Log-Poisson statistics and full aging in glassy systems

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 $t_{\ab{w}}$. Analytical implications for the residence time distributions as a function of $t_{\ab{w}}$ and the correlation functions are derived. These are verified by extensive numerical studies of short-range Ising spin glasses