A variational model for chiral liquid crystals

Marcello Ponsiglione (Dip. Mat. Univ. Roma La Sapienza'')

created by gelli on 01 Nov 2016
modified by ponsiglio on 02 Nov 2016

16 nov 2016 -- 18:00   [open in google calendar]

Sala Seminari Dipartimento di matematica di Pisa

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 R. Badal, M. Cicalese and L. De Luca.

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