11 papers
Ground state numerical study of the three-dimensional random field Ising model
Ilija Dukovski, Jon Machta
The random field Ising model in three dimensions with Gaussian random fields is studied at zero temperature for system sizes up to 60^3. For each realization of the normalized rand…
Invaded cluster simulations of the XY model in two and three dimensions
I. Dukovski, J. Machta, L. Chayes
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…
Critical dynamics of two-replica cluster algorithms
Xuenan Li, Jon Machta
The dynamic critical behavior of the two-replica cluster algorithm is studied. Several versions of the algorithm are applied to the two-dimensional, square lattice Ising model with…
New algorithm and results for the three-dimensional random field Ising Model
Jon Machta, Mark Newman, Lincoln Chayes
The random field Ising model with Gaussian disorder is studied using a new Monte Carlo algorithm. The algorithm combines the advantanges of the replica exchange method and the two-…
Cluster Monte Carlo study of multi-component fluids of the Stillinger-Helfand and Widom-Rowlinson type
Rongfeng Sun, Harvey Gould, Jon Machta +1
Phase transitions of fluid mixtures of the type introduced by Stillinger and Helfand are studied using a continuum version of the invaded cluster algorithm. Particles of the same s…
Dynamic and static properties of the invaded cluster algorithm
K. Moriarty, J. Machta, L. Y. Chayes
Simulations of the two-dimensional Ising and 3-state Potts models at their critical points are performed using the invaded cluster (IC) algorithm. It is argued that observables mea…