Temperature chaos, rejuvenation, and memory in migdal-kadanoff spin glasses

We use simulations within the Migdal-Kadanoff approach to probe the scales relevant for rejuvenation and memory in Ising spin glasses. First we investigate scaling laws for domain wall free energies and extract the chaos overlap length .(T,T-'). Then we perform out of equilibrium simulations that follow experimental protocols. We find that (1) a rejuvenation signal arises at a length scale significantly smaller than .(T,T-'), and (2) memory survives even if equilibration goes out to length scales larger than .(T,T-'). Theoretical justifications of these phenomena are then considered.