Extended scaling in high dimensions

B. Berche, C. Chatelain, C. Dhall, Ralph Kenna, Robert Low, J-C. Walter

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    Abstract

    We apply and test the recently proposed “extended scaling” scheme in an analysis
    of the magnetic susceptibility of Ising systems above the upper critical dimension.
    The data are obtained by Monte Carlo simulations using both the conventional Wolff
    cluster algorithm and the Prokof ’ev-Svistunov worm algorithm. As already observed
    for other models, extended scaling is shown to extend the high-temperature critical
    scaling regime over a range of temperatures much wider than that achieved conventionally.
    It allows for an accurate determination of leading and sub-leading scaling
    indices, critical temperatures and amplitudes of the confluent corrections.
    Original languageEnglish
    Article numberP11010
    JournalJournal of Statistical Mechanics: Theory and Experiment
    Volume2008
    Issue numberNovember
    DOIs
    Publication statusPublished - 2008

    Keywords

    • classical phase transitions
    • Monte Carlo methods
    • statistical physics and nonlinear systems
    • computational physics
    • condensed matter

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