AGING AND EFFECTIVE TEMPERATURES IN THE LOW-TEMPERATURE MODE-COUPLINGEQUATIONS

The low-temperature generalization of the mode-coupling equations corr esponds to the dynamics of mean-field disordered models in the glassy phase. The system never achieves equilibrium, preserving the memory of the time elapsed after the quench throughout its evolution. A concept of effective temperature can be made quite rigorous in this context b y considering readings of thermometers in different time-scales and th e thermalization of weakly coupled subsystems.