Critical Slowing Down in the Kinetic Ising Model; Evidence for the Failure of the Dynamical Scaling Hypothesis

Abstract

We report computer simulations of critical slowing down in a two-dimensional kinetic Ising system consisting of a square $n\times n$ lattice with periodic boundary conditions. The results for the divergence of the relaxation times disagree with the predictions of the dynamical scaling hypothesis and with recent estimates obtained from a high-temperature expansion method.