A NOTE ON THE ONSAGER MODEL OF NEMATIC PHASE TRANSITIONS ¤

I. Fatkullin; V. Slastikov

doi:10.4310/CMS.2005.v3.n1.a2

A NOTE ON THE ONSAGER MODEL OF NEMATIC PHASE TRANSITIONS ¤

I. Fatkullin, V. Slastikov

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

24 Scopus citations

Abstract

We study Onsager's free energy functional for nematic liquid crystals with an orientation parameter on a unit circle. For a class of interaction potentials we obtain explicit expressions for all critical points, analyze their stability, and construct the corresponding bifurcation diagram. We also derive asymptotic expansions of the equilibrium density of orientations near the critical and zero temperatures.

Original language	English (US)
Pages (from-to)	21-26
Number of pages	6
Journal	Communications in Mathematical Sciences
Volume	3
Issue number	1
DOIs	https://doi.org/10.4310/CMS.2005.v3.n1.a2
State	Published - 2005
Externally published	Yes

Keywords

Maier-saupe potential
Nematic phase transitions
Onsager model

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.4310/CMS.2005.v3.n1.a2

Cite this

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title = "A NOTE ON THE ONSAGER MODEL OF NEMATIC PHASE TRANSITIONS ¤",

abstract = "We study Onsager's free energy functional for nematic liquid crystals with an orientation parameter on a unit circle. For a class of interaction potentials we obtain explicit expressions for all critical points, analyze their stability, and construct the corresponding bifurcation diagram. We also derive asymptotic expansions of the equilibrium density of orientations near the critical and zero temperatures.",

keywords = "Maier-saupe potential, Nematic phase transitions, Onsager model",

author = "I. Fatkullin and V. Slastikov",

note = "Publisher Copyright: {\textcopyright} 2005 International Press",

year = "2005",

doi = "10.4310/CMS.2005.v3.n1.a2",

language = "English (US)",

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AU - Fatkullin, I.

AU - Slastikov, V.

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Y1 - 2005

N2 - We study Onsager's free energy functional for nematic liquid crystals with an orientation parameter on a unit circle. For a class of interaction potentials we obtain explicit expressions for all critical points, analyze their stability, and construct the corresponding bifurcation diagram. We also derive asymptotic expansions of the equilibrium density of orientations near the critical and zero temperatures.

AB - We study Onsager's free energy functional for nematic liquid crystals with an orientation parameter on a unit circle. For a class of interaction potentials we obtain explicit expressions for all critical points, analyze their stability, and construct the corresponding bifurcation diagram. We also derive asymptotic expansions of the equilibrium density of orientations near the critical and zero temperatures.

KW - Maier-saupe potential

KW - Nematic phase transitions

KW - Onsager model

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DO - 10.4310/CMS.2005.v3.n1.a2

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EP - 26

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

IS - 1

ER -

A NOTE ON THE ONSAGER MODEL OF NEMATIC PHASE TRANSITIONS ¤

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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