  We employ an elastic line model to investigate the steady-state properties
and non-equilibrium relaxation kinetics of magnetic vortex lines in disordered
type-II superconductors using Langevin molecular dynamics (LMD). We extract the
dependence of the mean vortex line velocity and gyration radius as well as the
mean-square displacement in the steady state on the driving current, and
measure the vortex density and height autocorrelations in the aging regime. We
study samples with either randomly distributed point-like or columnar
attractive pinning centers, which allows us to distinguish the complex
relaxation features of interacting flux lines subject to extended vs.
uncorrelated disorder. Additionally, we find that our new LMD findings match
earlier Monte Carlo (MC) simulation data well, verifying that these two
microscopically quite distinct simulation methods lead to macroscopically very
similar results for non-equilibrium vortex matter.
