A fundamental improvement to Ericksen-Leslie kinematics
A fundamental improvement to Ericksen-Leslie kinematics
复制标题
Ericksen-Leslie 运动学的根本改进
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
K. Dayal
中科院分区：
文献类型：
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作者：
Hossein Pourmatin;A. Acharya;K. Dayal
我们证明了有限能量线缺陷的解决方案，在一个改进的埃里克森-莱斯利液晶理论的理论和计算。平面导演领域被认为是在两个和三个空间维度，我们演示了直以及循环向错的解决方案。静态平衡的可能性的力量在存在的向错，并在没有流量和体力进行了讨论。这项工作利用了一个隐式的概念之间的联系Weingarten-Volterra表征可能的跳跃在某些潜在的领域和斯托克斯-亥姆霍兹决议的矢量场。我们的工作的理论基础进行了比较和对比的沃尔泰拉向错弹性理论。物理推理排除了规范不变的结构模型。
We demonstrate theory and computations for finite-energy line defect solutions in an improvement of Ericksen-Leslie liquid crystal theory. Planar director fields are considered in two and three space dimensions, and we demonstrate straight as well as loop disclination solutions. The possibility of static balance of forces in the presence of a disclination and in the absence of flow and body forces is discussed. The work exploits an implicit conceptual connection between the Weingarten-Volterra characterization of possible jumps in certain potential fields and the Stokes-Helmholtz resolution of vector fields. The theoretical basis of our work is compared and contrasted with the theory of Volterra disclinations in elasticity. Physical reasoning precluding a gauge-invariant structure for the model is also presented.