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

S. Caracciolo, A. D. Sokal

    Research output: Contribution to journalArticlepeer-review

    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

    ASJC Scopus subject areas

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

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