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Relaxation of twisted vortices in the Faddeev-Skyrme model

Jarmo Hietarinta·Juha Jäykkä·Petri Salo
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Abstract

We study vortex knotting in the Faddeev-Skyrme model. Starting with a straight vortex line twisted around its axis we follow its evolution under dissipative energy minimization dynamics. With low twist per unit length the vortex forms a helical coil, but with higher twist numbers the vortex becomes knotted or a ring is formed around the vortex.

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Jarmo Hietarinta, Juha Jäykkä, Petri Salo. 2003-09-22. Relaxation of twisted vortices in the Faddeev-Skyrme model. https://doi.org/10.1016/j.physleta.2003.11.042

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