Non-orientable line defects in the Landau-de Gennes theory of nematic liquid crystals

26 November 2015
Giacomo Canevari
Nematic liquid crystals are composed by rod-shaped molecules with long-range orientation order. These materials admit topological defect lines, some of which are associated with non-orientable configurations. In this talk, we consider the Landau-de Gennes variational theory of nematics. We study the asymptotic behaviour of minimizers as the elastic constant tends to zero. We assume that the energy of minimizers is of the same order as the logarithm of the elastic constant. This happens, for instance, if the boundary datum has finitely many singular points. We prove convergence to a locally harmonic map with singularities of dimension one (non-orientable line defects) and, possibly, zero (point defects).
  • PDE CDT Lunchtime Seminar