Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-09-17
Physics
Condensed Matter
Soft Condensed Matter
17 pages, 6 eps figures. Acknowledgement is added and certain parts of text are improved
Scientific paper
Using Landau-de Gennes effective theory for nematic liquid crystals we analyse the structure of rectilinear n=1/2 smooth disclination line in the case of equal elastic constants. We find that at certain temperature there is an exact mathematical correspondence with a rectilinear vortex in superfluid $^4He$. With a help of polynomial approximation difference of free energies of the smooth and of a singular disclination lines is estimated. It turns out that the smooth disclination line is energetically preferred only if temperature is low enough. At higher temperatures a disordered core should be expected.
Arodz Henryk
Pełka R.
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