Mean-field bounds and correlation inequalities

Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    I prove a new correlation inequality for a class of N-component classical ferromagnets (1≤N≤4). This inequality implies that the correlation functions decay exponentially and the spontaneous magnetization is zero, above the mean-field critical temperature.

    Original languageEnglish (US)
    Pages (from-to)431-439
    Number of pages9
    JournalJournal of Statistical Physics
    Volume28
    Issue number3
    DOIs
    StatePublished - Jul 1982

    Fingerprint

    Correlation Inequalities
    Ferromagnet
    Critical Temperature
    Magnetization
    Mean Field
    Correlation Function
    Decay
    Imply
    Zero
    critical temperature
    magnetization
    decay
    Class

    Keywords

    • correlation inequalities
    • critical temperature
    • Gaussian model
    • GHS inequality
    • Lebowitz inequality
    • Mean-field theory

    ASJC Scopus subject areas

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

    Cite this

    Mean-field bounds and correlation inequalities. / Sokal, Alan D.

    In: Journal of Statistical Physics, Vol. 28, No. 3, 07.1982, p. 431-439.

    Research output: Contribution to journalArticle

    Sokal, Alan D. / Mean-field bounds and correlation inequalities. In: Journal of Statistical Physics. 1982 ; Vol. 28, No. 3. pp. 431-439.
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