Rigorous entropy-energy arguments

Barry Simon, Alan D. Sokal

    Research output: Contribution to journalArticlepeer-review


    We present a method for making rigorous various arguments which predict that certain situations are unstable because of a balance of energy vs. entropy. As applications, we give yet another proof that the two-dimensional plane rotor has no spontaneous magnetization and we make rigorous Thouless' arguments on the one-dimensional Ising model with coupling J/n2.

    Original languageEnglish (US)
    Pages (from-to)679-694
    Number of pages16
    JournalJournal of Statistical Physics
    Issue number4
    StatePublished - Aug 1981


    • Entropy
    • Ising model
    • Thouless effect
    • one-dimensional models
    • phase transitions
    • plane rotor
    • spin systems
    • symmetry breaking
    • two-dimensional models

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics


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