Dilute Ising antiferromagnets in a homogenous magnetic field have a disorde
red phase for sufficiently large values of the field and for low temperatur
es. Here, the system is in a domain state with a broad size-distribution of
fractal domains. We study the relaxation dynamics of this domain state aft
er removing the external field for two and three dimensions. Using Monte Ca
rlo simulation techniques, we measure the decay of the remanent magnetizati
on. Its temperature dependence can be understood as thermal activation. All
data can be described by a unique generalized power law for a wide range o
f temperatures in two- and three-dimensions. The question of whether the ex
ponent of the generalized power-law is universal remains open.