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Nematic Liquid Crystals: From Maier-Saupe to a Continuum Theory

Abstract:

We define a continuum energy functional that effectively interpolates between the mean-field Maier-Saupe energy and the continuum Landau-de Gennes energy functional and can describe both spatially homogeneous and inhomogeneous systems. In the mean-field approach the main macroscopic variable, the Q-tensor order parameter, is defined in terms of the second moment of a probability distribution function. This definition imposes certain constraints on the eigenvalues of the Q-tensor order paramet...

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Publication status:
Published

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Publisher copy:
10.1080/15421401003795555

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Majumdar, A More by this author
Volume:
525
Issue:
1
Pages:
1-11
Publication date:
2010
DOI:
EISSN:
1563-5287
ISSN:
1542-1406
URN:
uuid:c70d5bc2-a21f-4672-ae0b-d73493f331cb
Source identifiers:
124443
Local pid:
pubs:124443

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