期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 237, 期 20, 页码 2577-2586出版社
ELSEVIER
DOI: 10.1016/j.physd.2008.03.048
关键词
Liquid crystals; Nematics; Spatial patterns
资金
- Nuffield Foundation [NAL32562]
We present a theory of orientational order in nematic liquid crystals which interpolates between several distinct approaches based on the director field (Oseen and Frank), order parameter tensor (Landau and de Gennes), and orientation probability density function (Onsager). As in density-functional theories, the suggested free energy is a functional of spatially-dependent orientation distribution, however, the nonlocal effects are taken into account via phenomenological elastic terms rather than by means of a direct pair-correlation function. In illustration of this approach we consider a simplified model with orientation parameter on a circle and reveal its relation to the complex Ginzburg-Landau theory. (C) 2008 Elsevier B.V. All rights reserved.
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