| 向列相液晶硬棒模型的改进 |
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| 引用本文： | 徐茂杰,张志国,杨国琛.向列相液晶硬棒模型的改进[J].郑州大学学报(工学版),2001,22(2):65-68. |
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| 作者姓名： | 徐茂杰 张志国 杨国琛 |
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| 作者单位： | 河北工业大学文理学院, |
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| 摘 要： | 向列相液晶被广泛地应用于TN,STN等显示技术,向列相-各向同性相的转变温度TNI的研究具有重要的理论和应用意义.在L.Onsager硬棒理论的基础上,考虑分子之间的相互吸引势,从而给出改进的模型.利用“集团展开”方法,导出了系统的自由能;采用Zwanzig方法,得到序参量的自洽方程,系统的状态方程及所得转变温度TNI与L.Onsager硬棒理论相比更接近实验结果.
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| 关 键 词： | 硬棒模型 序参量 集团展开 排斥体积 自由能 |
| 文章编号： | 1007-6492(2001)02-0065-04 |
| 修稿时间： | 2001年1月11日 |
An Improved Hard Rod Model of Nematic Liquid Crystal |
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| XU Mao-jie,ZHANG Zhi-guo,YANG Guo-chen.An Improved Hard Rod Model of Nematic Liquid Crystal[J].Journal of Zhengzhou University: Eng Sci,2001,22(2):65-68. |
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| Authors: | XU Mao-jie ZHANG Zhi-guo YANG Guo-chen |
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| Abstract: | Nematic liquid crystals are widely used in display devices such as TN-LCD, STN-LCD. The study of transition temperature T NI between nematic and isotropic phase is of great significance in theoretical research and practical appliation. On the basis of L. Onsager hard rod model of nematic liquid crystal, we propose an improved model by adding intermolecular attactive force to hard rod model. The expression of free energy is deduced by the method of cluster expansion. Using Zwanzig theory, we obtain the self-consistentcy equation of order parameter and state equation. In calculation, our results agree well with the experimental result. |
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| Keywords: | hard rod model order parameter cluster expansion repulsive volume free energy |
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