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

doi:10.1088/1674-1056/23/4/046102

中国物理B ›› 2014, Vol. 23 ›› Issue (4): 46102-046102.doi: 10.1088/1674-1056/23/4/046102

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

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

范天佑^a, 李显方^b

a School of Physics, Beijing Institute of Technology, Beijing 100081, China;
b Department of Engineering Mechanics, Central South University, Changsha 410075, China

收稿日期:2012-07-22 修回日期:2013-11-11 出版日期:2014-04-15 发布日期:2014-04-15

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

Fan Tian-You (范天佑)^a, Li Xian-Fang (李显方)^b

a School of Physics, Beijing Institute of Technology, Beijing 100081, China;
b Department of Engineering Mechanics, Central South University, Changsha 410075, China

Received:2012-07-22 Revised:2013-11-11 Online:2014-04-15 Published:2014-04-15
Contact: Fan Tian-You E-mail:tyfan2006@yahoo.com.cn
About author:61.30.-v; 61.30.Dk; 61.30.Jf

摘要/Abstract

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.

关键词: liquid crystals, dislocation, exact solution

Abstract: 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.

Key words: liquid crystals, dislocation, exact solution

中图分类号: (Liquid crystals)

61.30.-v

61.30.Dk (Continuum models and theories of liquid crystal structure) 61.30.Jf (Defects in liquid crystals)

范天佑, 李显方. The stress field and energy of screw dislocation in smectic A liquid crystals and the mistakes of the classical solution[J]. 中国物理B, 2014, 23(4): 46102-046102.

Fan Tian-You (范天佑), Li Xian-Fang (李显方). The stress field and energy of screw dislocation in smectic A liquid crystals and the mistakes of the classical solution[J]. Chin. Phys. B, 2014, 23(4): 46102-046102.

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

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

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