Frequency-domain study of relaxation in a spin glass model for the structural glass transition

We have computed the time-dependent susceptibility for the finite-size mean. field random orthogonal model (ROM). We find that for temperatures above the mode-coupling temperature, the imaginary part of the susceptibility chi"(nu) obeys the scaling forms proposed for glass-forming liquids. Furthermore, as the temperature is lowered the peak frequency of chi" decreases, following a Vogel-Fulcher law with a critical temperature remarkably close to the known critical temperature T(c), where the configurational entropy vanishes.