INVADED CLUSTER ALGORITHM FOR EQUILIBRIUM CRITICAL-POINTS

A new cluster algorithm based on invasion percolation is described. Th e algorithm samples the critical point of a spin system without a prio ri knowledge of the critical temperature and provides an efficient way to determine the critical temperature and other observables in the cr itical region. The method is illustrated for the two- and three-dimens ional Ising models. The algorithm equilibrates spin configurations muc h faster than the closely related Swendsen-Wang algorithm.