| Molecular field theory for nematic liquid crystal film with finite layers |
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| 引用本文： | 张志东,李静,魏怀鹏. Molecular field theory for nematic liquid crystal film with finite layers[J]. 中国物理, 2005, 14(2): 393-397 |
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| 作者姓名： | 张志东 李静 魏怀鹏 |
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| 作者单位： | School of Sciences, Hebei University of Technology, Tianjin 300130, China;School of Sciences, Hebei University of Technology, Tianjin 300130, China;School of Sciences, Hebei University of Technology, Tianjin 300130, China |
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| 基金项目： | Project supported by the Natural Science Foundation of Hebei Province, China (Grant No 103002), and the Key Subject Construction Project of Hebei Provincial University. |
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| 摘 要： | The nematic liquid crystal film composed of n molecular layers is studied based upon a spatially anisotropic pair potential, which reproduces approximately the elastic free energy density. On condition that the system has perfect nematic order, as in the Lebwohl—Lasher model, the director in the film is isotropic. The effect of the temperature is investigated by means of molecular field theory. Some new results are obtained. Firstly, symmetry breaking takes place when taking account of the temperature, and the state with the director along the normal of the film has the lowest free energy. Secondly, the N—I phase transition temperature increases as an effect of finite sizes instead of decreasing as in the Lebwohl—Lasher model. Thirdly, the nematic order is induced in the layers near the surface in the isotropic phase.
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| 关 键 词： | 分子场论 空间各向异性势能 完全向列 温度效应 |
| 收稿时间： | 2004-05-28 |
Molecular field theory for nematic liquid crystal film with finite layers |
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| Zhang Zhi-Dong,Li Jing and Wei Huai-Peng. Molecular field theory for nematic liquid crystal film with finite layers[J]. Chinese Physics, 2005, 14(2): 393-397 |
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| Authors: | Zhang Zhi-Dong Li Jing Wei Huai-Peng |
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| Affiliation: | School of Sciences, Hebei University of Technology, Tianjin 300130, China |
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| Abstract: | The nematic liquid crystal film composed of n molecular layers is studied based upon a spatially anisotropic pair potential, which reproduces approximately the elastic free energy density. On condition that the system has perfect nematic order, as in the Lebwohl—Lasher model, the director in the film is isotropic. The effect of the temperature is investigated by means of molecular field theory. Some new results are obtained. Firstly, symmetry breaking takes place when taking account of the temperature, and the state with the director along the normal of the film has the lowest free energy. Secondly, the N—I phase transition temperature increases as an effect of finite sizes instead of decreasing as in the Lebwohl—Lasher model. Thirdly, the nematic order is induced in the layers near the surface in the isotropic phase. |
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| Keywords: | spatially anisotropic pair potential perfect nematic order effect of temperature molecular field theory |
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