Signature of the Ground-State Topology in the Low-Temperature Dynamics of Spin Glasses

Abstract

We numerically address the issue of how the ground state topology is reflected in the finite temperature dynamics of the $\pm J$ Edwards-Anderson spin glass model. In this system a careful study of the ground state configurations allows to classify spins into two sets: solidary and non-solidary spins. We show that these sets quantitatively account for the dynamical heterogeneities found in the mean flipping time distribution at finite low temperatures. The results highlight the relevance of taking into account the ground state topology in the analysis of the finite temperature dynamics of spin glasses.

arXiv comment4 pages, 4 figures, content changed

References in corpus (14)

• Statistical mechanics of the random K-SAT model
• Off-Equilibrium Dynamics in Finite-Dimensional Spin Glass Models
• Heterogeneous aging in spin glasses
• The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations
• Dynamical Exchanges in Facilitated Models of Supercooled liquids
• Spatially heterogeneous ages in glassy dynamics
• Out-of-equilibrium dynamical fluctuations in glassy systems
• Separation of time-scales and reparametrization invariance for aging systems
• Real space application of the mean-field description of spin glass dynamics
• Glassy dynamics near zero temperature
• A microscopic description of the aging dynamics: fluctuation-dissipation relations, effective temperature and heterogeneities
• Time scale separation and heterogeneous off-equilibrium dynamics in spin models over random graphs
• Aging dynamics of heterogeneous spin models
• Novel order parameter to describe the critical behavior of Ising spin glass models

Cited by in corpus (16)

• Analog Errors in Ising Machines
• Ground-state topology of the Edwards-Anderson +/-J spin glass model
• Influence of the Ground-State Topology on the Domain-Wall Energy in the Edwards-Anderson +/- J Spin Glass Model
• Strong Dynamical Heterogeneities in the Violation of the Fluctuation-Dissipation Theorem in Spin Glasses
• Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic
• Message passing and Monte Carlo algorithms: connecting fixed points with metastable states
• Domain growth within the backbone of the three-dimensional $\pm J$ Edwards-Anderson spin glass
• Backbone structure of the Edwards-Anderson spin-glass model
• Ground-state configuration space heterogeneity of random finite-connectivity spin glasses and random constraint satisfaction problems
• Temperature dependence of fast relaxation processes in amorphous materials
• Nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with Gaussian couplings: Strong heterogeneities and the backbone picture
• Dynamical heterogeneities as fingerprints of a backbone structure in Potts models
• SWAP algorithm for lattice spin models
• Self-Sustained Clusters as Drivers of Computational Hardness in $p$-spin Models
• Slow Spin Dynamics and Self-Sustained Clusters in Sparsely Connected Systems
• Changing the universality class of the three-dimensional Edwards-Anderson spin-glass model by selective bond dilution