uniaxial liquid crystal
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2013 ◽  
Vol 25 (1) ◽  
pp. 133-153 ◽  
Author(s):  
BLANCA CLIMENT-EZQUERRA ◽  
FRANCISCO GUILLÉN-GONZÁLEZ

We review the mathematical analysis of some uniaxial, liquid crystal phases. Firstly, we state the models for the two different studied phases: nematic and smectic-A liquid crystals. The spatial and temporal profiles of the liquid crystal configurations will be described by means of strongly nonlinear parabolic partial differential systems, which are presented at the same time. Then we will state some results about existence, regularity, time-periodicity and stability of solutions at infinite time for both models. It is our aim to show that, although nematic and smectic-A phases have different physical properties and are modelled by different nonlinear parabolic problems, there exists a common mathematical machinery to rewrite the models and obtain analytical results.


2012 ◽  
Vol 560 (1) ◽  
pp. 82-92 ◽  
Author(s):  
Lieven Penninck ◽  
Patrick De Visschere ◽  
Jeroen Beeckman ◽  
Kristiaan Neyts

2001 ◽  
Vol 40 (13) ◽  
pp. 2089 ◽  
Author(s):  
Brett L. Van Horn ◽  
H. Henning Winter

2000 ◽  
Vol 61 (1) ◽  
pp. 511-518
Author(s):  
Hyunbum Jang ◽  
Malcolm J. Grimson

1999 ◽  
Vol 54 (5) ◽  
pp. 299-304 ◽  
Author(s):  
Hanka Moryson ◽  
Danuta Bauman ◽  
Wojciech Hilczer ◽  
Stanislaw Hoffmann

Abstract The electron paramagnetic resonance spectra of 3/ß-doxyl-5α-cholestane dissolved in five liquid crystals have been recorded as a function of temperature in the isotropic and mesogenic phases. From these spectra the order parameter (P2) has been determined. The results have been com-pared with the data obtained from the optical birefringence measurements and from the polarized absorption spectra of the dichroic dye dissolved in liquid crystal host.


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