Structure and evolution of quenched Ising clusters

Abstract

The properties of domains generated following a quench from very high temperatures (TTc) to low temperatures are studied for an Ising model evolving under conserved or nonconserved dynamics. Before the quench the clusters satisfy percolation statistics, since T is too large for the interactions to be relevant. However, after the quench to low temperatures, we observe that the largest clusters are still percolationlike for large distances in that they are described by the same Hausdorff dimension as percolation clusters. For short distances the clusters are compact. At intermediate distances, the large clusters appear to be more fractal than percolation clusters. We interpret this intermediate regime as a crossover between a constant density at short distances and percolationlike low-density regime for large distances, not as a new type of fractal. © 1984 The American Physical Society.