Analysis of landscape hierarchy during coarsening and aging in Ising spin glasses

摘要: We use record dynamics (RD), a coarse-grained description of the ubiquitous relaxation phenomenology known as ``aging,'' diagnostic tool to find universal features that distinguish between energy landscapes Ising spin models and ferromagnet. According RD, nonequilibrium system after quench relies on fluctuations randomly generate sequence irreversible record-sized events (quakes or avalanches) allow escape ever-higher barriers metastable states within complex, hierarchical landscape. Once these overcome such barriers, relaxes by tumbling into following state is marginally more stable. Within this framework, clear distinction can be drawn coarsening an ferromagnet aging glass, which are often put in same category. To end, we interpolate glass varying admixture $p$ ferromagnetic over antiferromagnetic bonds from glassy (at 50% each) wherever behavior emerges. The accumulation grows logarithmically with time regime, sharp transition at specific regime where activations saturate quickly. show effect for both Edwards-Anderson model cubic lattice well Sherrington-Kirkpatrick (mean-field) glass. While coincides previously observed zero-temperature equilibrium former, has not yet been described latter.