Communications in Mathematical Physics

, Volume 70, Issue 3, pp 243–269 | Cite as

Surface tension and phase transition for lattice systems

  • J. R. Fontaine
  • Ch. Gruber


We introduce the surface tension for arbitrary spin systems and study its general properties. In particular we show that for a large class of systems, the surface tension is zero at high temperature. We also derive a geometrical condition for the surface tension to be zero at all temperature. For discrete spin systems this condition becomes a criterion to establish the existence of a phase transition associated with surface tension. This criterion is illustrated on several examples.


Neural Network Phase Transition Statistical Physic Surface Tension Complex System 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • J. R. Fontaine
    • 1
  • Ch. Gruber
    • 2
  1. 1.Institut de Physique ThéoriqueUniversité Catholique de LouvainLouvain-la-NeuveBelgique
  2. 2.Laboratoire de Physique ThéoriqueEPFLLausanneSwitzerland

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