DOMAIN SCALING AND GLASSY DYNAMICS IN A ONE-DIMENSIONAL KAWASAKI ISING-MODEL

The one-dimensional spin-exchange kinetic Ising model is studied using approximations based on the motion of single spins. This metal exhibits domain-scaling behavior after a deep quench to low temperatures, with the same scaling exponent (1/3) as in higher dimensions. Under slow cooling, the kink density of this system is predicted to freeze at a value proportional to tau--1/z, where tau is the inverse cooling rate and z is the dynamic critical exponent (= 5) for "natural" cooling programs. The results of Monte Carlo simulations are found to compare favorably with these predictions. The residual temporal behavior in a frozen nonequilibrium state is studied in the short- and long-time regimes, approaching asymptotically a stretched-exponential form.