Vortices in two-dimensional nematics

I Fatkullin; V Slastikov

Vortices in two-dimensional nematics

I Fatkullin
, V Slastikov

Research output: Contribution to journal › Article (Academic Journal) › peer-review

11 Citations (Scopus)

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 asymptotic expansion for the free energy of the system.

Translated title of the contribution	Vortices in two-dimensional nematics
Original language	English
Pages (from-to)	917 - 938
Number of pages	22
Journal	Communications in Mathematical Sciences
Volume	7, issue 4
Publication status	Published - Dec 2009

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title = "Vortices in two-dimensional nematics",

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 asymptotic expansion for the free energy of the system.",

author = "I Fatkullin and V Slastikov",

year = "2009",

month = dec,

language = "English",

volume = "7, issue 4",

pages = "917 -- 938",

journal = "Communications in Mathematical Sciences",

issn = "1945-0796",

publisher = "International Press, Inc.",

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TY - JOUR

T1 - Vortices in two-dimensional nematics

AU - Fatkullin, I

AU - Slastikov, V

PY - 2009/12

Y1 - 2009/12

N2 - 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 asymptotic expansion for the free energy of the system.

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 asymptotic expansion for the free energy of the system.

M3 - Article (Academic Journal)

SN - 1945-0796

VL - 7, issue 4

SP - 917

EP - 938

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

ER -

Vortices in two-dimensional nematics

Abstract

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