Conical soliton escape into a third dimension of a surface vortex

Details Conical soliton escape into a third dimension of a surface vortex Conical soliton escape into a third dimension of a surface vortex

2007-11-19

arxiv.org/abs/0711.2985v2

Phys. Rev. E 79, 041702 (2009)

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 8 eps figures, accepted by PRE

Scientific paper

10.1103/PhysRevE.79.041702

We 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.

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