Universal amplitude ratios in the Ising model in three dimensions

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

    Research output: Contribution to journalArticle

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    Abstract

    We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A + /A − in the three-dimensional Ising model via the impact angle phgr of complex temperature zeros. We also measure the correlation-length critical exponent ν from finite-size scaling and the specific-heat exponent α through hyperscaling. Extrapolations to the thermodynamic limit yield phgr = 59.2(1.0)°, A + /A − = 0.56(3), ν = 0.630 48(32) and α = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values.
    Original languageEnglish
    Article numberP09019
    JournalJournal of Statistical Mechanics: Theory and Experiment
    Volume2011
    DOIs
    Publication statusPublished - 20 Sep 2011

    Fingerprint

    Specific Heat
    Ising model
    Ising Model
    Three-dimension
    specific heat
    exponents
    Finite-size Scaling
    Thermodynamic Limit
    Correlation Length
    Extrapolation
    Critical Exponents
    extrapolation
    Monte Carlo Simulation
    Exponent
    scaling
    Angle
    Three-dimensional
    thermodynamics
    Zero
    estimates

    Bibliographical note

    This is an author-created, un-copyedited version of an article 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 http://dx.doi.org/10.1088/1742-5468/2011/09/P09019.

    Cite this

    Universal amplitude ratios in the Ising model in three dimensions. / Gordillo-Guerrero, A.; Kenna, Ralph; Ruiz-Lorenzo, J. J.

    In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, P09019, 20.09.2011.

    Research output: Contribution to journalArticle

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    AU - Ruiz-Lorenzo, J. J.

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    AB - We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A + /A − in the three-dimensional Ising model via the impact angle phgr of complex temperature zeros. We also measure the correlation-length critical exponent ν from finite-size scaling and the specific-heat exponent α through hyperscaling. Extrapolations to the thermodynamic limit yield phgr = 59.2(1.0)°, A + /A − = 0.56(3), ν = 0.630 48(32) and α = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values.

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