An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature

Abstract

Using the dedicated computer Janus, we follow the nonequilibrium dynamics of the Ising spin glass in three dimensions for eleven orders of magnitude. The use of integral estimators for the coherence and correlation lengths allows us to study dynamic heterogeneities and the presence of a replicon mode and to obtain safe bounds on the Edwards-Anderson order parameter below the critical temperature. We obtain good agreement with experimental determinations of the temperature-dependent decay exponents for the thermoremanent magnetization. This magnitude is observed to scale with the much harder to measure coherence length, a potentially useful result for experimentalists. The exponents for energy relaxation display a linear dependence on temperature and reasonable extrapolations to the critical point. We conclude examining the time growth of the coherence length, with a comparison of critical and activated dynamics.

38 pages, 26 figures

References in corpus (10)

• The critical behavior of three-dimensional Ising spin glass models
• Nonequilibrium spin glass dynamics from picoseconds to 0.1 seconds
• The spin glass transition of the three dimensional Heisenberg spin glass
• Simulating spin systems on IANUS, an FPGA-based computer
• The critical behavior of 3D Ising glass models: universality and scaling corrections
• Ultrametricity in the Edwards-Anderson Model
• Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
• Dynamical scaling in Ising and vector spin glasses
• Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model
• Study of the phase transition in the 3d Ising spin glass from out of equilibrium numerical simulations

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• Reconfigurable computing for Monte Carlo simulations: results and prospects of the Janus project
• Dynamically generated hierarchies in games of competition
• Ageing at the Spin-Glass/Ferromagnet Transition: Monte Carlo Simulation using GPUs
• Spin-glass dynamics in the presence of a magnetic field: exploration of microscopic properties
• Non-equilibrium evolution of window overlaps in spin glasses
• Inherent Structures in m-component Spin Glasses
• Spin-glass dynamics: experiment, theory and simulation
• Ordering Behavior of the Two-Dimensional Ising Spin Glass with Long-Range Correlated Disorder
• Nontrivial maturation metastate-average state in a one-dimensional long-range Ising spin glass: above and below the upper critical range
• Multifractality in spin glasses
• Quantifying memory in spin glasses
• Large random correlations in individual mean field spin glass samples
• Numerical study of the overlap Lee-Yang singularities in the three-dimensional Edwards-Anderson model
• Equilibrium and out-of-equilibrium critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy