A variational model for chiral liquid crystals – Marcello Ponsiglione (Universita’ di Roma La Sapienza)

Abstract

I will introduce a discrete variational model for chiral liquid crystals. The order parameter in this model is an angle measuring the orientation of the chiral molecules. The corresponding energy is a slight variant of the XY energy, which also accounts for the chirality transitions. The main goal is to deduce, in the limit as the lattice spacing tends to zero, a continuous model describing topological defects and discontinuity set of the order parameter. This is a joint work with M. Cicalese, L. De Luca and R. Badal

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