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Title: Multiscale approach to nematic liquid crystals via statistical field theory
Authors: Lu, Bing-Sui
Keywords: Statistical Field Theory
Continuum Approximation
Issue Date: 2017
Source: Lu, B.-S. (2017). Multiscale approach to nematic liquid crystals via statistical field theory. Physical Review E, 96(2), 022709-.
Series/Report no.: Physical Review E
Abstract: We propose an approach to a multiscale problem in the theory of thermotropic uniaxial nematics based on the method of statistical field theory. This approach enables us to relate the coefficients A, B, C, L1, and L2 of the Landau-de Gennes free energy for the isotropic-nematic phase transition to the parameters of a molecular model of uniaxial nematics, which we take to be a lattice gas model of nematogenic molecules interacting via a short-ranged potential. We obtain general constraints on the temperature and volume fraction of nematogens for the Landau-de Gennes theory to be stable against molecular orientation fluctuations at quartic order. In particular, for the case of a fully occupied lattice, we compute the values of the isotropic-nematic transition temperature and the order parameter discontinuity predicted by (i) a continuum approximation of the nearest-neighbor Lebwohl-Lasher model and (ii) a Lebwohl-Lasher-type model with a nematogenic interaction of finite range. We find that the predictions of (i) are in reasonably good agreement with known results of Monte Carlo simulation.
ISSN: 2470-0045
DOI: 10.1103/PhysRevE.96.022709
Schools: School of Physical and Mathematical Sciences 
Rights: © 2017 American Physical Society (APS). This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of American Physical Society (APS). The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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