Simulations without critical slowing down: Ising and three-state Potts models

We have developed a novel simulation method that combines a multigrid technique with a stochastic blocking procedure. Our algorithm eliminates critical slowing down completely, as we demonstrated previously by simulating the two-dimensional Ising model at criticality. Here we describe results of much more extensive simulations of the two-dimensional Ising and three-state Potts models and provide a heuristic argument to explain why our method works.