Nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with Gaussian couplings: strong heterogeneities and the backbone picture
@article{Rom2016NonequilibriumDO, title={Nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with Gaussian couplings: strong heterogeneities and the backbone picture}, author={Federico Rom{\'a} and Sebastian Bustingorry and Pablo M. Gleiser}, journal={The European Physical Journal B}, year={2016}, volume={89}, pages={1-12} }
Abstract
We numerically study the three-dimensional Edwards-Anderson model with Gaussian
couplings, focusing on the heterogeneities arising in its nonequilibrium dynamics. Results
are analyzed in terms of the backbone picture, which links strong dynamical
heterogeneities to spatial heterogeneities emerging from the correlation of local rigidity
of the bond network. Different two-times quantities as the flipping time distribution and
the correlation and response functions, are evaluated over the…
One Citation
Changing the universality class of the three-dimensional Edwards-Anderson spin-glass model by selective bond dilution
- PhysicsPhysical Review B
- 2021
The three-dimensional Edwards-Anderson spin-glass model presents strong spatial heterogeneities well characterized by the so-called backbone, a magnetic structure that arises as a consequence of the…
References
SHOWING 1-10 OF 47 REFERENCES
Domain growth within the backbone of the three-dimensional ±J Edwards-Anderson spin glass
- Economics
- 2010
The goal of this work is to show that a ferromagneticlike domain-growth process takes place within the backbone of the three-dimensional $\ifmmode\pm\else\textpm\fi{}J$ Edwards-Anderson (EA) spin…
Backbone structure of the Edwards-Anderson spin-glass model.
- EconomicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013
By extensive numerical simulations, it is found that the topological structure of the backbone for a given lattice dimensionality is very similar for both discrete and continuous bond distributions.
Ground-state topology of the Edwards-Anderson ±J spin glass model
- Physics
- 2010
In the Edwards-Anderson model of spin glasses with a bimodal distribution of bonds, the degeneracy of the ground state allows one to define a structure called backbone, which can be characterized by…
Influence of the ground-state topology on domain-wall energy in the Edwards-Anderson ±J spin glass model
- Physics
- 2007
We study the phase stability of the Edwards-Anderson spin-glass model by analyzing the domain-wall energy. For the bimodal distribution of bonds, a topological analysis of the ground state allows us…
The three-dimensional Ising spin glass in an external magnetic field: the role of the silent majority
- Physics
- 2014
We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards–Anderson spin glass in a field, using the Janus computer. A traditional analysis shows no signs of a phase transition.…
Dynamical heterogeneities as fingerprints of a backbone structure in Potts models.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012
Evidence supporting both the idea of a growing process in the preasymptotic regime of the glassy phases and the existence of a backbone structure behind this process is presented.
Aging dynamics of heterogeneous spin models
- Physics
- 2003
We investigate numerically the dynamics of three different spin models in the aging regime. Each of these models is meant to be representative of a distinct class of aging behavior: coarsening…
Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations
- Physics
- 2010
The nonequilibrium dynamics of the three-dimensional Edwards-Anderson spin-glass model with different bond distributions is investigated by means of Monte Carlo simulation. A numerical method is used…
Strong dynamical heterogeneities in the violation of the fluctuation-dissipation theorem in spin glasses.
- PhysicsPhysical review letters
- 2007
Using single spin probability densities, the presence of strong dynamical heterogeneities is revealed, which correlate with ground-state information, and the physical interpretation of the results shows that the spins can be divided into two sets.
Damage spreading and ferromagnetic order in the three-dimensional ±J Edwards-Anderson spin glass model
- Physics
- 2010
Using information of the ground-state topology we show that the damage spreading technique unveils ferromagnetic order in the three-dimensional ±J Edwards-Anderson spin glass model. With…