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Generalized Berreman's model of the elastic surface free energy of a nematic liquid crystal on a sawtoothed substrate

Opened Access Generalized Berreman's model of the elastic surface free energy of a nematic liquid crystal on a sawtoothed substrate

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Autor: Rojas-Gómez, O.A.
Romero Enrique, José Manuel
Departamento: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Fecha: 2012
Publicado en: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86 (4), 041706-1/041706-10
Tipo de documento: Artículo
Resumen: In this paper we present a generalization of Berreman’s model for the elastic contribution to the surface free-energy density of a nematic liquid crystal in presence of a sawtooth substrate which favors homeotropic anchoring as a function of the wave number of the surface structure q, the tilt angle α, and the surface anchoring strength w. In addition to the previously reported nonanalytic contribution proportional to −q ln q, due to the nucleation of disclination lines at the wedge bottoms and apexes of the substrate, the next-to-leading contribution is proportional to q for a given substrate roughness, in agreement with Berreman’s predictions.We characterize this term, finding that it has two contributions: the deviations of the nematic director field with respect to a reference field corresponding to the isolated disclination lines and their associated core free energies. Comparison with the results obtained from the Landau-de Gennes model shows that our model is quite accu...
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Cita: Rojas-Gómez, O.A. y Romero Enrique, J.M. (2012). Generalized Berreman's model of the elastic surface free energy of a nematic liquid crystal on a sawtoothed substrate. Physical Review E - Statistical, 86 (4), 041706-1-041706-10.
Tamaño: 994.3Kb
Formato: PDF

URI: http://hdl.handle.net/11441/39437

DOI: http://dx.doi.org/10.1103/PhysRevE.86.041706

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