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A dynamic model of the asymmetric Ising glass is presented: an Ising modelwith antiferromagnet bonds with probabilities q arranged at random in aferromagnetic matrix. The dynamics is introduced by changing the arrangement ofthe antiferromagnetic bonds after n Monte Carlo steps but keeping the samevalue of q and spin configuration. In the region where there is a second ordertransition between the ferromagnetic and paramagnetic states the dynamicbehaviour follows that expected for motional narrowing and reverts to thestatic behaviour only for large n. There is a different dynamic behaviour wherethere is a first order transition between the ferromagnetic and spin glassstates where it shows no effects of motional narrowing. The implications ofthis are discussed. This model is devised to explain the properties of dopedZnO where the magnetisation is reduced when the exchange interactions changewith time.

Theory of magnetism with temporal disorder applied to magnetically doped ZnO