  If quenched to zero temperature, the one-dimensional Ising spin chain
undergoes coarsening, whereby the density of domain walls decays algebraically
in time. We show that this coarsening process can be interrupted by exerting a
rapidly oscillating periodic field with enough strength to compete with the
spin-spin interaction. By analyzing correlation functions and the distribution
of domain lengths both analytically and numerically, we observe nontrivial
correlation with more than one length scale at the threshold field strength.
