LONG-TIME REGIME AND SCALING OF CORRELATIONS IN A SIMPLE-MODEL WITH GLASSY BEHAVIOR

We investigate the long-time regime of a zero-temperature kinetic mode l with glassy behaviour, introduced recently. In this regime, the ener gy density and its two-time correlation function are found to have sim ple asymptotic expressions with logarithmic corrections, which we deri ve exactly. In particular, the energy correlation function exhibits ag eing. Its scaling form reads C(t, t(w)) approximate to root t(w)/t, wi th a large correction in 1/lnt(w). We also find that a closely related model, with faster relaxation of the energy, leads to the same asympt otic scaling form for the two-time correlation, with much smaller corr ections.