Weak-ergodicity breaking in mean-field spin-glass models
  We review the long-time off-equilibrium dynamical behaviour of two representative mean-field spin-glass models, namely the $p$-spin spherical and the Sherrington-Kirkpatrick models. We show how both models capture aging phenomena but with rather different characteristics. We discuss a scenario that allows for interpreting our results. 
L. F. Cugliandolo and J. Kurchan