Parallel transport and defects on nematic shells View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2012-11

AUTHORS

Riccardo Rosso, Epifanio G. Virga, Samo Kralj

ABSTRACT

Nematic shells are thin films of nematic liquid crystal deposited on the boundary of colloidal particles, where liquid crystal molecules may freely glide, while remaining tangent to the surface substrate. The surface nematic order is described here by an appropriate tensor field Q, which vanishes wherever a defect occurs in the molecular order. We show how the classical concept of parallel transport on a manifold introduced by Levi-Civita can be adapted to this setting to define the topological charge m of a defect. We arrive at a simple formula to compute m from a generic representation of Q. In a number of separate appendices, we revisit in a unified language several, apparently disparate applications of Levi-Civita’s parallel transport. More... »

PAGES

643-664

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00161-012-0259-4

DOI

http://dx.doi.org/10.1007/s00161-012-0259-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043726519


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