Comments on free elastic energy for uniaxial nematic liquid crystals

This paper concerns free elastic energy that is functional for static deformations of a nematic liquid crystal. The free elastic energy density is analysed as a non-negative quadratic form of the first-order derivatives of the director. The resulting conditions imply a system of inequalities to be h...

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Bibliographic Details
Published in:Liquid crystals 2009-05, Vol.36 (5), p.549-556
Main Authors: Kojdecki, Marek Andrzej, Kędzierski, Jerzy, Raszewski, Zbigniew
Format: Article
Language:English
Subjects:
Anisotropy
Chemical compounds
Crystals
Frank's elastic constant
free elastic energy for nematic liquid crystals
Mathematical models
Molecular structure
nematic liquid crystals
nematics elastic moduli
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Summary:This paper concerns free elastic energy that is functional for static deformations of a nematic liquid crystal. The free elastic energy density is analysed as a non-negative quadratic form of the first-order derivatives of the director. The resulting conditions imply a system of inequalities to be held by Frank's elastic moduli, which update Ericksen's inequalities. The rejection of surface-like free elastic energy terms from bulk free elastic energy is suggested on the basis of both known and some new arguments.
ISSN:0267-8292
1366-5855
DOI:10.1080/02678290903045650