Aging Relation for Ising Spin Glasses
Yukiyasu Ozeki (Tokyo Insititute of Technology)
TL;DR
This paper derives a rigorous aging relation for Ising spin glasses, revealing equivalences in aging phenomena across different processes and identifying no aging on the Nishimori line, with implications for understanding phases like Griffiths and mixed phases.
Contribution
It introduces a gauge transformation-based method to establish a dynamical aging relation in Ising spin glasses, applicable to other gauge-symmetric models.
Findings
Aging relation links auto-correlation functions in different processes.
No aging observed on the Nishimori line.
Method applicable to models like XY gauge glass.
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.
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