[HTML][HTML] Moving Mesh Partial Differential Equation Modelling of a 5CB Nematic Liquid Crystal Confined in Symmetric and Asymmetric Pi-Cells: A Review

A Amoddeo - Symmetry, 2024 - mdpi.com
The switching properties of nematic liquid crystals under electrical and mechanical stresses
play a fundamental role in the design and fabrication of electro-optical devices. Depending …

Electric field-induced fast nematic order dynamics

A Amoddeo, R Barberi, G Lombardo - Liquid Crystals, 2011 - Taylor & Francis
A strong electric field is able to induce transient and/or local biaxial states within a nematic
calamitic phase, and the resultant nematic texture can be identified by the Landau–de …

Surface and bulk contributions to nematic order reconstruction

A Amoddeo, R Barberi, G Lombardo - … E—Statistical, Nonlinear, and Soft Matter …, 2012 - APS
Nematic molecules confined in an asymmetric π cell and subjected to strong electric fields
exhibit textural distortions involving nematic order variations, described by the Landau-de …

Efficient Moving Mesh Methods for -Tensor Models of Nematic Liquid Crystals

CS MacDonald, JA Mackenzie, A Ramage… - SIAM Journal on …, 2015 - SIAM
This paper describes a robust and efficient numerical scheme for solving the system of six
coupled partial differential equations which arises when using Q-tensor theory to model the …

[HTML][HTML] Moving mesh partial differential equations to describe nematic order dynamics

A Amoddeo, R Barberi, G Lombardo - Computers & Mathematics with …, 2010 - Elsevier
Nematic liquid crystals are aggregates of calamitic molecules and most related experimental
phenomena are described well by their mean molecular orientation, ie by the director, and …

[HTML][HTML] A moving mesh method for modelling defects in nematic liquid crystals

CS MacDonald, JA Mackenzie, A Ramage - Journal of Computational …, 2020 - Elsevier
The properties of liquid crystals can be modelled using an order parameter which describes
the variability of the local orientation of rod-like molecules. Defects in the director field can …

Nematic order and phase transition dynamics under intense electric fields

A Amoddeo, R Barberi, G Lombardo - Liquid Crystals, 2013 - Taylor & Francis
Electrically induced order variations, occurring in the microseconds timescale, in nematic
liquid crystals are framed within the Landau-de Gennes Q-tensor theory. We provide a …

Phase Diagram and Order Reconstruction Modeling for Nematics in Asymmetric π-Cells

A Amoddeo, R Barberi - Symmetry, 2021 - mdpi.com
Intense electric fields applied to an asymmetric π-cell containing a nematic liquid crystal
subjected to strong mechanical stresses induce distortions that are relaxed through a fast …

[HTML][HTML] Robust adaptive computation of a one-dimensional Q-tensor model of nematic liquid crystals

CS MacDonald, JA Mackenzie, A Ramage… - … & Mathematics with …, 2012 - Elsevier
This paper illustrates the use of an adaptive finite element method to solve a non-linear
singularly perturbed boundary value problem which arises from a one-dimensional Q-tensor …

Adaptive grid methods for q-tensor theory of liquid crystals: A one-dimensional feasibility study

A Ramage, CJP Newton - Molecular Crystals and Liquid Crystals, 2008 - Taylor & Francis
This article illustrates the use of moving mesh methods for solving partial differential
equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an …