Nematic textures in spherical shells

Details Nematic textures in spherical shells Nematic textures in spherical shells

2006-04-12

arxiv.org/abs/cond-mat/0604293v1

Phys. Rev. E 74, 021711 (2006)

Physics

Condensed Matter

Soft Condensed Matter

19 pages, 11 figures

Scientific paper

10.1103/PhysRevE.74.021711

The equilibrium texture of nematic shells is studied as a function of their thickness. For ultrathin shells the ground state has four short 1/2 disclination lines but, as the thickness of the film increases, a three dimensional escaped configuration composed of two pairs of half-hedgehogs becomes energetically favorable. We derive an exact solution for the nematic ground state in the one Frank constant approximation and study the stability of the corresponding texture against thermal fluctuations.

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