JMP  Vol.5 No.18 , December 2014
Dynamics of a ±1/2 Defect Pair in a Confined Geometry
Author(s) Lixia Lu1,2,3, Zhidong Zhang3*
ABSTRACT
This paper investigated the dynamics of a dipole of ±1/2 parallel wedge disclination lines in a confined geometry, based on Landau-de Gennes theory. The behavior of the pair depends on the competition between two kinds of forces: the attractive force between the two defects, aggravating the annihilation process, and the anchoring forces coming from the substrates, inhibiting the annihilation process. There are three states when the system is equilibrium, divided by two critical thicknesses dc1 and dc2 (existing when r015ξ, r0 is the initial distance between the two defects), both changing linearly with r0. When the cell gap ddc1, the two defects coalesce and annihilate. The dynamics follows the function of r(t0-t)α during the annihilation step when d is sufficiently large, relative to r0, where r is the relative distance between the pair and t0 is the coalescence time. α decreases with the decrease of d or the increase of r0. The annihilation process has delicate structures: when r015ξ and ddc2 or r015ξand ddc1, the two defects annihilate and the system is uniaxial at equilibrium state; when r015ξ and dc2ddc1, the two defects coalesce and annihilate, and the system is not uniaxial, but biaxial in the region where the defects collide. When ddc1, the defects can be stable existence.

Cite this paper
Lu, L. , Zhang, Z. (2014) Dynamics of a ±1/2 Defect Pair in a Confined Geometry. Journal of Modern Physics, 5, 2080-2088. doi: 10.4236/jmp.2014.518204.
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