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

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  • Kayacan, Ozhan

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.

Suggested Citation

  • Kayacan, Ozhan, 2006. "Investigation of the phase transition at the nematic liquid crystal–wall interface with P4-interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 509-516.
  • Handle: RePEc:eee:phsmap:v:369:y:2006:i:2:p:509-516
    DOI: 10.1016/j.physa.2006.01.083
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