Homepage of the
Defect Free Q-Tensor Approximation CodeFrom this web site you can download a Matlab code that implements the Defect Free Q-Tensor Approximation to find the alignment of a single-elastic constant nematic liquid crystal in a planar cell.
This slides give you an outline of the method.
A complete description of the algorithm is available in
K.R. Daly, G. D'Alessandro and M. Kaczmarekthat you can download from here.
An efficient Q-tensor based algorithm for liquid crystal alignment away from defects
SIAM Journal on Applied Mathematics 70(8), 2844-2860 (2010)
DOI: 10.1137/100796467
From the link below you can download a Matlab code that implements the DFQTA. The code is self-contained and will produce Figure 4 of this paper. You are welcome to use this code, but please include a reference to the paper above in any work where you use results produced by it.
References
Author: Keith Daly ( krd103@soton.ac.uk) Dates:
29 June 2010 (Version 1.0) Source: Q3D_PD_ver01.zip Installation: Download Q3D_PD_ver01.zip and unzip it. It creates a directory with all the Matlab M-files required to produce Figure 4 of [1]. Usage: Run the Matlab M-file Q_3D.m to produce Figure 4 of [1]. Description: The file Q_3D.m is the master file: it sets up the problem and integrates the equations for the liquid crystal alignment until convergence is reached. It finishes by producing a stick plot of the liquid crystal director field (Figure 4 of [1]).
The file comp.m contains a Matlab function that computes the time derivative of the director field equations.
The other M-files, cheb.m, Comp2Tens.m and Tens2Eig.m are service routines.
[1] K.R. Daly, G. D'Alessandro and M. Kaczmarek
An efficient Q-tensor based algorithm for liquid crystal alignment away from defects
SIAM J. App. Math. 70(8), 2844-2860 (2010)
DOI: 10.1137/100796467
Page maintained by G. D'Alessandro. Last updated June 21, 2016.