Weaving Knotted Vector Fields with Tunable Helicity.

@article{Kedia2016WeavingKV,
  title={Weaving Knotted Vector Fields with Tunable Helicity.},
  author={Hridesh Kedia and David Foster and M R Dennis and William T. M. Irvine},
  journal={Physical review letters},
  year={2016},
  volume={117 27},
  pages={274501}
}
We present a general construction of divergence-free knotted vector fields from complex scalar fields, whose closed field lines encode many kinds of knots and links, including torus knots, their cables, the figure-8 knot, and its generalizations. As finite-energy physical fields, they represent initial states for fields such as the magnetic field in a… CONTINUE READING