  Ferromagnetic spin-1 Bose-Einstein condensates in the broken-axisymmetric
phase support polar-core spin vortices (PCVs), which are intimately linked to
the nonequilibrium dynamics of the system. For a purely transversely magnetized
system, the Turner point-vortex model predicts that PCVs behave like massive
charged particles interacting via a two-dimensional Coulomb potential. We test
the accuracy of the Turner model for two oppositely charged PCVs, via
comparisons with numerical simulations. While the bare Turner model shows
discrepancies with our numerical results, we find that a simple rescaling of
the PCV mass gives much better agreement. This can be explained via a
phenomenological damping arising from coupling to modes extrinsic to the
point-vortex phase space. We also identify the excitations produced following
PCV annihilation, which help elucidate recent phase ordering results. We extend
the Turner model to cases where the system is magnetized both transversally and
axially, identifying a crossover to scalar vortex dynamics for increasing
external Zeeman field.
