Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
نویسندگان
چکیده
منابع مشابه
Equilibrium order parameters of nematic liquid crystals in the Landau-De Gennes theory
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-D...
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We study nematic liquid crystal configurations in confined geometries within the continuum Landau–De Gennes theory. These nematic configurations are mathematically described by symmetric, traceless two-tensor fields, known as Q-tensor order parameter fields. We obtain explicit upper bounds for the order parameters of equilibrium liquid crystal configurations in terms of the temperature, materia...
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ژورنال
عنوان ژورنال: European Journal of Applied Mathematics
سال: 2010
ISSN: 0956-7925,1469-4425
DOI: 10.1017/s0956792509990210