F. Ricci-tersenghi et F. Ritort, Absence of ageing in the remanent magnetization in Migdal-Kadanoff spin glasses, J PHYS A, 33(20), 2000, pp. 3727-3734
We study the non-equilibrium behaviour of three-dimensional spin glasses in
the Migdal-Kadanoff approximation. This approximation is exact Tor disorde
red hierarchical lattices which have a unique ground state and equilibrium
properties correctly described by the droplet model. Extensive numerical si
mulations show that this model lacks ageing in the remanent magnetization a
s well as a maximum in the magnetic viscosity in disagreement with experime
nts as well as with numerical studies of the Edwards-Anderson model. This r
esult strongly limits the validity of the droplet model (at least in its si
mplest form) as a good model for real spin glasses.