  With Monte Carlo simulations, the nonsteady dynamics properties of a domain
wall have been systematically investigated for the thermally activated creep
state under an alternating driving field. Taking the driven random-field Ising
model in two dimensions as an example, two distinct growth stages of the domain
interface are identified with both the correlation length and roughness
function. One stage belongs to the universality class of the random
depositions, and the other to that of the quenched Edwards-Wilkinson equation.
In the latter case, due to the dynamic effect of overhangs, the domain
interface may exhibit an intrinsic anomalous scaling behavior, different from
that of the quenched Edwards-Wilkinson equation.
