Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk. II

S. Caracciolo, A. Pelissetto, A. D. Sokal

    Research output: Contribution to journalArticlepeer-review

    Abstract

    By using a novel Monte Carlo algorithm which uses non-local moves to decrease the critical slowing-down, the authors simulate two-dimensional self-avoiding walks (SAWs) in a variable-length fixed-endpoint ensemble. This allows one to determine with reasonable accuracy the critical exponent alpha sing. As a byproduct, they obtain also accurate measurements of the exponent nu and the connective constant mu . They thus get a direct check of the hyperscaling relation dv=2- alpha sing. Estimates of alpha sing and mu are obtained by a maximum-likelihood fit which combines data generated at different fugacities.

    Original languageEnglish (US)
    Article number012
    Pages (from-to)4509-4517
    Number of pages9
    JournalJournal of Physics A: Mathematical and General
    Volume23
    Issue number20
    DOIs
    StatePublished - 1990

    ASJC Scopus subject areas

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

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