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Abstract
We numerically study structural transitions inside shallow submicrometre scale wells with square cross section, filled with nematic liquid crystal material. We model the wells within the Landau–de Gennes theory. We obtain two qualitatively different states: (i) the diagonal state with defects for relatively large wells with lateral dimension greater than a critical threshold and (ii) a new, twodimensional starlike biaxial order reconstruction pattern called the well orderreconstruction structure (WORS), for wells smaller than the critical threshold. The WORS is defined by an uniaxial cross connecting the four vertices of the square cross section. We numerically compute the critical threshold in terms of the bare biaxial correlation length and study its dependence on the temperature and on the anchoring strength on the lateral well surfaces.
Original language  English 

Article number  20140276 
Pages (fromto)  1  18 
Number of pages  18 
Journal  Proceedings of the Royal Society of London Series A  Mathematical Physical and Engineering Sciences 
Volume  470 
Issue number  2169 
Early online date  25 Jun 2014 
DOIs  
Publication status  Published  Sep 2014 
Keywords
 applied mathematics, mathematical modelling, nanotechnology
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 1 Finished

Fellowship  The Mathematics of Liquid Crystals: Analysis, Computation and Applications
Majumdar, A.
Engineering and Physical Sciences Research Council
1/08/12 → 30/09/16
Project: Research council