Universality in four-dimensional random-field magnets

Nikolaos Fytas, P.E. Theodorakis

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    Abstract

    We investigate the universality aspects of the four-dimensional random-field Ising model (RFIM) using numerical simulations at zero temperature. We consider two different, in terms of the field distribution, versions of the model, namely a Gaussian RFIM and an equal-weight trimodal RFIM. By implementing a computational approach that maps the ground-state of the system to the maximum-flow optimization problem of a network, we employ the most up-to-date version of the push-relabel algorithm and simulate large ensembles of disorder realizations of both models for a broad range of random-field values and system sizes. Using as finite-size measures the sample-to-sample fluctuations of the order parameter of the system, we propose, for both types of distributions, estimates of the critical field h c and the critical exponent ν of the correlation length, the latter suggesting that the two models in four dimensions share the same universality class.
    Original languageEnglish
    Pages (from-to)205
    JournalEuropean Physical Journal B
    Volume88
    DOIs
    Publication statusPublished - 10 Aug 2015

    Bibliographical note

    The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2015-60362-4

    Keywords

    • Statistical and Nonlinear Physics

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