Site-diluted Ising model in four dimensions

A. Gordillo-Guerrero, Ralph Kenna, J.J. Ruiz-Lorenzo

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    Abstract

    In the literature, there are five distinct fragmented sets of analytic predictions for the scaling behavior at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections are used to complete the scaling pictures for each set. A numerical approach is then used to confirm the leading scaling picture coming from these predictions and to discriminate between them at the level of logarithmic corrections.
    Original languageEnglish
    Article number031135
    JournalPhysical Review E
    Volume80
    Issue number3
    DOIs
    Publication statusPublished - 2009

    Bibliographical note

    © 2009 American Physical Society

    Keywords

    • scaling behavior
    • site-diluted Ising model

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