Real-space application of the mean-field description of spin-glass dynamics - art. no. 087204

The out of equilibrium dynamics of finite dimensional spin glasses is consi dered from a point of view going beyond the standard "mean-field theory" ve rsus "droplet picture" debate of the past decades. The main predictions of both theories concerning the spin-glass dynamics are discussed. It is shown , in particular, that predictions originating from mean-field ideas concern ing the violations of the fluctuation-dissipation theorem apply quantitativ ely, provided one properly takes into account the role of a spin-glass cohe rence length, which plays a central role in the droplet picture. Dynamics i n a uniform magnetic field is also briefly discussed.