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

Jesús Salas, Alan D. Sokal

    Research output: Contribution to journalArticlepeer-review

    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
    DOIs
    StatePublished - Aug 1997

    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

    • Statistical and Nonlinear Physics
    • Mathematical Physics

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