Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell

doi:10.1088/1674-1056/24/2/026102

Abstract Confined geometry can change the defect structure and its properties. In this paper, we investigate numerically the dynamics of a dipole of ± 1/2 parallel wedge disclination lines in a confined geometry: a thin hybrid aligned nematic (HAN) cell, based on the Landau-de Gennes theory. When the cell gap d is larger than a critical value of 12ζ (where ζ is the characteristic length for order-parameter change), the pair annihilates. A pure HAN configuration without defect is formed in an equilibrium state. In the confined geometry of d ≤ 12ζ, the diffusion process is discovered for the first time and an eigenvalue exchange configuration is formed in an equilibrium state. The eigenvalue exchange configuration is induced by different essential reasons. When 10ζ <d ≤ 12ζ, the two defects coalesce and annihilate. The biaxial wall is created by the inhomogeneous distortion of the director, which results in the eigenvalue exchange configuration. When d ≤ 10ζ, the defects do not collide and the eigenvalue exchange configuration originates from the biaxial seeds concentrated at the defects.

Keywords: ± 1/2 defect pair dynamics eigenvalue exchange configuration confined geometry

Received: 25 June 2014
Revised: 11 September 2014
Accepted manuscript online:

PACS:	61.30.Jf	(Defects in liquid crystals)
	64.70.qj	(Dynamics and criticality)
	61.20.Ja	(Computer simulation of liquid structure)
	61.30.Hn	(Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11374087) and the Key Subject Construction Project of Hebei Province University.

Corresponding Authors: Zhang Zhi-Dong
E-mail: zhidong_zhang1961@163.com

Cite this article:

Lu Li-Xia (路丽霞), Zhang Zhi-Dong (张志东) Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell 2015 Chin. Phys. B 24 026102

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Dynamics of a ± 1/2 defect pair in a confined geometry: A thin hybrid aligned nematic cell

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