Relaxation of twisted vortices in the Faddeev-Skyrme model

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. (C) 2003 Elsevier B.V. All rights reserved.