Layer undulations in a smectic C liquid crystal with weak anchoring

A J. Walker, I.W. Stewart

Research output: Contribution to journalArticle

Abstract

The free energy for a sample of smectic C liquid crystal bounded between
two semi-infinite plates with weak surface anchoring on the boundaries is
considered. A magnetic field is applied across the sample and the ensuing
layer undulations are studied. The free energy is minimized to give relations
involving the elastic energies, magnetic field strength and wave numbers which
govern the layer undulations. Forms for the critical field strength and critical
wave numbers are derived and compared to analogous results in a system with
strong surface anchoring. An expression for the layer undulation amplitude
is derived for weak anchoring which can be compared with the classical
Helfrich–Hurault theory for strong anchoring and recent experimental results
for cholesteric liquid crystals.
Original languageEnglish
Pages (from-to)11849-11861
Number of pages13
JournalJournal of Physics A: Mathematical and Theoretical
Volume40
DOIs
Publication statusPublished - 2007
Externally publishedYes

Fingerprint

Liquid Crystal
Liquid crystals
Free energy
Free Energy
field strength
Magnetic Field
free energy
liquid crystals
Magnetic fields
Cholesteric liquid crystals
magnetic fields
Energy
energy
Form

Cite this

@article{68ea43ec959342d781ec66670d4e6559,
title = "Layer undulations in a smectic C liquid crystal with weak anchoring",
abstract = "The free energy for a sample of smectic C liquid crystal bounded betweentwo semi-infinite plates with weak surface anchoring on the boundaries isconsidered. A magnetic field is applied across the sample and the ensuinglayer undulations are studied. The free energy is minimized to give relationsinvolving the elastic energies, magnetic field strength and wave numbers whichgovern the layer undulations. Forms for the critical field strength and criticalwave numbers are derived and compared to analogous results in a system withstrong surface anchoring. An expression for the layer undulation amplitudeis derived for weak anchoring which can be compared with the classicalHelfrich–Hurault theory for strong anchoring and recent experimental resultsfor cholesteric liquid crystals.",
author = "Walker, {A J.} and I.W. Stewart",
year = "2007",
doi = "10.1088/1751-8113/40/39/010",
language = "English",
volume = "40",
pages = "11849--11861",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing",

}

Layer undulations in a smectic C liquid crystal with weak anchoring. / Walker, A J.; Stewart, I.W.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 40, 2007, p. 11849-11861.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Layer undulations in a smectic C liquid crystal with weak anchoring

AU - Walker, A J.

AU - Stewart, I.W.

PY - 2007

Y1 - 2007

N2 - The free energy for a sample of smectic C liquid crystal bounded betweentwo semi-infinite plates with weak surface anchoring on the boundaries isconsidered. A magnetic field is applied across the sample and the ensuinglayer undulations are studied. The free energy is minimized to give relationsinvolving the elastic energies, magnetic field strength and wave numbers whichgovern the layer undulations. Forms for the critical field strength and criticalwave numbers are derived and compared to analogous results in a system withstrong surface anchoring. An expression for the layer undulation amplitudeis derived for weak anchoring which can be compared with the classicalHelfrich–Hurault theory for strong anchoring and recent experimental resultsfor cholesteric liquid crystals.

AB - The free energy for a sample of smectic C liquid crystal bounded betweentwo semi-infinite plates with weak surface anchoring on the boundaries isconsidered. A magnetic field is applied across the sample and the ensuinglayer undulations are studied. The free energy is minimized to give relationsinvolving the elastic energies, magnetic field strength and wave numbers whichgovern the layer undulations. Forms for the critical field strength and criticalwave numbers are derived and compared to analogous results in a system withstrong surface anchoring. An expression for the layer undulation amplitudeis derived for weak anchoring which can be compared with the classicalHelfrich–Hurault theory for strong anchoring and recent experimental resultsfor cholesteric liquid crystals.

U2 - 10.1088/1751-8113/40/39/010

DO - 10.1088/1751-8113/40/39/010

M3 - Article

VL - 40

SP - 11849

EP - 11861

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

ER -