Aging Relation for Ising Spin Glasses
Disordered Systems and Neural Networks
2009-10-28 v1
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.
Cite
@article{arxiv.cond-mat/9612225,
title = {Aging Relation for Ising Spin Glasses},
author = {Yukiyasu Ozeki},
journal= {arXiv preprint arXiv:cond-mat/9612225},
year = {2009}
}
Comments
9 pages, RevTeX, 2 postscript figures