, No. 7, 30.04.2010, p. 2360-2369.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Domain growth in cholesteric blue phases

T2 - Computers and Mathematics with Applications

AU - Henrich, O.

AU - Marenduzzo, D.

AU - Stratford, K.

AU - Cates, M. E.

PY - 2010/4/30

Y1 - 2010/4/30

N2 - Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier-Stokes equation to a finite difference method to solve the dynamical equations governing the evolution of the liquid crystalline order parameter. We apply this method to study the growth of cholesteric blue phase domains, within a cholesteric phase. We focus on the growth of blue phase II and on a thin slab geometry in which the domain wall is flat. Our results show that, depending on the chirality, the growing blue phase is either BPII with no or few defects, or another structure with hexagonal ordering. We hope that our simulations will spur further experimental investigations on quenches in micron-size blue phase samples. The computational size that our hybrid lattice Boltzmann scheme can handle suggest that large scale simulations of new generation of blue phase liquid crystal device are within reach.

AB - Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier-Stokes equation to a finite difference method to solve the dynamical equations governing the evolution of the liquid crystalline order parameter. We apply this method to study the growth of cholesteric blue phase domains, within a cholesteric phase. We focus on the growth of blue phase II and on a thin slab geometry in which the domain wall is flat. Our results show that, depending on the chirality, the growing blue phase is either BPII with no or few defects, or another structure with hexagonal ordering. We hope that our simulations will spur further experimental investigations on quenches in micron-size blue phase samples. The computational size that our hybrid lattice Boltzmann scheme can handle suggest that large scale simulations of new generation of blue phase liquid crystal device are within reach.

KW - Lattice Boltzmann simulations

KW - liquid crystals

KW - cholesterics

KW - blue phases

UR - http://www.sciencedirect.com/science/journal/08981221?sdc=1

U2 - 10.1016/j.camwa.2009.08.047

DO - 10.1016/j.camwa.2009.08.047

M3 - Article

VL - 59

SP - 2360

EP - 2369

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 7

ER -