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

S. Caracciolo, A. D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    The authors simulated self-avoiding walks on the square lattice with fixed endpoints by means of a dynamic Monte Carlo algorithm. From these data they obtain an evaluation of the effective coordination number mu and the critical exponents alpha and v. They can therefore test the hyperscaling relation 2- alpha =dv with a careful estimate of systematic and statistical errors.

    Original languageEnglish (US)
    Article number040
    Pages (from-to)2569-2576
    Number of pages8
    JournalJournal of Physics A: Mathematical and General
    Volume20
    Issue number9
    DOIs
    StatePublished - 1987

    Fingerprint

    Monte Carlo Test
    Dynamic Algorithms
    Self-avoiding Walk
    Monte Carlo Algorithm
    coordination number
    Square Lattice
    systematic errors
    Critical Exponents
    exponents
    evaluation
    Evaluation
    estimates
    Estimate

    ASJC Scopus subject areas

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

    Cite this

    Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk. / Caracciolo, S.; Sokal, A. D.

    In: Journal of Physics A: Mathematical and General, Vol. 20, No. 9, 040, 1987, p. 2569-2576.

    Research output: Contribution to journalArticle

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