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非均匀弯曲各向同性-向列型移动前沿的界面线虫动力学

Interfacial nematodynamics of heterogeneous curved isotropic-nematic moving fronts.

作者信息

Wincure Benjamin, Rey Alejandro D

机构信息

Department of Chemical Engineering and McGill Institute of Advanced Materials, McGill University, 3610 University Street, Montreal, Quebec H3A 2B2, Canada.

出版信息

J Chem Phys. 2006 Jun 28;124(24):244902. doi: 10.1063/1.2206768.

Abstract

The early stages of liquid crystal phase ordering upon thermal quenches of isotropic phases into unstable and metastable temperature ranges is studied using two-dimensional (2D) computational solutions of the governing Landau-de Gennes (L-dG) equations for low molar mass nematic liquid crystals and analysis based on the corresponding interfacial nematodynamic model. The early phase ordering stage, for both unstable and metastable quenches of the isotropic phase, is shown to lead to highly textured nematic spherulites through a mechanism of interfacial defect nucleation. The underlying mechanisms of interface-driven texturing are elucidated using complementary 2D computational parametric studies of the bulk L-dG equation and analysis of the IN model. It is shown that for highly curved nanodomains and realistic elastic anisotropy, sharp interfacial transitions between uniaxial and biaxial states arise and are resolved by interfacial defect nucleation, which upon subsequent migration into the spherulite's interior leads to strong texturing. This paper shows that texture formation in the early stages of phase ordering is interface driven, and due to low interface tension, elastic anisotropy, and large curvature. Interfacial defect shedding in highly curved, low tension, anisotropic interfaces is a significant defect nucleation mechanism that needs to be taken into account when considering texturing processes.

摘要

利用低摩尔质量向列型液晶的主导朗道-德热纳(L-dG)方程的二维(2D)计算解,并基于相应的界面线虫动力学模型进行分析,研究了各向同性相热猝灭到不稳定和亚稳温度范围时液晶相序的早期阶段。对于各向同性相的不稳定和亚稳猝灭,早期相序阶段均通过界面缺陷成核机制导致高度织构化的向列型球晶。利用体L-dG方程的互补二维计算参数研究和IN模型分析,阐明了界面驱动织构化的潜在机制。结果表明,对于高度弯曲的纳米域和实际的弹性各向异性,单轴和双轴状态之间会出现尖锐的界面转变,并通过界面缺陷成核得到解决,随后这些缺陷迁移到球晶内部会导致强烈的织构化。本文表明,相序早期阶段的织构形成是由界面驱动的,这是由于界面张力低、弹性各向异性和曲率大。在高度弯曲、低张力、各向异性界面中的界面缺陷脱落是一种重要的缺陷成核机制,在考虑织构化过程时需要加以考虑。

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