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

页码：917 / 938

页数：22

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