近晶C相液晶中向错线对自由能的影响  

Effect of Disclination Lines on Free Energy of Scmetic C Liquid Crystals

作　　者：吕健[1] 宋纳红[2] 

机构地区：[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

出　　处：《河南师范大学学报（自然科学版）》2011年第4期50-52,共3页Journal of Henan Normal University(Natural Science Edition)

基　　金：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)

摘　　要：利用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.In the light of φ-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 quantizecl 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.

关 键 词：C指向矢 向错线 自由能 

分 类 号：O469[理学—凝聚态物理]