VORTICES IN TWO-DIMENSIONAL NEMATICS

被引：0
|
作者：
Fatkullin, Ibrahim [1 ]
Slastikov, Valeriy [2 ]
机构：
[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
[2] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2009年 / 7卷 / 04期
基金：
美国国家科学基金会;
关键词：
Liquid crystals; nematics; spatial patterns; vortices; LIQUID-CRYSTALS; SMOLUCHOWSKI EQUATION; POLYMERS; PATTERNS; FIELDS; PHASE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a two-dimensional model describing spatial variations of orientational ordering in nematic liquid crystals. In particular, we show that the spatially extended Onsager-Maier-Saupe free energy may be decomposed into Landau-de Gennes-type and relative entropy-type contributions. We then prove that in the high concentration limit the states of the system display characteristic vortex-like patterns and derive an asymptotic expansion for the free energy of the system.
引用
收藏
页码：917 / 938
页数：22
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