  Extensive Monte Carlo simulations are performed on a two-dimensional random
field Ising model. The purpose of the present work is to study the
disorder-induced changes in the properties of disordered spin systems. The time
evolution of the domain growth, the order parameter and spin-spin correlation
functions are studied in the non equilibrium regime. The dynamical evolution of
the order parameter and the domain growth shows a power law scaling with
disorder-dependent exponents. It is observed that, except for very small random
fields, exchange interaction never wins over pinning interaction to establish
long range order.
