[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 …
play a fundamental role in the design and fabrication of electro-optical devices. Depending …
Electric field-induced fast nematic order dynamics
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 …
calamitic phase, and the resultant nematic texture can be identified by the Landau–de …
Surface and bulk contributions to nematic order reconstruction
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 …
exhibit textural distortions involving nematic order variations, described by the Landau-de …
Efficient Moving Mesh Methods for -Tensor Models of Nematic Liquid Crystals
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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
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 …
equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an …