Journal of Statistical Physics

, Volume 25, Issue 4, pp 679–694 | Cite as

Rigorous entropy-energy arguments

  • Barry Simon
  • Alan D. Sokal


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 couplingJ/n2.

Key words

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


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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Barry Simon
    • 1
  • Alan D. Sokal
    • 2
  1. 1.Department of MathematicsCalifornia Institute of TechnologyPasadena
  2. 2.Department of PhysicsPrinceton UniversityPrinceton

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