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Volume 20, Issue 5
On the Dynamics of the Weak Fréedericksz Transition for Nematic Liquid Crystals

Peder Aursand, Gaetano Napoli & Johanna Ridder

DOI: 10.4208/cicp.190615.090516a

Commun. Comput. Phys., 20 (2016), pp. 1359-1380.

Published online: 2018-04

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  • Abstract

We propose an implicit finite-difference method to study the time evolution of the director field of a nematic liquid crystal under the influence of an electric field with weak anchoring at the boundary. The scheme allows us to study the dynamics of transitions between different director equilibrium states under varying electric field and anchoring strength. In particular, we are able to simulate the transition to excited states of odd parity, which have previously been observed in experiments, but so far only analyzed in the static case.

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@Article{CiCP-20-1359, author = {}, title = {On the Dynamics of the Weak Fréedericksz Transition for Nematic Liquid Crystals}, journal = {Communications in Computational Physics}, year = {2018}, volume = {20}, number = {5}, pages = {1359--1380}, abstract = {

We propose an implicit finite-difference method to study the time evolution of the director field of a nematic liquid crystal under the influence of an electric field with weak anchoring at the boundary. The scheme allows us to study the dynamics of transitions between different director equilibrium states under varying electric field and anchoring strength. In particular, we are able to simulate the transition to excited states of odd parity, which have previously been observed in experiments, but so far only analyzed in the static case.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.190615.090516a}, url = {http://global-sci.org/intro/article_detail/cicp/11193.html} }
TY - JOUR T1 - On the Dynamics of the Weak Fréedericksz Transition for Nematic Liquid Crystals JO - Communications in Computational Physics VL - 5 SP - 1359 EP - 1380 PY - 2018 DA - 2018/04 SN - 20 DO - http://doi.org/10.4208/cicp.190615.090516a UR - https://global-sci.org/intro/article_detail/cicp/11193.html KW - AB -

We propose an implicit finite-difference method to study the time evolution of the director field of a nematic liquid crystal under the influence of an electric field with weak anchoring at the boundary. The scheme allows us to study the dynamics of transitions between different director equilibrium states under varying electric field and anchoring strength. In particular, we are able to simulate the transition to excited states of odd parity, which have previously been observed in experiments, but so far only analyzed in the static case.

Peder Aursand, Gaetano Napoli & Johanna Ridder. (2020). On the Dynamics of the Weak Fréedericksz Transition for Nematic Liquid Crystals. Communications in Computational Physics. 20 (5). 1359-1380. doi:10.4208/cicp.190615.090516a
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