Dynamics of cylindrical domain walls in smectic C liquid crystals

I.W. Stewart, E.J. Wigham

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2 Citations (Scopus)

Abstract

An analysis of the dynamics of cylindrical domain walls in planar aligned samples of smectic C liquid crystals is presented. A circular magnetic field, induced by an electric current, drives a time-dependent reorientation of the corresponding radially dependent director field. Nonlinear approximations to the relevant nonlinear dynamic equation, derived from smectic continuum theory, are solved in a comoving coordinated frame: exact solutions are found for a π-wall and numerical solutions are calculated for -walls. Each calculation begins with an assumed initial state for the director that is a prescribed cylindrical domain wall. Such an initial wall will proceed to expand or contract as its central core propagates radially inwards or outwards, depending on the boundary conditions for the director, the elastic constants, the magnitude of the field and the sign of the magnetic anisotropy of the liquid crystal.
Original languageEnglish
Article number235501
Number of pages26
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number23
Early online date15 May 2009
DOIs
Publication statusPublished - 12 Jun 2009

Keywords

  • continuum models
  • liquid crystal structure
  • orientational order
  • electric field
  • magnetic field
  • magnetic anisotropy
  • mechanical properties of liquids
  • liquid crystals

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