Phase behavior of the Confined Lebwohl-Lasher Model

Details Phase behavior of the Confined Lebwohl-Lasher Model Phase behavior of the Confined Lebwohl-Lasher Model

2010-07-13

arxiv.org/abs/1007.2128v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to Physical Review E

Scientific paper

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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