Off-Equilibrium Dynamics of a 4D Spin Glass with Asymmetric Couplings

TL;DR

This paper investigates the off-equilibrium dynamics of a 4D spin glass with asymmetric couplings, revealing how asymmetry influences aging behavior and relaxation regimes, with implications for understanding complex disordered systems.

Contribution

It introduces a detailed analysis of how asymmetry affects aging and relaxation in a 4D spin glass, extending understanding of non-hamiltonian perturbations in disordered systems.

Findings

For small asymmetry, the model behaves like the Hamiltonian case.

Large asymmetry leads to an interrupted aging scenario.

The autocorrelation scales as τ/t_w^β, with β depending on asymmetry.

Abstract

We study the off-equilibrium dynamics of the Edwards-Anderson spin glass in four dimensions under the influence of a non-hamiltonian perturbation. We find that for small asymmetry the model behaves as the hamiltonian one, while for large asymmetry the behaviour of the model can be well described by an interrupted aging scenario. The autocorrelation function C(t_w+\tau,t_w) scales as \tau/t_w^\beta, with \beta a function of the asymmetry. For very long waiting times the previous regime crosses over to a time translational invariant regime (TTI) with stretched exponential relaxation. The model does not show signs of reaching a TTI regime for weak asymmetry, but in the aging regime the exponent \beta is always different from one, showing a non trivial aging scenario.