Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses

Abstract

We present a high statistic systematic study of the overlap correlation function well below the critical temperature in the three dimensional Gaussian spin glass. The off-equilibrium correlation function has been studied confirming the power law behavior for the dynamical correlation length. In particular we have computed the dynamical critical exponent $z$ in a wide range of temperatures, $0.35\le T\le 0.9$, obtaining a dependence $z(T)=6.2/T$ in a very good agreement with recent experiments. Moreover, we report a study of the violation of the fluctuation-dissipation theorem for very low temperatures $T=0.5$ and $T=0.35$. All our numerical results avoid a droplet model interpretation even when $T$ is as low as $T=0.35$.

LaTeX, 14 pages and 5 figures. A minor arithmetic error corrected and references updated

References in corpus (11)

• Memory and Chaos Effects in Spin Glasses
• Measuring equilibrium properties in aging systems
• Replica Symmetry Breaking in Short-Range Spin Glasses: Theoretical Foundations and Numerical Evidences
• Extraction of the Spin Glass Correlation Length
• Evidence for the droplet/scaling picture of spin glasses
• Generalized off-equilibrium fluctuation-dissipation relations in random Ising systems
• Numerical Simulations of the 4D Edwards-Anderson Spin Glass with Binary Couplings
• Small Window Overlaps Are Effective Probes of Replica Symmetry Breaking in 3D Spin Glasses
• Reply to "Comment on Evidence for the droplet picture of spin glasses"
• Comment on "Evidence for the Droplet/Scaling Picture of Spin Glasses"
• Comment on "Numerical Study on Aging Dynamics in the 3D Ising Spin Glass Model"

Cited by in corpus (39)

• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Fluctuation-dissipation ratio of a spin glass in the aging regime
• Geometrical Aspects of Aging and Rejuvenation in the Ising Spin Glass: A Numerical Study
• Aging, rejuvenation and memory effects in Ising and Heisenberg spin glasses
• Nonequilibrium Critical Dynamics of the 2D XY model
• Heterogeneous aging 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 Dynamics of the Heisenberg Spin Glass
• Matching microscopic and macroscopic responses in glasses
• 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
• Chaotic, memory and cooling rate effects in spin glasses: Is the Edwards-Anderson model a good spin glass?
• A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements
• Off-equilibrium fluctuation-dissipation relation in a spin glass
• Testing statics-dynamics equivalence at the spin-glass transition in three dimensions
• Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model
• The random Blume-Capel model on cubic lattice: first order inverse freezing in a 3D spin-glass system
• Growth of a dynamical correlation length in an aging superspin glass
• Number of thermodynamic states in the three-dimensional Edwards-Anderson spin glass
• Fluctuation-dissipation ratio of the Heisenberg spin glass
• Is dynamic ultrametricity observable in spin glasses?
• Some considerations of finite dimensional spin glasses
• Real spin glasses relax slowly in the shade of hierarchical trees
• Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses
• Aging in Spin Glasses in three, four and infinite dimensions
• Edwards-Anderson spin glasses undergo simple cumulative aging
• Off-equilibrium fluctuation-dissipation relations in the 3d Ising Spin Glass in a magnetic field
• Partition-function zeros of spherical spin glasses and their relevance to chaos
• Spin-glass dynamics: experiment, theory and simulation
• On the superposition principle and non-linear response in spin glasses
• Dynamic Gardner crossover in a simple structural glass
• Spatial correlation functions and dynamical exponents in very large samples of 4D spin glasses
• Low T Dynamical Properties of Spin Glasses Smoothly Extrapolate to T=0
• Real space analysis of inherent structures
• Numerical simulations of Ising spin glasses with free boundary conditions: the role of droplet excitations and domain walls
• A consequence of local equilibration and heterogeneity in glassy materials