Spatio-temporal stochastic resonance of domain walls in inhomogeneous magnets

We study the motion of a small-angle domain wall (DW) in a rhombic ferromagnet with localized attracting inhomogeneities in the vicinity of the reorientational phase transiton induced by temperature. Usually a DW call be trapped by the inhomogeneities. If the system is additionally driven by a noisy magnetic field the DW is able to perform stochastic motion and hence achieves probability to jump between several attracting inhomogeneities. With a small periodic field applied to the system we will observe stochastic resonance in the motion of the DW. At an optimal noise level the hopping dynamics of the DW become most coherent and the response of the system to the periodic force is maximal.