Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model

Jesús Salas, Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    We analyze the scaling and finite-size-scaling behavior of the two-dimensional 4-state Potts model. We find new multiplicative logarithmic corrections for the susceptibility, in addition to the already known ones for the specific heat. We also find additive logarithmic corrections to scaling, some of which are universal. We have checked the theoretical predictions at criticality and off criticality by means of high-precision Monte Carlo data.

    Original languageEnglish (US)
    Pages (from-to)567-615
    Number of pages49
    JournalJournal of Statistical Physics
    Volume88
    Issue number3-4
    StatePublished - Aug 1997

    Fingerprint

    Potts Model
    Finite-size Scaling
    Criticality
    Logarithmic
    scaling
    Corrections to Scaling
    Specific Heat
    Scaling Behavior
    Susceptibility
    Multiplicative
    Scaling
    Prediction
    specific heat
    magnetic permeability
    predictions

    Keywords

    • Ashkin-Teller model
    • Cluster algorithm
    • Corrections to scaling
    • Critical phenomena
    • Finite-size scaling
    • Logarithmic corrections
    • Monte Carlo
    • Potts model
    • Renormalization group
    • Scaling
    • Swendsen-Wang algorithm

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Statistical and Nonlinear Physics

    Cite this

    Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model. / Salas, Jesús; Sokal, Alan D.

    In: Journal of Statistical Physics, Vol. 88, No. 3-4, 08.1997, p. 567-615.

    Research output: Contribution to journalArticle

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