The randomly driven Ising ferromagnet: II. One and two dimensions

We consider the behaviour of an Ising ferromagnet obeying the Glauber dynam ics under the influence of a fast-switching, random external held. In paper I, we introduced a general formalism for describing such systems and prese nted the mean-field theory. In this article we derive results for the one-d imensional case, which can be only partially solved. Monte Carlo simulation s performed on a square lattice indicate that the main features of the mean -held theory survive the presence of strong fluctuations.