Log-Poisson statistics and full aging in glassy systems

TL;DR

This paper proposes that Poisson statistics in logarithmic time effectively models the aging dynamics in glassy systems, linking attractor geometry to observable residence times and correlations, supported by numerical simulations.

Contribution

It introduces a Poisson log-time framework for aging in glassy systems and derives analytical predictions validated by numerical experiments.

Findings

Residence time distributions depend on system age

Correlation functions follow from the Poisson model

Numerical results support the theoretical framework

Abstract

We argue that Poisson statistics in logarithmic time provides an idealized description of non-equilibrium configurational rearrangements in aging glassy systems. The description puts stringent requirements on the geometry of the metastable attractors visited at age $t_w$. Analytical implications for the residence time distributions as a function of $t_w$ and the correlation functions are derived. These are verified by extensive numerical studies of short range Ising spin glasses.