Mathematical developments in the study of smectic a liquid crystals

M. Carme Calderer, Chun Liu

Research output: Contribution to journalConference article

7 Citations (Scopus)

Abstract

We consider free energy functionals to model equilibrium smectic A liquid crystal configurations in the neighborhood of the nematic phase transition. We first look at the functional proposed by de Gennes based on the Ginzburg-Landau model for superconductivity, and consider its covariant formulations. We construct the focal conic solution and study its stability. We also study the role of chirality in the model of smectic A*. In the final part of the paper, we use an argument of symmetry breaking to model smectic phases as periodic solutions of an extend nematic theory.

Original languageEnglish (US)
Pages (from-to)1113-1128
Number of pages16
JournalInternational Journal of Engineering Science
Volume38
Issue number9
DOIs
StatePublished - Jun 1 2000
EventThe Eringen Symposium Dedicated to Pierre-Gilles De Gennes - 36th Annual Technical Meeting of the Society of Engineeing Science - Pullman, WA, USA
Duration: Sep 27 1998Sep 30 1998

Fingerprint

Liquid Crystals
Liquid crystals
Chirality
Superconductivity
Free energy
Phase transitions

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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Mathematical developments in the study of smectic a liquid crystals. / Calderer, M. Carme; Liu, Chun.

In: International Journal of Engineering Science, Vol. 38, No. 9, 01.06.2000, p. 1113-1128.

Research output: Contribution to journalConference article

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AB - We consider free energy functionals to model equilibrium smectic A liquid crystal configurations in the neighborhood of the nematic phase transition. We first look at the functional proposed by de Gennes based on the Ginzburg-Landau model for superconductivity, and consider its covariant formulations. We construct the focal conic solution and study its stability. We also study the role of chirality in the model of smectic A*. In the final part of the paper, we use an argument of symmetry breaking to model smectic phases as periodic solutions of an extend nematic theory.

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