Phase behavior of the Confined Lebwohl-Lasher Model
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.
Keywords
Cite
@article{arxiv.1007.2128,
title = {Phase behavior of the Confined Lebwohl-Lasher Model},
author = {N. G. Almarza and C. Martín and E. Lomba},
journal= {arXiv preprint arXiv:1007.2128},
year = {2015}
}
Comments
Submitted to Physical Review E