Universal dynamical scaling in the clock model

Abstract

The development of order in the clock ($Z_N$) model is studied following a quench from a disordered phase to a low-temperature nonequilibrium state below the "ferromagnetic" critical point. The structure factor is shown to obey dynamic scaling for the two cases studied ($N=6\mathrm{} \mathrm{and} 26$) and to be remarkably insensitive to the underlying morphological structure. The scaling functions for both cases are essentially identical to that of the Ising antiferromagnet. The rate of growth of domains is also studied.