Investigation of the phase transition at the nematic liquid crystal-wall interface within nonextensivity
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In this study, the nematic-isotropic phase transition is investigated for a sample in the shape of a slab of thickness d, using nonextensive formalism. The interaction potential is written as the sum of the direct interaction of a given nernatic molecule with the substrate and of its incomplete interaction with the other nematic molecules due to the presence of the limiting surface. In this framework, we show the effects of the nonextensivity on the nematic-isotropic transition at the nematie-wall interface. The generalized model can shed light on the properties of nernatic liquid crystal confined in small-scale structures. (c) 2007 Elsevier B.V. All rights reserved.