The Cluster Processor: New Results

Abstract

We present a progress report on the Cluster Processor, a special-purpose computer system for the Wolff simulation of the three-dimensional Ising model, including an analysis of simulation results obtained thus far. These results allow, within narrow error margins, a determination of the parameters describing the phase transition of the simple-cubic Ising model and its universality class. For an improved determination of the correction-to-scaling exponent, we include Monte Carlo data for systems with nearest-neighbor and third-neighbor interactions in the analysis.

14 pages, latex2e

Cited by in corpus (45)

• A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class
• 25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple cubic lattice
• Pushing the Limits of Monte Carlo Simulations for the 3d Ising Model
• Universality class of criticality in the restricted primitive model electrolyte
• Conjectures on exact solution of three - dimensional (3D) simple orthorhombic Ising lattices
• Performance potential for simulating spin models on GPU
• Simulating spin models on GPU
• Estimation of critical behavior from the density of states in Classical Statistical Models
• Asymmetric Fluid Criticality II: Finite-Size Scaling for Simulations
• Self-dual random-plaquette gauge model and the quantum toric code
• Restoring isotropy in a three-dimensional lattice model: The Ising universality class
• Error estimation and reduction with cross correlations
• Dynamic critical behavior of the Swendsen--Wang Algorithm for the three-dimensional Ising model
• Cross-correlations in scaling analyses of phase transitions
• Critical structure factor in Ising systems
• Connected component identification and cluster update on GPU
• Three Dimensional Ising Model, Percolation Theory and Conformal Invariance
• GPU accelerated Monte Carlo simulations of lattice spin models
• Anisotropy of the interface tension of the three-dimensional Ising model
• Ageing at the Spin-Glass/Ferromagnet Transition: Monte Carlo Simulation using GPUs
• Applicability of n-vicinity method for calculation of free energy of Ising model
• Monte Carlo critical isotherms for Ising lattices
• Temperature-extended Jarzynski relation: Application to the numerical calculation of the surface tension
• Parallel-tempering cluster algorithm for computer simulations of critical phenomena
• Geometric Properties of the Three-Dimensional Ising and XY Models
• Systematic errors due to linear congruential random-number generators with the Swendsen-Wang algorithm: A warning
• Monte Carlo study of the scaling of universal correlation lengths in three-dimensional O(n) spin models
• Dynamic structure factor of the Ising model with purely relaxational dynamics
• Higher orders of the high-temperature expansion for the Ising model in three dimensions
• Dependence of critical parameters of 2D Ising model on lattice size
• Two-dimensional Super-roughening in Three-dimensional Ising Model
• Effective string picture for confinement at finite temperature: theoretical predictions and high precision numerical results
• Approximate method of free energy calculation for spin system with arbitrary connection matrix
• Continuous demixing transition of binary liquids: finite-size scaling from the analysis of sub-systems
• Excitations of Ising Strings on a Lattice
• Renormalization group for the ${\phi }^4$-theory with long-range interaction and the critical exponent $\eta$ of the Ising model
• New algorithm of the high-temperature expansion for the Ising model in three dimensions
• Identification of the critical temperature from non-equilibrium time-dependent quantities
• Universality in the partially anisotropic three-dimensional Ising lattice
• Massively parallel simulations for disordered systems
• Ising-like phase transition of an n-component Eulerian face-cubic model
• Massive-Scale Simulations of 2D Ising and Blume-Capel Models on Rack-Scale Multi-GPU Systems
• A cluster Monte Carlo algorithm with a conserved order parameter
• Ising models on the hydrogen peroxide and other lattices
• Special Purpose Computers for Statistical Physics: achievements and lessons