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Phase behavior of the confined Lebwohl-Lasher model

AuthorsAlmarza, Noé G. ; Martín, C. ; Lomba, Enrique
KeywordsLebowhl-Lasher model
lattice model
liquid crystal
confined systems
Issue Date28-Jul-2010
PublisherAmerican Physical Society
CitationPhysical Review - Section E - Statistical Nonlinear and Soft Matter Physics
AbstractThe phase behavior of confined nematogens is studied using the Lebwohl-Lasher model. For three-dimensional systems the model is known to exhibit a discontinuous nematic-isotropic phase transition, whereas the corresponding two-dimensional systems apparently show a continuous Berezinskii-Kosterlitz-Thouless-like transition. In this paper, we study the phase transitions of the Lebwohl-Lasher model when confined between planar slits of different widths in order to establish the behavior of intermediate situations between the pure planar model and the three-dimensional system, and compare with previous estimates for the critical thickness, i.e., the slit width at which the transition switches from continuous to discontinuous. © 2010 The American Physical Society
Publisher version (URL)http://link.aps.org/doi/10.1103/PhysRevE.82.011140
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