Conical soliton escape into a third dimension of a surface vortex

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dc.creatorRadzihovsky, Leo
dc.creatorZhang, Quan
dc.date2007-11-19
dc.date2009-04-03
dc.date.accessioned2026-07-07T13:06:32Z
dc.date.available2026-07-07T13:06:32Z
dc.descriptionWe present an exact three-dimensional solitonic solution to a sine-Gordon-type Euler-Lagrange equation, that describes a configuration of a three-dimensional vector field n constrained to a surface p-vortex, with a prescribed polar tilt angle on a planar substrate and escaping into the third dimension in the bulk. The solution is relevant to characterization of a schlieren texture in nematic liquid-crystal films with tangential (in-plane) substrate alignment. The solution is identical to a section of a point defect discovered many years ago by Saupe [Mol. Cryst. Liq. Cryst. 21, 211 (1973)], when latter is restricted to a surface.
dc.description9 pages, 8 eps figures, accepted by PRE
dc.identifierhttps://arxiv.org/abs/0711.2985
dc.identifierhttp://arxiv.org/abs/0711.2985
dc.identifierPhys. Rev. E 79, 041702 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.041702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227813
dc.subjectSoft Condensed Matter
dc.titleConical soliton escape into a third dimension of a surface vortex
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