Aging in Spin Glasses in three, four and infinite dimensions

Abstract

The SUE machine is used to extend by a factor of 1000 the time-scale of previous studies of the aging, out-of-equilibrium dynamics of the Edwards-Anderson model with binary couplings, on large lattices (L=60). The correlation function, $C(t+t_w,t_w)$, $t_w$ being the time elapsed under a quench from high-temperature, follows nicely a slightly-modified power law for $t>t_w$. Very tiny (logarithmic), yet clearly detectable deviations from the full-aging $t/t_w$ scaling can be observed. Furthermore, the $t<t_w$ data shows clear indications of the presence of more than one time-sector in the aging dynamics. Similar results are found in four-dimensions, but a rather different behaviour is obtained in the infinite-dimensional $z=6$ Viana-Bray model. Most surprisingly, our results in infinite dimensions seem incompatible with dynamical ultrametricity. A detailed study of the link correlation function is presented, suggesting that its aging-properties are the same as for the spin correlation-function.

J.P.A special issue on glasses and spin-glasses. Some improvements in citations over printed version

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Cited by in corpus (10)

• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• Nonequilibrium spin glass dynamics from picoseconds to 0.1 seconds
• Nature of the spin-glass phase at experimental length scales
• Aging Dynamics of the Heisenberg Spin Glass
• Reconfigurable computing for Monte Carlo simulations: results and prospects of the Janus project
• Overlap Equivalence in the Edwards-Anderson Model
• Asymptotic aging in structural glasses
• On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance
• Domain growth within the backbone of the three-dimensional $\pm J$ Edwards-Anderson spin glass
• Spin-glass dynamics: experiment, theory and simulation