Where are the Hedgehogs in Nematics?

Details Where are the Hedgehogs in Nematics? Where are the Hedgehogs in Nematics?

1995-01-09

arxiv.org/abs/cond-mat/9501026v1

Physics

Condensed Matter

6 pages, latex, 1 figure (self-unpacking PostScript).

Scientific paper

10.1103/PhysRevLett.75.2502

In experiments which take a liquid crystal rapidly from the isotropic to the nematic phase, a dense tangle of defects is formed. In nematics, there are in principle both line and point defects (``hedgehogs''), but no point defects are observed until the defect network has coarsened appreciably. In this letter the expected density of point defects is shown to be extremely low, approximately $10^{-8}$ per initially correlated domain, as result of the topology (specifically, the homology) of the order parameter space.

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