Relaxation of twisted vortices in the Faddeev-Skyrme model
Jarmo Hietarinta, Juha Jäykkä, Petri Salo
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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