Dynamic critical exponent of some Monte Carlo algorithms for the self-avoiding walk

S. Caracciolo, A. D. Sokal

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Discusses the dynamic critical behavior of some Monte Carlo algorithms for the self-avoiding walk (SAW). For algorithms with local N-conserving elementary moves, it is argued that the autocorrelation time behaves as tau approximately Np with p approximately=2+2 nu . For the BFACF dynamics (a grand canonical algorithm), Monte Carlo data is presented indicating that p=2.2+or-0.5 for two-dimensional non-reversal random walks and p=3.0+or-0.4 for two-dimensional SAW, values which are significantly less than 2+2 nu.

    Original languageEnglish (US)
    Article number008
    Pages (from-to)L797-L805
    JournalJournal of Physics A: Mathematical and General
    Volume19
    Issue number13
    DOIs
    StatePublished - 1986

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Physics and Astronomy(all)

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