We discuss the use of Langevin molecular dynamics in the investigation of the
non-equilibrium properties of disordered vortex matter. Our special focus is
set on values of system parameters that are realistic for disordered high-Tc
superconductors such as YBCO. Using a discretized elastic line model, we study
different aspects of vortices far from thermal equilibrium. On the one hand we
investigate steady-state properties of driven magnetic flux lines in a
disordered environment, namely the current-voltage characteristics, the
gyration radius, and the pinning time statistics. On the other hand we study
the complex relaxation processes and glassy-like dynamics that emerge in
type-II superconductors due to the intricate competition between the long-range
vortex-vortex repulsion and flux pinning due to randomly placed point defects.
To this end we consider different types of sudden perturbations: temperature,
magnetic field, and external current quenches
