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 - Dec 1 1986

    ASJC Scopus subject areas

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

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