title: Invaded cluster simulations of the XY model in two and three dimensions.
abstract: The invaded cluster algorithm is used to study the XY model in two and three dimensions up to sizes 2000(2) and 120(3), respectively. A soft spin O(2) model, in the same universality class as the three-dimensional XY model, is also studied. The static critical properties of the model and the dynamical properties of the algorithm are reported. The results are K(c)=0.454 12(2) for the three-dimensional XY model and eta=0.037(2) for the three-dimensional XY universality class. For the two-dimensional XY model the results are K(c)=1.120(1) and eta=0.251(5). The invaded cluster algorithm does not show any critical slowing for the magnetization or critical temperature estimator for the two-dimensional or three-dimensional XY models.
authors.affiliation: Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003-3720, USA.
authors.forename: I
authors.initials: I
authors.lastname: Dukovski
authors.forename: J
authors.initials: J
authors.lastname: Machta
authors.forename: L V
authors.initials: LV
authors.lastname: Chayes