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  • Title: Phase behavior of the confined Lebwohl-Lasher model.
    Author: Almarza NG, Martín C, Lomba E.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2010 Jul; 82(1 Pt 1):011140. PubMed ID: 20866598.
    Abstract:
    The 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.
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