Discontinuous Order Parameters in Liquid Crystal Theories
Discontinuous Order Parameters in Liquid Crystal Theories
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DOI：
10.1080/15421406.2015.1030571
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发表时间：
2015-05-03
影响因子：
0.7
通讯作者：
Bedford, S. J.
中科院分区：
文献类型：
--
作者：
Ball, J. M.;Bedford, S. J.
本文借鉴固体力学的经验，讨论了液晶模型中缺陷的数学描述的各种问题。强调了函数空间的适当选择和自由能密度的增长特性所起的作用。建立了指向矢可以跳过表面的模型，并讨论了它们与向列型弹性体、有序重构和近晶A薄膜的关系。
The paper is concerned with various issues surrounding the mathematical description of defects in models of liquid crystals, drawing on experience from solid mechanics. The roles played by a suitable choice of function space and by the growth properties of the free-energy density are highlighted. Models in which the director can jump across surfaces are formulated, and their relevance for nematic elastomers, order reconstruction and smectic A thin films discussed.