Abstract
The ferromagnetic phase transition of macroscopically inhomogeneous systems is discussed for small and large disorder. For the latter case we consider strongly magnetic precipitates in a weakly magnetic matrix and show that the critical temperature for the ordering among the precipitates depends sensitively on the geometrical properties of the system. For the case of small disorder materials consisting of grains with weakly differing magnetic properties are discussed. We recover the conventional Harris criterion for the critical behavior and show that for Heisenberg ferromagnets of this type the width of the asymptotic critical temperature range decreases very strongly with increasing grain size.
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