On the critical exponent α of the 5D random-field Ising model

Nikolaos Fytas, Victor Martin-Mayor, Giorgio Parisi, Marco Picco, Nicolas Sourlas

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    4 Citations (Scopus)
    31 Downloads (Pure)

    Abstract

    We present a complementary estimation of the critical exponent α of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result α = 0.12(2) is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at D = 5.

    Original languageEnglish
    Article number093203
    Number of pages11
    JournalJournal of Statistical Mechanics: Theory and Experiment
    Volume2019
    Issue number9
    DOIs
    Publication statusPublished - 3 Sept 2019

    Bibliographical note

    This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Statistical Mechanics: Theory and Experiment IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://dx.doi.org/10.1088/1742-5468/ab3987

    Keywords

    • classical phase transitions
    • critical exponents and amplitudes
    • finite-size scaling
    • numerical simulations

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Statistics, Probability and Uncertainty

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