  We employ Monte Carlo simulations in order to study dynamics of the
magnetization and domain growth processes in the random-field Ising models with
uniform and Gaussian random field distributions of varying strengths. Domain
sizes are determined directly using the Hoshen-Kopelman algorithm. For either
case, both the magnetization and the largest domain growth dynamics are found
to follow the power law with generally different exponents, which exponentially
decay with the random field strength. Moreover, for relatively small random
fields the relaxation is confirmed to comply with different regimes at early
and later times. No significant differences were found between the results for
the uniform and Gaussian distributions, in accordance with the universality
assumption.
