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Curvature potentials for defects on nematic shells

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The Mathematics of Liquid Crystals

Nematic shells are thin films of nematic liquid crystal deposited on rigid colloidal particles, which can be manufactured in different shapes and guises. The two-dimensional order tensor that describes the local organization of liquid crystal molecules, which tend to lie parallel to the colloids’ surface, vanishes whenever no orientation is prevailing on average. The points where this takes place are called defect, as they lack order. The lectuer will review recent work concerned with the interaction between defects and the underlying surface. In particular, arguments will be offered that identify appropiate geometric potentials, depending on the shell’s curvatures, which either promote or hamper defects, attract or repel them.

This talk is part of the Isaac Newton Institute Seminar Series series.

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