PT - JOURNAL ARTICLE
AU - Kralj, Samo
AU - Majumdar, Apala
TI - Order reconstruction patterns in nematic liquid crystal wells
DP - 2014 Sep 08
TA - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
VI - 470
IP - 2169
4099 - http://rspa.royalsocietypublishing.org/content/470/2169/20140276.short
4100 - http://rspa.royalsocietypublishing.org/content/470/2169/20140276.full
AB - We numerically study structural transitions inside shallow sub-micrometre scale wells with square cross section, filled with nematic liquid crystal material. We model the wells within the Landauâ€“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, two-dimensional star-like biaxial order reconstruction pattern called the well order-reconstruction 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.