Connective constant of the self-avoiding walk on the triangular lattice

A. J. Guttmann, T. R. Osborn, A. D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    The author uses a recently developed Monte Carlo method to study the connective constant of the self-avoiding walk (SAW) on the triangular lattice. Assuming gamma =43/32 one finds mu T=4.15096+or-0.00010+or-0.00026 (95% confidence limits) and mu T=4.15096+or-0.00020+or-0.00037 (99% confidence limits), where the first error bar represents systematic error due to corrections to scaling and the second error bar represents statistical error. This rules out the conjecture mu T+ mu H=6 at the greater than 99% confidence level.

    Original languageEnglish (US)
    Article number024
    Pages (from-to)2591-2598
    Number of pages8
    JournalJournal of Physics A: Mathematical and General
    Volume19
    Issue number13
    DOIs
    StatePublished - 1986

    Fingerprint

    Self-avoiding Walk
    Triangular Lattice
    confidence limits
    Confidence Limits
    Corrections to Scaling
    Systematic Error
    Systematic errors
    Confidence Level
    Error correction
    systematic errors
    Monte Carlo method
    confidence
    Monte Carlo methods
    scaling

    ASJC Scopus subject areas

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

    Cite this

    Connective constant of the self-avoiding walk on the triangular lattice. / Guttmann, A. J.; Osborn, T. R.; Sokal, A. D.

    In: Journal of Physics A: Mathematical and General, Vol. 19, No. 13, 024, 1986, p. 2591-2598.

    Research output: Contribution to journalArticle

    Guttmann, A. J. ; Osborn, T. R. ; Sokal, A. D. / Connective constant of the self-avoiding walk on the triangular lattice. In: Journal of Physics A: Mathematical and General. 1986 ; Vol. 19, No. 13. pp. 2591-2598.
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