Dynamic critical behavior of the Swendsen-Wang algorithm: The two-dimensional three-state potts model revisited

Jesús Salas, 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 two-dimensional three-state Potts model. We find that the Li-Sokal bound (τint,δ ≥ const × CH) is almost but not quite sharp. The ratio τint,δ/CH, seems to diverge either as a small power (≈0.08) or as a logarithm.

    Original languageEnglish (US)
    Pages (from-to)1-36
    Number of pages36
    JournalJournal of Statistical Physics
    Volume87
    Issue number1-2
    DOIs
    StatePublished - Apr 1997

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    Keywords

    • Cluster algorithm
    • Dynamic critical phenomena
    • Li-Sokal bound
    • Monte Carlo
    • Potts model
    • Swendsen Wang algorithm

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics

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