Theory and simulation of cholesteric blue phases

Effect of the elastic constants on the stability of blue phases and the response of a blue phase cell to an electric field

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present our recent theoretical and numerical studies concerning the properties of cholesteric blue phases (BPs). One is on the effect of the variation of the Frank elastic constants on the stability of BPs. Our study is based on a classical and well-known theory of Meiboom et al. that gave a rough estimate of the temperature range of stable BPs in the case of equal elastic constants. We extend it to take into account the difference of the elastic constants. We show that the stability of BPs is greatly enhanced when the bend elastic constant K33 is smaller, which agrees well with recent experiments. We also show that larger splay (K11) and twist (K 22) elastic constants are also favorable for the stability of BPs. The other subject of the present paper is the response of BPs in a parallel cell to an applied electric field. We carry out numerical calculations for the investigation the dynamics of orientational order and associated disclination lines. Our calculations are based on a Landau-de Gennes theory describing the orientational order of the liquid crystal by a second-rank tensor. Our preliminary calculations demonstrate that a non-uniform electric field induced by comb-like electrodes gives rise to non-trivial dynamics of disclination lines.

Original languageEnglish
Title of host publicationLiquid Crystals XVI
DOIs
Publication statusPublished - Dec 1 2012
Externally publishedYes
EventLiquid Crystals XVI - San Diego, CA, United States
Duration: Aug 12 2012Aug 15 2012

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume8475
ISSN (Print)0277-786X

Other

OtherLiquid Crystals XVI
CountryUnited States
CitySan Diego, CA
Period8/12/128/15/12

Fingerprint

Elastic Constants
Elastic constants
Electric Field
elastic properties
Electric fields
electric fields
Cell
cells
Simulation
simulation
Liquid Crystals
Tensor Rank
Line
Liquid crystals
Tensors
Twist
Liquid Crystal
Numerical Calculation
Rough
Electrode

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Theory and simulation of cholesteric blue phases : Effect of the elastic constants on the stability of blue phases and the response of a blue phase cell to an electric field. / Fukuda, Junichi.

Liquid Crystals XVI. 2012. 84750T (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 8475).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Fukuda, J 2012, Theory and simulation of cholesteric blue phases: Effect of the elastic constants on the stability of blue phases and the response of a blue phase cell to an electric field. in Liquid Crystals XVI., 84750T, Proceedings of SPIE - The International Society for Optical Engineering, vol. 8475, Liquid Crystals XVI, San Diego, CA, United States, 8/12/12. https://doi.org/10.1117/12.929315
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