| 近晶C相液晶中向错线对自由能的影响 |
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| 引用本文： | 吕健,宋纳红.近晶C相液晶中向错线对自由能的影响[J].河南师范大学学报(自然科学版),2011,39(4):50-52. |
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| 作者姓名： | 吕健 宋纳红 |
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| 作者单位： | 1. 华北水利水电学院数学与信息科学学院,郑州,450011
2. 河南财经政法大学计算机与信息工程学院,郑州,450002 |
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| 基金项目： | 国家自然科学基金(10947162); 河南省重点科技攻关项目(072102340009); 河南省教育厅自然科学基础研究计划项目(2009A110011) |
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| 摘 要： | 利用φ映射方法计算了近晶相液晶中向错线对自由能的影响.得出向错线自身的自由能是以kπ为单位拓扑量子化的,从而弥补了挖掉奇异区域来估算向错线自由能的不足.研究结果表明,向错强度相同的两条向错线由于排斥最终将达到一个平衡状态,向错强度相反的两条向错线由于吸引可能彼此湮灭.
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| 关 键 词： | C指向矢 向错线 自由能 |
Effect of Disclination Lines on Free Energy of Scmetic C Liquid Crystals |
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| LV Jian,SONG Na-hong.Effect of Disclination Lines on Free Energy of Scmetic C Liquid Crystals[J].Journal of Henan Normal University(Natural Science),2011,39(4):50-52. |
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| Authors: | LV Jian SONG Na-hong |
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| Institution: | LV Jian1,SONG Na-hong2 (1.College of Mathematics and Information Sciences,North China University of Water Resources and Electric Power,Zhengzhou 450011,China,2.College of Computer and Information Engineering,Henan University of Economics and Law,Zhengzhou 450002,China) |
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| Abstract: | In the light of -mapping method,the effect of disclination lines on the free energy of smectic C liquid crystals is studied.It is pointed that the free energy of disclinations themselves is topologically quantized in the unit of kπ,which makes up shortcoming of the estimation of the free energy by digging a disclination core region.It is shown that two disclinations,if their disclination strengths are the same,will be a equilibrium state at last because of their repulsion,or they will annihilate each other because of the gravitation. |
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| Keywords: | C director disclination line free energy |
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