Testing statics-dynamics equivalence at the spin-glass transition in three dimensions

Abstract

The statics-dynamics correspondence in spin glasses relate non-equilibrium results on large samples (the experimental realm) with equilibrium quantities computed on small systems (the typical arena for theoretical computations). Here we employ statics-dynamics equivalence to study the Ising spin-glass critical behavior in three dimensions. By means of Monte Carlo simulation, we follow the growth of the coherence length (the size of the glassy domains), on lattices too large to be thermalized. Thanks to the large coherence lengths we reach, we are able to obtain accurate results in excellent agreement with the best available equilibrium computations. To do so, we need to clarify the several physical meanings of the dynamic exponent close to the critical temperature.

arXiv commentVersion to appear in Physical Review B

References in corpus (47)

• Theory of Phase Ordering Kinetics
• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Direct experimental evidence of a growing length scale accompanying the glass transition
• Supercooled Liquids for Pedestrians
• Critical Behavior of the Three-Dimensional Ising Spin Glass
• Measuring equilibrium properties in aging systems
• Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
• Geometrical Aspects of Aging and Rejuvenation in the Ising Spin Glass: A Numerical Study
• Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
• Off-Equilibrium Dynamics in Finite-Dimensional Spin Glass Models
• Separation of time and length scales in spin-glasses: temperature as a microscope
• Numerical Evidence for Spontaneously Broken Replica Symmetry in 3D Spin Glasses
• Extraction of the Spin Glass Correlation Length
• The critical behavior of three-dimensional Ising spin glass models
• Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
• Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
• Critical parameters of the three-dimensional Ising spin glass
• Spin Anisotropy and Slow Dynamics in Spin Glasses
• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• Diluted one-dimensional spin glasses with power law decaying interactions
• Nonequilibrium spin glass dynamics from picoseconds to 0.1 seconds
• Full Aging in Spin Glasses
• Simplicity of State and Overlap Structure in Finite-Volume Realistic Spin Glasses
• Monte Carlo computation of correlation times of independent relaxation modes at criticality
• Ordering in Heisenberg Spin Glasses
• Thermodynamic glass transition in a spin glass without time-reversal symmetry
• Simulating spin systems on IANUS, an FPGA-based computer
• Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses
• The correspondence between long-range and short-range spin glasses
• Static versus dynamic heterogeneities in the D = 3 Edwards-Anderson-Ising spin glass
• Domain growth by isothermal aging in 3d Ising and Heisenberg spin glasses
• The critical behavior of 3D Ising glass models: universality and scaling corrections
• Real space application of the mean-field description of spin glass dynamics
• Temperature Cycles in the Heisenberg Spin Glass
• Nanoscale dynamics and the fluctuation-dissipation-relation in an aging polymer glass
• Small Window Overlaps Are Effective Probes of Replica Symmetry Breaking in 3D Spin Glasses
• Phase Transition in 3d Heisenberg Spin Glasses with Strong Random Anisotropies, through a Multi-GPU Parallelization
• Experimental Evidence of Fluctuation-Dissipation Theorem Violation in a Superspin Glass
• Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model
• Weak universality of spin-glass transitions in three-dimensional $\pm J$ models
• Parallel Tempering Simulation of the three-dimensional Edwards-Anderson Model with Compact Asynchronous Multispin Coding on GPU
• Heisenberg Spin Glass Experiments and the Chiral Ordering Scenario
• Dynamic critical behaviour in Ising spin glasses
• Dynamic Correlation Length Growth in Superspin Glass: Bridging Experiments and Simulations
• Nonequilibrium dynamic-correlation-length scaling method
• Spin Glasses on the Hypercube
• Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations

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• The QISG suite: high-performance codes for studying Quantum Ising Spin Glasses
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• A strategy for solving difficulties in spin-glass simulations
• Universal exotic dynamics in critical mesoscopic systems: Simulating the square root of Avogadro's number of spins
• Numerical study of barriers and valleys in the free-energy landscape of spin glasses
• Massive-Scale Simulations of 2D Ising and Blume-Capel Models on Rack-Scale Multi-GPU Systems
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• Deepening the knowledge of Spin Glasses: Metastate, Off-equilibrium phenomena and Temperature Chaos