H. Rieger et al., NONEQUILIBRIUM DYNAMICS IN THE RANDOM BOND ISING CHAIN - A REMINISCENCE OF AGING IN SPIN-GLASSES, Physica. A, 210(3-4), 1994, pp. 326-340
Results of extensive Monte-Carlo simulations that investigate the out-
of-equilibrium dynamics of the one-dimensional Ising spin glass model
with a Gaussian bond-distribution are presented. At low enough tempera
tures a typical (interrupted) aging scenario is established as in two-
and similar to three-dimensional spin glass models. Since the underlyi
ng mechanism is a slow domain-growth we study in detail spatial correl
ations and the time-dependence of the domain- as well as kink-statisti
cs. We find that all correlation functions in time and in space as wel
l as the domain-size probability distribution function obey simple sca
ling laws.