物理学报2016，Vol.65Issue(17)：174201-0-174201-16,17.DOI:10.7498/aps.65.174201
受限液晶系统的理论新进展∗
Recent theoretical development in confined liquid-crystal p olymers
摘要
Abstract
Liquid-crystal polymers in confined system is a fundamental issue in soft matter. Theoretical method plays an-important role in studying these systems. The intention of this work is to give a thorough review of the theoretical methodologies used in tackling confined liquid crystals. At first, some basic concept of liquid crystal, such as a vital order parameter for orientation, phases of liquid crystal, the uniaxial and biaxial of liquid crystal, are presented. After that, a brief review of the development of liquid-crystal theories, which include the Onsager model, the Maier-Saupe model, the McMillan model, the Landau-de Gennes expansion, the Frank elastic model and the self-consistent field model for liquid-crystal polymers, are given. All these theories have their own advantages and disadvantages. For example, the phenomenological Frank elastic model is the most widely used model due to its simplicity. In contrast, parameters in the self-consistent field model are physically meaningful, however, it is rather complicated. During recent decades, with these theories and suitable boundary treatment, plenty confined liquid crystal systems are investigated. In this review, we focus on three kinds of confined systems: 1) the surface wetting behavior in slits; 2) the two-dimensional liquid crystals confined by a boundary line and 3) defects in the orientational field of rigid rods on spherical surface. At the end of this review, we give a list of frontier issues and an outlook for the coming ten years.关键词
液晶/受限体系/Onsager模型/自洽场Key words
liquid crystal/confined system/Onsager model/self-consistent model引用本文复制引用
梁琴,陈征宇..受限液晶系统的理论新进展∗[J].物理学报,2016,65(17):174201-0-174201-16,17.基金项目
国家自然科学基金青年科学基金(批准号:11301444)、高等学校博士学科点专项科研基金(批准号:20134301120001)和加拿大自然科学与工程委员会资助的课题 （批准号:11301444）
