Aging in reversible dynamics of disordered systems. II. Emergence of the arcsine law in the random hopping time dynamics of the REM
arXiv:1008.3849
Abstract
Applying the new tools developed in [G1], we investigate the arcsine aging regime of the random hopping time dynamics of the REM. Our results are optimal in several ways. They cover the full time-scale and temperature domain where this phenomenon occurs. On this domain the limiting clock process and associated time correlation function are explicitly constructed. Finally, all convergence statements w.r.t. the law of the random environment are obtained in the strongest sense possible, except perhaps on the very last scales before equilibrium.
References in corpus (4)
- Aging in the random energy model
- Hopping in the Glass Configuration Space: Subaging and Generalized Scaling Laws
- Dynamical ultrametricity in the critical trap model
- Aging in reversible dynamics of disordered systems. I. Emergence of the arcsine law in Bouchaud's asymmetric trap model on the complete graph
Cited by in corpus (6)
- Convergence to extremal processes in random environments and extremal ageing in SK models
- Aging in reversible dynamics of disordered systems. I. Emergence of the arcsine law in Bouchaud's asymmetric trap model on the complete graph
- Scaling limits and aging for asymmetric trap models on the complete graph and K-processes
- Convergence of clock processes and aging in Metropolis dynamics of a truncated REM
- Aging of the Metropolis dynamics on the Random Energy Model
- Aging of asymmetric dynamics on the random energy model