  We investigate numerically disorder chaos in spin glasses, i.e. the
sensitivity of the ground state to small changes of the random couplings. Our
study focuses on the Edwards-Anderson model in d=1,2,3 and in mean-field. We
find that in all cases, simple scaling laws, involving the size of the system
and the strength of the perturbation, are obeyed. We characterize in detail the
distribution of overlap between ground states and the geometrical properties of
flipped spin clusters in both the weak and strong chaos regime. The possible
relevance of these results to temperature chaos is discussed.
