Analysis of nonlocal electrostatic effects in chiral smectic C liquid crystals

Jinhae Park, M. Carme Calderer

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We present modeling and analysis of smectic C phases of liquid crystals capable of sustaining spontaneous polarization. The layered liquid crystals are also assumed to be chiral. We study minimization of the total energy subject to electrostatic constraints. In order to determine mathematically and physically relevant boundary conditions, we appeal to the analogy between the current problem and the vorticity in fluids. We place a special emphasis on the nonlocal and self-energy effects arising from spontaneous polarization. We discuss examples pertaining to the electric field created by the liquid crystal in dielectric medium, and also to the possible role of a domain shape as an energy reduction mechanism.

Original languageEnglish (US)
Pages (from-to)2107-2126
Number of pages20
JournalSIAM Journal on Applied Mathematics
Volume66
Issue number6
DOIs
StatePublished - 2006

Keywords

  • Chiral
  • Electrostatic self-interaction
  • Energy minimizer
  • Ferroelectricity
  • Helical filaments
  • Liquid crystals
  • Nonlocal effects
  • Smectic C phase
  • Smectic layers
  • Vortex tubes

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