Domain growth within the backbone of the three-dimensional $\pm J$ Edwards-Anderson spin glass

Abstract

The goal of this work is to show that a ferromagnetic-like domain growth process takes place within the backbone of the three-dimensional $\pm J$ Edwards-Anderson (EA) spin glass model. To sustain this affirmation we study the heterogeneities displayed in the out-of-equilibrium dynamics of the model. We show that both correlation function and mean flipping time distribution present features that have a direct relation with spatial heterogeneities, and that they can be characterized by the backbone structure. In order to gain intuition we analyze the pure ferromagnetic Ising model, where we show the presence of dynamical heterogeneities in the mean flipping time distribution that are directly associated to ferromagnetic growing domains. We extend a method devised to detect domain walls in the Ising model to carry out a similar analysis in the three-dimensional EA spin glass model. This allows us to show that there exists a domain growth process within the backbone of this model.

10 pages, 10 figures

References in corpus (5)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Local fluctuations in the aging of a simple glass
• The ground state energy of the Edwards-Anderson spin glass model with a parallel tempering Monte Carlo algorithm
• 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

Cited by in corpus (8)

• Ground-state topology of the Edwards-Anderson +/-J spin glass model
• Dynamic scaling in the 2D Ising spin glass with Gaussian couplings
• 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
• Dynamical heterogeneities as fingerprints of a backbone structure in Potts models
• Nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with Gaussian couplings: Strong heterogeneities and the backbone picture
• Self-Sustained Clusters as Drivers of Computational Hardness in $p$-spin Models
• Slow Spin Dynamics and Self-Sustained Clusters in Sparsely Connected Systems