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Chiral symmetry breaking in confined nematics

Presented by: 
V Vitelli Universiteit Leiden
Date: 
Wednesday 26th June 2013 - 09:00 to 09:45
Venue: 
Center for Mathematical Sciences
Abstract: 
We analyze the complex nematic textures and defect structures that result from the competition between topological constraints and the elasticity of nematic liquid crystals confined in droplets with handles stabilized against surface-tension-driven instabilities using a yield-stress material as outer fluid. We uncover a surprisingly persistent twisted configuration of the nematic director inside the droplets when tangential anchoring is established at their boundaries, which we explain after considering the influence of saddle-splay on the elastic free energy. For toroidal droplets, we find that the saddle-splay energy screens the twisting energy resulting in a spontaneous breaking of mirror symmetry; the chiral twisted state persists for aspect ratios as large as ~20. For droplets with additional handles, two additional -1 surface defects per handle are generated in regions with local saddle geometry.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons