The alignment of cylindrically layered smectic A liquid crystals with director tilt on the boundaries

A.J. Walker

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A novel method for constructing a nonlinear smectic layer function is outlined and employed to construct free energy density functions for two theoretical experiments involving cylindrically layered smectic A liquid crystals. Director tilt on the boundaries is imposed and it is assumed that the layer normal a and the director n are free to decouple. The free energy density functions are minimized to reveal coupled differential equations which describe a and n. Comments are made on cylindrical systems where splay energies are negligible. Solutions are given and the results discussed. (Abstract from: http://iopscience.iop.org/1751-8121/41/38/385205)
LanguageEnglish
JournalJournal of Physics A: Mathematical and Theoretical
Volume41
Issue number38
DOIs
Publication statusPublished - 26 Sep 2008

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Tilt
Energy Function
Energy Density
Density Function
Liquid Crystal
Liquid crystals
Probability density function
Free energy
Free Energy
Alignment
liquid crystals
alignment
flux density
free energy
Differential equations
Differential equation
differential equations
Energy
Experiment
Experiments

Keywords

  • alignment
  • cylindrically layered smectic
  • liquid crystals
  • director tilt
  • boundaries

Cite this

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The alignment of cylindrically layered smectic A liquid crystals with director tilt on the boundaries. / Walker, A.J.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 41, No. 38, 26.09.2008.

Research output: Contribution to journalArticle

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