DISTRIBUTION OF DOMAIN SIZES IN THE ZERO-TEMPERATURE GLAUBER DYNAMICSOF THE ONE-DIMENSIONAL POTTS-MODEL

For the zero temperature Glauber dynamics of the q-state Ports model, we calculate the exact distribution of domain sizes by mapping the pro blem on an exactly soluble one-species coagulation model (A+A-->A). In the long time limit, this distribution is universal and, from its (co mplicated) exact expression, we extract its behavior in various regime s. Our results are tested in a simulation and compared to the predicti ons of a simple approximation proposed recently. Considering the dynam ics of domain walls as a reaction-diffusion model A+A-->A with probabi lity (q-2)/(q-1) and A+A-->phi with probability 1/(q-1), we calculate the pair correlation function in the long time regime.