Dynamic critical behavior of the Swendsen - Wang algorithm for the three-dimensional Ising model

Giovanni Ossola, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    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.

    Original languageEnglish (US)
    Pages (from-to)259-291
    Number of pages33
    JournalNuclear Physics, Section B
    Volume691
    Issue number3
    DOIs
    StatePublished - Jul 26 2004

    Fingerprint

    Ising model
    autocorrelation
    confidence
    exponents
    intervals
    systematic errors
    critical point
    magnetic permeability
    scaling
    energy

    Keywords

    • Autocorrelation time
    • Cluster algorithm
    • Dynamic critical exponent
    • Ising model
    • Monte Carlo
    • Potts model
    • Swendsen-Wang algorithm

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Dynamic critical behavior of the Swendsen - Wang algorithm for the three-dimensional Ising model. / Ossola, Giovanni; Sokal, Alan D.

    In: Nuclear Physics, Section B, Vol. 691, No. 3, 26.07.2004, p. 259-291.

    Research output: Contribution to journalArticle

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