The Sine-Gordon solitons in nematic liquid crystals under the external electric field

The Sine-Gordon solitons in nematic liquid crystals under the external electric field

In this paper, we study the dynamic equation of molecular motion in nematic liquid crystals when there exists the twisting disturbance of the molecular arrangement under the external electric field. After a series of derivation, we find that the evolution equation satisfies the form of Sine-Gordon e...

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Main Authors: Yan Li, Xiaobo Lu, Chunfeng Hou
Format: Article
Language:English
Published: Elsevier 2018-09-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718304480
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spelling doaj-040b23ed9e634d49b244169dd65250ec2020-11-25T01:43:12ZengElsevierResults in Physics2211-37972018-09-0110297300The Sine-Gordon solitons in nematic liquid crystals under the external electric fieldYan Li0Xiaobo Lu1Chunfeng Hou2Department of Physics, Harbin Institute of Technology, Harbin 150001, China; Department of Physics Science and Technology, Heilongjiang University, Harbin 150080, ChinaDepartment of Physics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Physics, Harbin Institute of Technology, Harbin 150001, China; Corresponding author.In this paper, we study the dynamic equation of molecular motion in nematic liquid crystals when there exists the twisting disturbance of the molecular arrangement under the external electric field. After a series of derivation, we find that the evolution equation satisfies the form of Sine-Gordon equation which indicates that the molecular twisting deformation may propagate in the form of solitary waves under external electric field, and the kink and anti-kink Sine-Gordon solitary solutions are given then. The existence of a couple of kink and anti-kink Sine-Gordon solitons in nematic liquid crystals is proved. And we also discuss the influence of the velocity of the traveling wave on the solitary propagation. Keywords: Nematic liquid crystals, Sine-Gordon equation, Kink and anti-kink Sine-Gordon solitonshttp://www.sciencedirect.com/science/article/pii/S2211379718304480
collection DOAJ
language English
format Article
sources DOAJ
author Yan Li
Xiaobo Lu
Chunfeng Hou
spellingShingle Yan Li
Xiaobo Lu
Chunfeng Hou
The Sine-Gordon solitons in nematic liquid crystals under the external electric field
Results in Physics
author_facet Yan Li
Xiaobo Lu
Chunfeng Hou
author_sort Yan Li
title The Sine-Gordon solitons in nematic liquid crystals under the external electric field
title_short The Sine-Gordon solitons in nematic liquid crystals under the external electric field
title_full The Sine-Gordon solitons in nematic liquid crystals under the external electric field
title_fullStr The Sine-Gordon solitons in nematic liquid crystals under the external electric field
title_full_unstemmed The Sine-Gordon solitons in nematic liquid crystals under the external electric field
title_sort sine-gordon solitons in nematic liquid crystals under the external electric field
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-09-01
description In this paper, we study the dynamic equation of molecular motion in nematic liquid crystals when there exists the twisting disturbance of the molecular arrangement under the external electric field. After a series of derivation, we find that the evolution equation satisfies the form of Sine-Gordon equation which indicates that the molecular twisting deformation may propagate in the form of solitary waves under external electric field, and the kink and anti-kink Sine-Gordon solitary solutions are given then. The existence of a couple of kink and anti-kink Sine-Gordon solitons in nematic liquid crystals is proved. And we also discuss the influence of the velocity of the traveling wave on the solitary propagation. Keywords: Nematic liquid crystals, Sine-Gordon equation, Kink and anti-kink Sine-Gordon solitons
url http://www.sciencedirect.com/science/article/pii/S2211379718304480
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AT xiaobolu thesinegordonsolitonsinnematicliquidcrystalsundertheexternalelectricfield
AT chunfenghou thesinegordonsolitonsinnematicliquidcrystalsundertheexternalelectricfield
AT yanli sinegordonsolitonsinnematicliquidcrystalsundertheexternalelectricfield
AT xiaobolu sinegordonsolitonsinnematicliquidcrystalsundertheexternalelectricfield
AT chunfenghou sinegordonsolitonsinnematicliquidcrystalsundertheexternalelectricfield
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