Communications in Mathematical Physics

, Volume 86, Issue 3, pp 375–390 | Cite as

Translation invariant equilibrium states of ferromagnetic Abelian lattice systems

  • Charles-Edouard Pfister


The structure of the set of all translation invariant equilibrium states is determined for all temperatures, for which the free energy is differentiable. Models with several phase transitions are discussed rigorously.


Neural Network Phase Transition Free Energy Statistical Physic Equilibrium State 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Charles-Edouard Pfister
    • 1
  1. 1.Département de MathématiquesEcole Polytechnique FédéraleLausanneSuisse

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