Evolution from A +2 Defect to +1/2 Defects in a Cylindrical Geometry

Dmitri Miroshnychenko, N.A. Hill, N.J. Mottram, J.E. Lydon

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this work the dynamics of liquid crystal ordering in a cylindrical geometry are considered. We study a system with liquid crystalline properties that exhibits translational symmetry along the cylinder axis and, therefore, the problem is effectively two-dimensional. The orientation of liquid crystals is described by a tensorial order parameter and the dynamics are governed by a balance between the dissipation and the rate of change of free energy, which includes the elastic, thermotropic and surface energy terms. The evolution of the + 2 defect differentiating first into two + 1 disclinations and subsequently into four + 1/2 defects is analysed. Different boundary conditions, namely strong and weak or no anchoring, have been considered and the critical value for the anchoring strength, at which + 1/2 defects are very close to escaping through the boundary but still remain there at equilibrium, has been identified.
Original languageEnglish
Pages (from-to)1495-1512
Number of pages17
JournalMolecular Crystals and Liquid Crystals
Volume437
DOIs
Publication statusPublished - 2005

Keywords

  • anchoring
  • dislocation dynamics
  • dissipation
  • free energy
  • ordering
  • structures

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