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

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.

Keywords: liquid crystals dislocation exact solution

Received: 22 July 2012
Revised: 11 November 2013
Accepted manuscript online:

PACS:	61.30.-v	(Liquid crystals)
	61.30.Dk	(Continuum models and theories of liquid crystal structure)
	61.30.Jf	(Defects in liquid crystals)

Corresponding Authors: Fan Tian-You
E-mail: tyfan2006@yahoo.com.cn

About author: 61.30.-v; 61.30.Dk; 61.30.Jf

Cite this article:

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 2014 Chin. Phys. B 23 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

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