Pattern-induced anchoring transitions in nematic liquid crystals

@article{RojasGmez2017PatterninducedAT,
  title={Pattern-induced anchoring transitions in nematic liquid crystals},
  author={{\'O}scar A. Rojas-G{\'o}mez and Jos{\'e} M. Romero-Enrique and Nuno Miguel Silvestre and Margarida M. Telo da Gama},
  journal={Journal of Physics: Condensed Matter},
  year={2017},
  volume={29}
}
In this paper we revisit the problem of a nematic liquid crystal in contact with patterned substrates. The substrate is modelled as a periodic array of parallel infinite grooves of well-defined cross-section sculpted on a chemically homogeneous substrate which favours local homeotropic anchoring of the nematic. We consider three cases: a sawtooth, a crenellated and a sinusoidal substrate. We analyse this problem within the modified Frank–Oseen formalism. We argue that, for substrate… 
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