Relaxation of twisted vortices in the Faddeev-Skyrme model
Jarmo Hietarinta, Juha J\"aykk\"a, and Petri Salo
TL;DR
This paper investigates how twisted vortex lines in the Faddeev-Skyrme model evolve under energy minimization, revealing that higher twists lead to knotting or ring formation, advancing understanding of vortex dynamics.
Contribution
It introduces a detailed analysis of vortex knotting and ring formation in the Faddeev-Skyrme model under dissipative dynamics, highlighting the effects of twist magnitude.
Findings
Low twist results in helical coil formation
High twist causes vortex knotting or ring creation
Vortex topology depends on initial twist amount
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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