研究目的
To study numerically curvature and electric field driven domain formation and reorientations in two-dimensional nematic liquid crystals within square confinement.
研究成果
The study demonstrates that strong enough local curvature can trigger the formation of pairs {defect, antidefect}, enabling the formation of relatively large domains of essentially homogeneous nematic order. The presence of topological defects is shown to mediate significant domain-type reorientations under the influence of an external electric field.
研究不足
The study is limited to two-dimensional geometries and does not consider changes in the electric field spatial variation due to inhomogeneous nematic ordering. The simulations assume equal nematic elastic constants and strong tangential anchoring boundary conditions.
1：Experimental Design and Method Selection:
The study uses the Landau-de Gennes mesoscopic approach to describe nematic LC order with the nematic tensor order parameter. The free energy of the system is minimized with respect to variational parameters using the standard over-relaxation method.
2：Sample Selection and Data Sources:
The study considers nematic structures in confined geometries, specifically within a rectangular cell of characteristic linear size R, with strong tangential boundary conditions.
3：List of Experimental Equipment and Materials:
The study involves numerical simulations without specific experimental equipment.
4：Experimental Procedures and Operational Workflow:
The study involves stepwise increasing the amplitude of a sinusoidally shaped confining wall and applying an external electric field to observe the formation of topological defects and domain reorientations.
5：Data Analysis Methods:
The study analyzes the biaxiality parameter and the orientation of the nematic director field to identify topological defects and domain structures.
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