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Open AccessArticle

Wetting of Nematic Liquid Crystals on Crenellated Substrates: A Frank–Oseen Approach

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Departamento de Física Atómica, Molecular y Nuclear, Área de Física Teórica, Facultad de Física, Universidad de Sevilla, Avenida de Reina Mercedes s/n, 41012 Sevilla, Spain
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Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal
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Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal
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Author to whom correspondence should be addressed.
Crystals 2019, 9(8), 430; https://doi.org/10.3390/cryst9080430
Received: 24 July 2019 / Revised: 5 August 2019 / Accepted: 10 August 2019 / Published: 19 August 2019
(This article belongs to the Special Issue Advances in Nematic Liquid Crystals)
We revisit the wetting of nematic liquid crystals in contact with crenellated substrates, studied previously using the Landau–de Gennes formalism. However, due to computational limitations, the characteristic length scales of the substrate relief considered in that study limited to less than 100 nematic correlation lengths. The current work uses an extended Frank–Oseen formalism, which includes not only the free-energy contribution due to the elastic deformations but also the surface tension contributions and, if disclinations or other orientational field singularities are present, their core contributions. Within this framework, which was successfully applied to the anchoring transitions of a nematic liquid crystal in contact with structured substrates, we extended the study to much larger length scales including the macroscopic scale. In particular, we analyzed the interfacial states and the transitions between them at the nematic–isotropic coexistence. View Full-Text
Keywords: nematic liquid crystals; Frank–Oseen elasticity; wetting nematic liquid crystals; Frank–Oseen elasticity; wetting
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MDPI and ACS Style

Rojas-Gómez, Ó.A.; Telo da Gama, M.M.; Romero-Enrique, J.M. Wetting of Nematic Liquid Crystals on Crenellated Substrates: A Frank–Oseen Approach. Crystals 2019, 9, 430.

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