Long-Range Ordered Phases without Short-Range Correlations

We present results of Monte Carlo simulations of kinetics of spinodal ordering on a one-dimensional Ising chain with competing interactions up to third neighbors for Glauber and Kawasaki dynamics. Application of these results to the $2H-6H$ transformation in SiC shows that the arrested state of the transformation possesses long-range order but lacks short-range correlations.