Magnetic system under a fluctuating field

We study nonequilibrium steady states, phase transitions and critical phenomena in a d-dimensional lattice model which represents a magnetic system under the action of a field fluctuating very rapidly with time. This induces competing kinetics which produces a sort of (dynamical) frustration which might occur also in some natural disordered systems. The exact solution for d = 1, partial exact results for d ≥ 2, and a comparison with some related models are reported.