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SUMMARY:Rémy Mosseri (LPTMC Sorbonne Université)
DTSTART:20210208T100000Z
DTEND:20210208T110000Z
DTSTAMP:20260423T021447Z
UID:QM3/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/32/">Liq
 uid crystal director fields in three-dimensional non-Euclidean geometries<
 /a>\nby Rémy Mosseri (LPTMC Sorbonne Université) as part of Quantum Matt
 er meets Maths (IST\, Lisbon)\n\n\nAbstract\nThis work investigates nemati
 c liquid crystals in three-dimensional curved space\, and determines which
  director deformation modes are compatible with each possible type of non-
 Euclidean geometry. Previous work by Sethna et al. [1] showed that double 
 twist is frustrated in flat space $\\mathbb{R}^3$\, but can fit perfectly 
 in the hypersphere $\\mathbb{S}^3$. Here\, we extend that work to all four
  deformation modes (splay\, twist\, bend\, and biaxial splay) and all eigh
 t Thurston geometries [2]. Each pure mode of director deformation can fill
  space perfectly\, for at least one type of geometry. This analysis shows 
 the ideal structure of each deformation mode in curved space\, which is fr
 ustrated by the requirements of flat space.\n\n[1] Sethna J P\,Wright D C 
 and Mermin N D 1983 Phys. Rev. Lett. 51 467–70\n\n[2] J-F Sadoc\, R. Mos
 seri and J. Selinger\, New Journal of Physics 22 (2020) 093036\n
LOCATION:https://researchseminars.org/talk/QM3/32/
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