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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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

Miroshnychenko, Dmitri and Hill, N.A. and Mottram, N.J. and Lydon, J.E. (2005) Evolution from A +2 Defect to +1/2 Defects in a Cylindrical Geometry. Molecular Crystals and Liquid Crystals, 437. pp. 1495-1512.

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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.