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The Kinematic Effects of the Defects in Liquid Crystal Dynamics

Part of: Foundations, constitutive equations, rheology Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  22 June 2016

Rui Chen ,
Weizhu Bao  and
Hui Zhang
Rui Chen*
Affiliation:
Institute of Applied Physics and Computational Mathematics, Beijing 100088, P.R. China
Weizhu Bao*
Affiliation:
Department of Mathematics, National University of Singapore, Singapore, 119076
Hui Zhang*
Affiliation:
School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P.R. China
*
*Corresponding author. Email addresses:ruichenbnu@gmail.com (R. Chen), bao@cz3.nus.edu.sg (W. Z. Bao), hzhang@bnu.edu.cn (H. Zhang)
*Corresponding author. Email addresses:ruichenbnu@gmail.com (R. Chen), bao@cz3.nus.edu.sg (W. Z. Bao), hzhang@bnu.edu.cn (H. Zhang)
*Corresponding author. Email addresses:ruichenbnu@gmail.com (R. Chen), bao@cz3.nus.edu.sg (W. Z. Bao), hzhang@bnu.edu.cn (H. Zhang)
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Abstract

Here we investigate the kinematic transports of the defects in the nematic liquid crystal system by numerical experiments. The model is a shear flow case of the viscoelastic continuummodel simplified fromthe Ericksen-Leslie system. The numerical experiments are carried out by using a difference method. Based on these numerical experiments we find some interesting and important relationships between the kinematic transports and the characteristics of the flow. We present the development and interaction of the defects. These results are partly consistent with the observation from the experiments. Thus this scheme illustrates, to some extent, the kinematic effects of the defects.

Keywords

Nematic liquid crystalskinematic effectsfinite difference methoddefects

MSC classification

Secondary: 65M70: Spectral, collocation and related methods 76A15: Liquid crystals
Type
Research Article
Information
Communications in Computational Physics , Volume 20 , Issue 1 , July 2016 , pp. 234 - 249
Copyright
Copyright © Global-Science Press 2016 

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