关键词: 液晶/
受限体系/
Onsager模型/
自洽场
English Abstract
Recent theoretical development in confined liquid-crystal polymers
Liang Qin1,Jeff Z. Y. Chen2
1.Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China;
2.Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
Fund Project:Project supported by theYoung Scientists Fund of the National Natural Science Foundation of China (Grant No. 11301444), theSpecialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134301120001). and theNatural Science and Engineering Council of Canada.Received Date:03 June 2016
Accepted Date:07 July 2016
Published Online:05 September 2016
Abstract:Liquid-crystal polymers in confined system is a fundamental issue in soft matter. Theoretical method plays animportant role in studying these systems. The intention of this work is to give a thorough reviewof 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 McMillanmodel, the Landau-de Gennes expansion, the Frank elastic model and the self-consistent field model for liquid-crystal polymers, are given. All these theories havetheir 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. Results arrived from different At the end of this review, we give a list of frontier issues and an outlook for thecoming ten years.
Keywords: liquid crystal/
confined system/
Onsager model/
self-consistent model
