Aging Relation for Ising Spin Glasses

Abstract

We derive a rigorous dynamical relation on aging phenomena -- the aging relation -- for Ising spin glasses using the method of gauge transformation. The waiting-time dependence of the auto-correlation function in the zero-field-cooling process is equivalent with that in the field-quenching process. There is no aging on the Nishimori line; this reveals arguments for dynamical properties of the Griffiths phase and the mixed phase. The present method can be applied to other gauge-symmetric models such as the XY gauge glass.

9 pages, RevTeX, 2 postscript figures

References in corpus (3)

• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
• Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model

Cited by in corpus (9)

• Performance of simulated annealing in p-spin glasses
• Glassy dynamics as a melting process (On melting dynamics and the glass transition, Part II)
• Glassy aspects of melting dynamics (On melting dynamics and the glass transition, Part I)
• An Ising-Glauber Spin Cluster Model for Temperature Dependent Magnetization Noise in SQUIDs
• Dynamical Gauge Theory for the XY Gauge Glass Model
• 1/f Flux Noise in low-T${}_c$ SQUIDs due to Superparamagnetic Phase Transitions in Defect Clusters
• Nonequilibrium relations in spin glasses
• Toward mean-field bound for critical temperature on Nishimori line
• Complex and Non-Complex Phase Structures in Models of Spin Glasses and Information Processing