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Reference: Apala Majumdar, (2009). Equilibrium order parameters of nematic liquid crystals in the Landau-De Gennes theory.Citable link to this page:

 

Equilibrium order parameters of nematic liquid crystals in the Landau-De Gennes theory

Abstract: We study equilibrium liquid crystal configurations in three-dimensional domains, within the continuum Landau-De Gennes theory. We obtain explicit bounds for the equilibrium scalar order parameters in terms of the temperature and material-dependent constants. We explicitly quantify the temperature regimes where the Landau-De Gennes predictions match and the temperature regimes where the Landau-De Gennes predictions don’t match the probabilistic second-moment definition of the Q-tensor order parameter. The regime of agreement may be interpreted as the regime of validity of the Landau-De Gennes theory since the Landau-De Gennes theory predicts large values of the equilibrium scalar order parameters - larger than unity, in the low-temperature regime. We discuss a modified Landau-De Gennes energy functional which yields physically realistic values of the equilibrium scalar order parameters in all temperature regimes.

Bibliographic Details

Issue Date: 2009Identifiers

Urn: uuid:76198787-2691-43de-b6b6-7d67e5e451f3 Item Description

Type: Article;

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Author: Apala Majumdar - - - - Bibliographic Details Issue Date: 2009 - Identifiers Urn: uuid:76198787-2691-43de-b6b6-7d67e5e451f3 - - -

Source: https://ora.ox.ac.uk/objects/uuid:76198787-2691-43de-b6b6-7d67e5e451f3



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