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The breathers in nematic liquid crystals under applied electric field

Yan Li

http://orcid.org/0000-0002-8711-8129

Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

Department of Physics Science and Technology, Heilongjiang University, Harbin 150080, China

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Xiaobo Lu

Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

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, and

Chunfeng Hou

Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

E-mail Address: houchunfeng@hit.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217984919503196Cited by:1 (Source: Crossref)

Abstract

In this paper, we study the twist of the nematic liquid crystal molecules under the applied electric field. The dynamic equation of the twisted molecules is derived. It is proved to be a kind of sine-Gordon (SG) equation. We obtain the breather solution of the equation and confirm that the deflection angles of the twisted molecules can distribute in the form of breathers. We give the relationship between the molecular deflection angle and the breather frequency, and discuss the effect of electric field on breather shape and breather frequency.

Keywords:

PACS: 42.70.Df, 05.45.Yv

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