  We study the non-equilibrium relaxation kinetics of interacting magnetic flux
lines in disordered type-II superconductors at low temperatures by means of a
three-dimensional elastic line model and Monte Carlo simulations. Investigating
the vortex density and height autocorrelation functions as well as the flux
line mean-square displacement, we observe the emergence of glassy dynamics,
caused by the competing effects of vortex pinning due to point defects and
long-range repulsive interactions between the flux lines. Our systematic
numerical study allows us to carefully disentangle the associated different
relaxation mechanisms, and to assess their relative impact on the kinetics of
vortex matter at low temperatures.
