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The theory of phase transitions is based on the consideration of "idealized"models, such as the Ising model: a system of magnetic moments living on a cubiclattice and having only two accessible states. For simplicity the interactionis supposed to be restricted to nearest--neighbour sites only. For thesemodels, statistical physics gives a detailed description of the behaviour ofvarious thermodynamic quantities in the vicinity of the transition temperature.These findings are confirmed by the most precise experiments. On the otherhand, there exist other cases, where one must account for additional features,such as anisotropy, defects, dilution or any effect that may affect the natureand/or the range of the interaction. These features may have impact on theorder of the phase transition in the ideal model or smear it out. Here weaddress two classes of models where the nature of the transition is altered bythe presence of anisotropy or dilution.

Interaction anisotropy and random impurities effects on the critical behaviour of ferromagnets