Systematic errors due to linear congruential random-number generators with the Swendsen-Wang algorithm: A warning

Giovanni Ossola, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    The evidence for systematic errors that occur due to linear congruential random number generators and the diagnosis of their origin were presented. The implementation of Swendsen-Wang algorithms was also modified to eliminate these systematic errors. The errors arised from correlations within a single bond-update half-sweep. They can be eliminated by updating the bonds in a random order or in aperiodic manner.

    Original languageEnglish (US)
    Article number027701
    Pages (from-to)027701-1-027701-4
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume70
    Issue number2 2
    DOIs
    StatePublished - Aug 2004

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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