Vortices in two-dimensional nematics

Ibrahim Fatkullin; Valeriy Slastikov

doi:10.4310/CMS.2009.v7.n4.a6

Vortices in two-dimensional nematics

Ibrahim Fatkullin, Valeriy Slastikov

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	917-938
Number of pages	22
Journal	Communications in Mathematical Sciences
Volume	7
Issue number	4
DOIs	https://doi.org/10.4310/CMS.2009.v7.n4.a6
State	Published - Dec 2009

Keywords

Liquid crystals
Nematics
Spatial patterns
Vortices

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4310/CMS.2009.v7.n4.a6

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AU - Slastikov, Valeriy

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AB - 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.

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KW - Nematics

KW - Spatial patterns

KW - Vortices

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Vortices in two-dimensional nematics

Abstract

Keywords

ASJC Scopus subject areas

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