液晶模型中一些高阶张量的计算
Calculation of Some Higher-Order Tensors in Liquid Crystal Models
DOI: 10.12677/PM.2023.1311324, PDF,   
作者: 周陆纤：贵州大学数学与统计学院，贵州 贵阳
关键词: 向列相液晶；平移扩散；高阶张量；Nematic Liquid Crystal； Translational Diffusion； High-Order Tensors
摘要: 本文针对具有 C2v对称性的液晶分子形成的向列相，基于液晶的 Onsager 分子理论，通过对自由能求变分，建立了多张量模型。多张量模型中含有较多的高阶张量，需对其进行封闭近似，得到由对称迹零张量表示的多张量模型，可用于描述不同液晶相之间的相变。
Abstract: In this paper, for the nematic phase formed by liquid crystal molecules with C2v symmetry, a multi-tensor model is established based on Onsager molecular theory of liquid crystals, and by variational of free energy. The multi-tensor model contains more high-order tensors, which need to be closed approximation, and a multi-tensor model represented by symmetric traceless tensors is obtained, which can be used to describe the phase transition between different liquid crystal phases.
文章引用：周陆纤. 液晶模型中一些高阶张量的计算[J]. 理论数学, 2023, 13(11): 3126-3138. https://doi.org/10.12677/PM.2023.1311324

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