| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Influence of Flexoelectric Effect on Director Alignment of Nematic Liquid Crystals in Axial Arrangement Cylindrical Cells |
| Hong-Hong Liu1, Yan-Jun Zhang1,2**, Huai-Rui Yue1, Li-Zhi Zhu3, Rui-Xia Yang2 |
1Department of Physics, Hebei University of Technology, Tianjin 300401
2School of Electronic and Information Engineering, Hebei University of Technology, Tianjin 300401
3Department of Wood Science and Technology, Tianjin University of Science and Technology, Tianjin 300222
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| Cite this article: |
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Hong-Hong Liu, Yan-Jun Zhang, Huai-Rui Yue et al 2018 Chin. Phys. Lett. 35 026103 |
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Abstract A positive nematic liquid crystal (5CB) sample is confined in cylindrical cells under strong or weak axial anchoring boundary conditions when a radial nonuniform low-frequency electric field is applied and the flexoelectric effect is taken into account. Based on the Frank elastic free energy, the surface energy of the Rapini–Papoular approximation, the polarization free energy and the flexoelectric free energy caused by electric field, we obtain the free energy density of the nematic and solve the corresponding Euler–Lagrange equation numerically. We investigate the director distribution, the critical voltage and the critical exponent of nematic liquid crystal in cylindrical cells. It follows that the critical exponent is the classical one. It is also shown that the critical voltage in the system is affected by the flexoelectric effect, the geometric effect and radial weak anchoring effect on the cylindrical surfaces. A new type of director transition caused by the flexoelectric effect, the dielectric coupling effect and the radial weak anchoring effect is found.
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Received: 19 October 2017
Published: 23 January 2018
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| PACS: |
61.30.Dk
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(Continuum models and theories of liquid crystal structure)
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61.30.Hn
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(Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions)
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61.30.Gd
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(Orientational order of liquid crystals; electric and magnetic field effects on order)
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