拓扑缺陷的几何理论:方法论的发展和新趋势

IF 4.8 3区材料科学 Q2 CHEMISTRY, PHYSICAL

Liquid Crystals Reviews Pub Date : 2021-07-03 DOI:10.1080/21680396.2022.2163515

S. Fumeron, B. Berche, F. Moraes

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引用次数: 4

摘要

液晶通常支持指向场的取向奇点，即拓扑缺陷。后者改变了它们附近的输运性质，就好像几何是非欧几里得的一样。我们提出了一种最新的向列液晶的微分几何，特别强调线性缺陷。然后讨论了宇宙学和高能物理学之间意想不到的深刻联系，并总结了输运现象的缺陷工程。

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Geometric theory of topological defects: methodological developments and new trends

ABSTRACT Liquid crystals generally support orientational singularities of the director field known as topological defects. These latter modify transport properties in their vicinity as if the geometry was non-Euclidean. We present a state-of-the-art of differential geometry of nematic liquid crystals, with a special emphasis on linear defects. We then discuss unexpected but deep connections with cosmology and high-energy-physics and conclude with a review on defect engineering for transport phenomena.

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来源期刊

Liquid Crystals Reviews CHEMISTRY, PHYSICALCRYSTALLOGRAPHY&n-CRYSTALLOGRAPHY

CiteScore

7.60

自引率

5.90%

发文量

期刊介绍： Liquid Crystals Reviews publishes review articles on all aspects of liquid crystal fundamentals and applied science, including experimental and theoretical studies of physical and chemical properties, molecular design and synthesis and engineering of liquid crystal devices. The Journal fosters cross-disciplinary exchange of ideas, encouraging authors to present material at a level accessible to specialists from other fields of science and engineering. Liquid Crystals Reviews provides the scientific community, in both academia and industry, with a publication of standing, guaranteed by the Editors and by the International Editorial Board who are active scientists in the worldwide liquid crystal community.