Off-Equilibrium Dynamics in Finite-Dimensional Spin Glass Models
arXiv:cond-mat/9507046 · doi:10.1103/PhysRevB.53.6418
Abstract
The low temperature dynamics of the two- and three-dimensional Ising spin glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the autocorrelation function a typical aging scenario with a scaling is established. Investigating spatial correlations we find an algebraic growth law of the average domain size. The spatial correlation function scales with . The sensitivity of the correlations in the spin glass phase with respect to temperature changes is examined by calculating a time dependent overlap length. In the two dimensional model we examine domain growth with a new method: First we determine the exact ground states of the various samples (of system sizes up to ) and then we calculate the correlations between this state and the states generated during a Monte Carlo simulation.
38 pages, RevTeX, 14 postscript figures
References in corpus (11)
- On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
- Aging on Parisi's tree
- Off equilibrium dynamics and aging in unfrustrated systems
- Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
- Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
- Evidence of aging in mean-field spin glass models
- Fluctuation Dissipation Ratio in Three-Dimensional Spin Glasses
- On Mean Field Glassy Dynamics out of Equilibrium
- Aging and domain growth in the two--dimensional Ising spin glass model
- Monte Carlo Studies of Ising Spin Glasses and Random Field Systems
- Thermocycling experiments with the three-dimensional Ising spin glass model
Cited by in corpus (117)
- Critical Behavior of the Three-Dimensional Ising Spin Glass
- Computer Simulations of Supercooled Liquids and Glasses
- Geometrical Aspects of Aging and Rejuvenation in the Ising Spin Glass: A Numerical Study
- Extraction of the Spin Glass Correlation Length
- Nonequilibrium Critical Dynamics of the 2D XY model
- The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations
- 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
- Spatially heterogeneous ages in glassy dynamics
- Aging phenomena in spin glass and ferromagnetic phases: domain growth and wall dynamics
- Domain Growth in Ising Systems with Quenched Disorder
- Domain Growth in Random Magnets
- Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model. I. Energy Relaxation and Domain Coarsening
- Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model. II. Quasi-Equilibrium Regime of Spin Auto-Correlation Function
- Off-equilibrium dynamics of the two-dimensional Coulomb glass
- Log-Poisson statistics and full aging in glassy systems
- Nature of the phase transition of the three-dimensional isotropic Heisenberg spin glass
- Multiple Types of Aging in Active Glass
- Aging Dynamics of the Heisenberg Spin Glass
- Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses
- Chaos in a Two-Dimensional Ising Spin Glass
- Mean-field theory of temperature cycling experiments in spin-glasses
- Intermittency, aging and record fluctuations
- Domain growth by isothermal aging in 3d Ising and Heisenberg spin glasses
- Matching microscopic and macroscopic responses in glasses
- Absence of rejuvenation in a Superspin Glass
- A Role of Initial Conditions in Spin-Glass Aging Experiments
- Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
- Real space application of the mean-field description of spin glass dynamics
- Dynamical breakdown of the Ising spin-glass order under a magnetic field
- Chaotic, memory and cooling rate effects in spin glasses: Is the Edwards-Anderson model a good spin glass?
- Temperature Cycles in the Heisenberg Spin Glass
- Universal aging properties at a disordered critical point
- Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?
- Super-Aging in two-dimensional random ferromagnets
- Linear response in aging glassy systems, intermittency and the Poisson statistics of record fluctuations
- Energy and entropy of metastable states in glassy systems
- Eigenvalue method to compute the largest relaxation time of disordered systems
- Extended droplet theory for aging in short-ranged spin glasses and a numerical examination
- Aging of the Zero-Field-Cooled Magnetization in Ising Spin Glasses: Experiment and Numerical Simulation
- Dynamical scaling in Ising and vector spin glasses
- Testing statics-dynamics equivalence at the spin-glass transition in three dimensions
- Field-Shift Aging Protocol on the 3D Ising Spin-Glass Model: Dynamical Crossover between the Spin-Glass and Paramagnetic States
- Critical exponents in Ising spin glasses
- Exploring Valleys of Aging Systems: The Spin Glass Case
- Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model
- Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model. III. Cumulative Memory and `Chaos' Effects in the Temperature-Shift Protocol
- Mean Field Dynamical Exponents in Finite-Dimensional Ising Spin Glass
- Magnetic Field Dependence of Spin Glass Free Energy Barriers
- Study of Short-distance Spin and Charge Correlations and Local Density-of-States in the CMR regime of the One-Orbital Model for Manganites
- Against temperature chaos in naive Thouless-Anderson-Palmer equations
- Origin of `end of aging' and sub-aging scaling behavior in glassy dynamics
- Domain growth and aging scaling in coarsening disordered systems
- Generating droplets in two-dimensional Ising spin glasses by using matching algorithms
- Is dynamic ultrametricity observable in spin glasses?
- Ageing and dynamical scaling in the critical Ising spin glass
- Signature of the Ground-State Topology in the Low-Temperature Dynamics of Spin Glasses
- "Glassy Dynamics" in Ising Spin Glasses -- Experiment and Simulation
- Non equilibrium dynamics below the super-roughening transition
- Aging and memory effects in beta-hydrochinone-clathrate
- Ageing at the Spin-Glass/Ferromagnet Transition: Monte Carlo Simulation using GPUs
- Chaos in the Random Field Ising Model
- Real spin glasses relax slowly in the shade of hierarchical trees
- Dynamic Correlation Length Growth in Superspin Glass: Bridging Experiments and Simulations
- Closure of the Monte Carlo dynamical equations in the spherical Sherrington-Kirkpatrick model
- Non equilibrium dynamics of disordered systems : understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
- Direct-space investigation of the ultraslow ballistic dynamics of a soft glass
- Spin-glass dynamics in the presence of a magnetic field: exploration of microscopic properties
- Critical properties of the three- and four-dimensional gauge glass
- Time and length scales in spin glasses
- Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses
- How a spin-glass remembers. Memory and rejuvenation from intermittency data: an analysis of temperature shifts
- Comment on "Aging Effects in a Lennard-Jones Glass"
- Aging in Spin Glasses in three, four and infinite dimensions
- Mesoscopic fluctuations and intermittency in aging dynamics
- Aging phenomena in spin glasses: theory, experiment, and simulation
- Edwards-Anderson spin glasses undergo simple cumulative aging
- The Critical Exponent in Spin Glasses
- Non-equilibrium evolution of window overlaps in spin glasses
- Atomistic spin dynamics of the CuMn spin glass alloy
- Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass
- Logarithmic growth law in the two-dimensional Ising spin glass state resulting from the electron doping in single-layered manganites
- The out-equilibrium 2D Ising spin glass: almost, but not quite, a free-field theory
- Persistence and Memory in Patchwork Dynamics for Glassy Models
- Non-equilibrium dynamics of polymers and interfaces in random media : conjecture for the barrier exponent
- Dynamics of ghost domains in spin-glasses
- Characterization of relaxation processes in interacting vortex matter through a time-dependent correlation length
- Aging in the three-dimensional Random Field Ising Model
- Geometric Aspects of the Dipolar Interaction in Lattices of Small Particles
- The connection between statics and dynamics of spin glasses
- Spin-glass dynamics: experiment, theory and simulation
- Non-equilibrium dynamics of finite-dimensional disordered systems : RG flow towards an "infinite disorder" fixed point at large times
- A strategy for solving difficulties in spin-glass simulations
- On the superposition principle and non-linear response in spin glasses
- Non-equilibrium Relaxation and Aging Scaling of the Coulomb and Bose Glass
- Temperature Dependence of Fluctuation Time Scales in Spin Glasses
- A hierarchical model for aging
- Dynamics of unbinding of polymers in a random medium
- Low T Dynamical Properties of Spin Glasses Smoothly Extrapolate to T=0
- Low-temperature dynamics of Long-Ranged Spin-Glasses : full hierarchy of relaxation times via real-space renormalization
- Real space analysis of inherent structures
- SWAP algorithm for lattice spin models
- Growth Kinetics and Aging Phenomena in a Frustrated System
- Memory and Rejuvenation in Glassy Systems
- Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
- Finite-size scaling and dynamics in a two-dimensional lattice of identical oscillators with frustrated couplings
- Numerical Study on Aging Dynamics in the 3D Ising Spin-Glass Model --- Quasi-Equilibrium Behaviour of Spin Auto-Correlation Functions
- Probing magneto-elastic phenomena through an effective spin-bath coupling model
- Nature of temperature chaos in spin glasses
- Coarsening on percolation clusters: out-of-equilibrium dynamics versus non linear response
- Spatio-temporal scaling for out-of-equilibrium relaxation dynamics of an elastic manifold in random media: crossover between the Larkin regime and thermally activated regime
- A consequence of local equilibration and heterogeneity in glassy materials
- Deepening the knowledge of Spin Glasses: Metastate, Off-equilibrium phenomena and Temperature Chaos
- Interplay between aging and rejuvenation in spin glasses
- Spin-glass thermo-remanent magnetization revisited: a numerical and analytical study