Investigation of the phase transition at the nematic liquid crystal–wall interface with P4-interaction

Ozhan Kayacan

Physica A: Statistical Mechanics and its Applications, 2006, vol. 369, issue 2, 509-516

Abstract: The nematic–isotropic phase transition is investigated for a sample in the shape of a slab of thickness d, using a self-consistent model. The interacting potential is given by a sum of the direct interaction of a given nematic molecule with the substrate and of one with the other nematic molecules due to the presence of the limiting surface. The variation of second- and fourth-rank long-range order parameters with temperature is investigated. To describe the behaviour of second- and fourth-rank order parameters at the surfaces and its profile inside the sample, a model based on the Maier–Saupe model including P4 interaction is used. In conclusion, we show the existence of a boundary layer in which the second- and fourth-rank order parameters can be greater or smaller than the one in the bulk.

Keywords: Liquid crystals; Surface order; Phase transition (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:369:y:2006:i:2:p:509-516

DOI: 10.1016/j.physa.2006.01.083

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