scholarly journals Nematic shells: new insights in topology- and curvature-induced effects

Soft Matter ◽  
2021 ◽  
Author(s):  
Gaetano Napoli ◽  
Oleksandr V. Pylypovskyi ◽  
Denis D Sheka ◽  
Luigi Vergori

Within the framework of continuum theory, we draw a parallel between ferromagnetic materials and nematic liquid crystals confined on curved surfaces, which are both characterized by local interaction and anchoring...

2004 ◽  
Vol 119 (1-3) ◽  
pp. 51-59 ◽  
Author(s):  
A.M Sonnet ◽  
P.L Maffettone ◽  
E.G Virga

2003 ◽  
Vol 49 ◽  
pp. 315-333 ◽  
Author(s):  
R.J. Atkin ◽  
T.J. Sluckin

Frank Leslie was a distinguished applied mathematician, who was above all foremost in creating the modern continuum theory of nematic liquid crystals in the late 1960s. This theory is now known as the Ericksen-Leslie theory, and the crucial elements in it as Leslie coefficients. After developing the hydrodynamic theory of nematic liquid crystals, he went on to perform a similar task in the 1990s for smectic liquid crystals. He also actively collaborated with experimentalists and engineers involved in liquid crystal applications, and his work has been extremely influential in the development of liquid crystal display (LCD) device technology.


2010 ◽  
Vol 35 (10) ◽  
pp. 1692 ◽  
Author(s):  
Yana V. Izdebskaya ◽  
Vladlen G. Shvedov ◽  
Anton S. Desyatnikov ◽  
Wieslaw Krolikowski ◽  
Yuri S. Kivshar

This paper presents a concise formulation of continuum theory for nematic liquid crystals, both static and dynamic theory being discussed in turn. The emphasis is on the various assumptions behind the theory, and the experimental evidence supporting them. The resulting theory contains a fair number of material parameters, and progress concerning their measurement is assessed. Also, whenever possible, mention is made of problems that remain unresolved.


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