Effect of anchoring energy and elastic anisotropy on spherical inclusions in a nematic liquid crystal

Richard James, Junichi Fukuda

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This paper explores how pairs of spherical particles with homeotropic (normal) surface anchoring cluster when immersed in nematic liquid crystal. By means of the Landau-de Gennes continuum theory we calculate how the equilibrium separation of a particle pair depends on the anchoring energy at the particle surface and the elastic anisotropy of the liquid crystal. We find that, for modest to strong anchoring strengths, the particle separation depends linearly on the elastic anisotropy and the inverse of the anchoring strength. Thus, the anchoring strength can be estimated by measuring the particle-pair separation.

Original languageEnglish
Article number010501
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number1
DOIs
Publication statusPublished - Jul 8 2013
Externally publishedYes

Fingerprint

elastic anisotropy
Nematic Liquid Crystal
Anisotropy
Inclusion
liquid crystals
inclusions
anisotropy
Energy
energy
Normal Surface
Liquid Crystal
Continuum
Linearly
continuums
Calculate

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

@article{9147bd0545dc417c8d150e2de49bb5d8,
title = "Effect of anchoring energy and elastic anisotropy on spherical inclusions in a nematic liquid crystal",
abstract = "This paper explores how pairs of spherical particles with homeotropic (normal) surface anchoring cluster when immersed in nematic liquid crystal. By means of the Landau-de Gennes continuum theory we calculate how the equilibrium separation of a particle pair depends on the anchoring energy at the particle surface and the elastic anisotropy of the liquid crystal. We find that, for modest to strong anchoring strengths, the particle separation depends linearly on the elastic anisotropy and the inverse of the anchoring strength. Thus, the anchoring strength can be estimated by measuring the particle-pair separation.",
author = "Richard James and Junichi Fukuda",
year = "2013",
month = "7",
day = "8",
doi = "10.1103/PhysRevE.88.010501",
language = "English",
volume = "88",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Effect of anchoring energy and elastic anisotropy on spherical inclusions in a nematic liquid crystal

AU - James, Richard

AU - Fukuda, Junichi

PY - 2013/7/8

Y1 - 2013/7/8

N2 - This paper explores how pairs of spherical particles with homeotropic (normal) surface anchoring cluster when immersed in nematic liquid crystal. By means of the Landau-de Gennes continuum theory we calculate how the equilibrium separation of a particle pair depends on the anchoring energy at the particle surface and the elastic anisotropy of the liquid crystal. We find that, for modest to strong anchoring strengths, the particle separation depends linearly on the elastic anisotropy and the inverse of the anchoring strength. Thus, the anchoring strength can be estimated by measuring the particle-pair separation.

AB - This paper explores how pairs of spherical particles with homeotropic (normal) surface anchoring cluster when immersed in nematic liquid crystal. By means of the Landau-de Gennes continuum theory we calculate how the equilibrium separation of a particle pair depends on the anchoring energy at the particle surface and the elastic anisotropy of the liquid crystal. We find that, for modest to strong anchoring strengths, the particle separation depends linearly on the elastic anisotropy and the inverse of the anchoring strength. Thus, the anchoring strength can be estimated by measuring the particle-pair separation.

UR - http://www.scopus.com/inward/record.url?scp=84880616261&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880616261&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.88.010501

DO - 10.1103/PhysRevE.88.010501

M3 - Article

VL - 88

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 010501

ER -