The stress field and energy of screw dislocation in smectic A liquid crystals and the mistakes of the classical solution  

作　　者：范天佑 李显方 

机构地区：[1]School of Physics, Beijing Institute of Technology [2]Department of Engineering Mechanics, Central South University

出　　处：《Chinese Physics B》2014年第4期422-426,共5页中国物理B（英文版）

摘　　要：The mistakes in the classical solution of a screw dislocation in smectic A liquid crystals are pointed out. A serious problem with the well-known theory is pointed, which may be named de Gennes-Kleman-Pershan paradox and has existed for many decades in the scientific community of liquid crystal study. The correct solution is given in this paper by a simplest, elementary, and straight forward method. In connection with this, the stress field and energy of dislocation are discussed in detail. The present article provides the correct stress field and dislocation energy as well.The mistakes in the classical solution of a screw dislocation in smectic A liquid crystals are pointed out. A serious problem with the well-known theory is pointed, which may be named de Gennes-Kleman-Pershan paradox and has existed for many decades in the scientific community of liquid crystal study. The correct solution is given in this paper by a simplest, elementary, and straight forward method. In connection with this, the stress field and energy of dislocation are discussed in detail. The present article provides the correct stress field and dislocation energy as well.

关 键 词：liquid crystals DISLOCATION exact solution 

分 类 号：O415.5[理学—理论物理]