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Volume 18, Issue 1
The Role of Inertia and Dissipation in the Dynamics of the Director for a Nematic Liquid Crystal Coupled with an Electric Field

Peder Aursand & Johanna Ridder

DOI: 10.4208/cicp.220414.231214a

Commun. Comput. Phys., 18 (2015), pp. 147-166.

Published online: 2018-04

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  • Abstract

We consider the dynamics of the director in a nematic liquid crystal when under the influence of an applied electric field. Using an energy variational approach we derive a dynamic model for the director including both dissipative and inertial forces.
A numerical scheme for the model is proposed by extending a scheme for a related variational wave equation. Numerical experiments are performed studying the realignment of the director field when applying a voltage difference over the liquid crystal cell. In particular, we study how the relative strength of dissipative versus inertial forces influence the time scales of the transition between the initial configuration and the electrostatic equilibrium state.

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@Article{CiCP-18-147, author = {Peder Aursand and Johanna Ridder}, title = {The Role of Inertia and Dissipation in the Dynamics of the Director for a Nematic Liquid Crystal Coupled with an Electric Field}, journal = {Communications in Computational Physics}, year = {2018}, volume = {18}, number = {1}, pages = {147--166}, abstract = {

We consider the dynamics of the director in a nematic liquid crystal when under the influence of an applied electric field. Using an energy variational approach we derive a dynamic model for the director including both dissipative and inertial forces.
A numerical scheme for the model is proposed by extending a scheme for a related variational wave equation. Numerical experiments are performed studying the realignment of the director field when applying a voltage difference over the liquid crystal cell. In particular, we study how the relative strength of dissipative versus inertial forces influence the time scales of the transition between the initial configuration and the electrostatic equilibrium state.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.220414.231214a}, url = {http://global-sci.org/intro/article_detail/cicp/11022.html} }
TY - JOUR T1 - The Role of Inertia and Dissipation in the Dynamics of the Director for a Nematic Liquid Crystal Coupled with an Electric Field AU - Peder Aursand & Johanna Ridder JO - Communications in Computational Physics VL - 1 SP - 147 EP - 166 PY - 2018 DA - 2018/04 SN - 18 DO - http://doi.org/10.4208/cicp.220414.231214a UR - https://global-sci.org/intro/article_detail/cicp/11022.html KW - AB -

We consider the dynamics of the director in a nematic liquid crystal when under the influence of an applied electric field. Using an energy variational approach we derive a dynamic model for the director including both dissipative and inertial forces.
A numerical scheme for the model is proposed by extending a scheme for a related variational wave equation. Numerical experiments are performed studying the realignment of the director field when applying a voltage difference over the liquid crystal cell. In particular, we study how the relative strength of dissipative versus inertial forces influence the time scales of the transition between the initial configuration and the electrostatic equilibrium state.

Peder Aursand and Johanna Ridder. (2018). The Role of Inertia and Dissipation in the Dynamics of the Director for a Nematic Liquid Crystal Coupled with an Electric Field. Communications in Computational Physics. 18 (1). 147-166. doi:10.4208/cicp.220414.231214a
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