2004/02/17 by Giovanni Ossola, Alan D. Sokal · 1 citation
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #math-ph #math.MP
paper · pdf · doi:10.1016/j.nuclphysb.2004.04.026
published as Nucl.Phys. B691 (2004) 259-291 · LaTex2e, 39 pages including 5 figures
arxiv created 2004/02/17 · openalex publication_date 2004/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have performed a high-precision Monte Carlo study of the dynamic critical behavior of the Swendsen-Wang algorithm for the three-dimensional Ising model at the critical point. For the dynamic critical exponents associated to the integrated autocorrelation times of the "energy-like" observables, we find zint,N = zint,E = zint,E' = 0.459 +- 0.005 +- 0.025, where the first error bar represents statistical error (68% confidence interval) and the second error bar represents possible systematic error due to corrections to scaling (68% subjective confidence interval). For the "susceptibility-like" observables, we find zint,M2 = zint,S2 = 0.443 +- 0.005 +- 0.030. For the dynamic critical exponent associated to the exponential autocorrelation time, we find zexp ≈ 0.481. Our data are consistent with the Coddington-Baillie conjecture zSW = β/ν≈ 0.5183, especially if it is interpreted as referring to zexp.