Majumdar, Apala
(2009)
Equilibrium order parameters of nematic liquid
crystals in the LandauDe Gennes theory.
Not specified
.
(Submitted)

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Abstract
We study equilibrium liquid crystal configurations in threedimensional domains, within the continuum LandauDe Gennes theory. We obtain explicit bounds for the equilibrium scalar order parameters in terms of the temperature and materialdependent constants. We explicitly quantify the temperature regimes where the LandauDe Gennes predictions match and the temperature regimes where the LandauDe Gennes predictions don’t match the probabilistic secondmoment definition of the Qtensor order parameter. The regime of agreement may be interpreted as the regime of validity of the LandauDe Gennes theory since the LandauDe Gennes theory predicts large values of the equilibrium scalar order parameters  larger than unity, in the lowtemperature regime. We discuss a modified LandauDe Gennes energy functional which yields physically realistic values of the equilibrium scalar order parameters in all temperature regimes.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  812 
Deposited By:  Dr M. Stoll 
Deposited On:  24 Sep 2009 12:32 
Last Modified:  29 May 2015 18:30 
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