  We utilize Langevin molecular dynamics simulations to study dynamical
critical behavior of magnetic flux lines near the depinning transition in
type-II superconductors subject to randomly distributed attractive point
defects. We employ a coarse-grained elastic line Hamiltonian for the mutually
repulsive vortices and purely relaxational kinetics. In order to infer the
stationary-state critical exponents for the continuous non-equilibrium
depinning transition at zero temperature T = 0 and at the critical driving
current density j_c, we explore two-parameter scaling laws for the flux lines'
gyration radius and mean velocity as functions of the two relevant scaling
fields T and j - j_c. We also investigate critical aging scaling for the
two-time height auto-correlation function in the early-time non-equilibrium
relaxation regime to independently measure critical exponents. We provide
numerical exponent values for the distinct universality classes of
non-interacting and repulsive vortices.
