AGING IN THE ONE-DIMENSIONAL ISING-MODEL WITH GLAUBER DYNAMICS

We study the zero-temperature limit of the one-dimensional Ising model with nearest-neighbor interactions and Glauber dynamics. An exact evo lution equation is derived for the spin-spin two-time correlation func tions following an instantaneous quench from equilibrium at low temper ature. In the limit of long waiting times the correlations become inde pendent of the distance and reduce to the autocorrelation function, wh ich exhibits aging, i.e. it decays over a time which scale with the wa iting time.