Communications in Mathematical Physics

, Volume 51, Issue 3, pp 315–323 | Cite as

Percolation and phase transitions in the Ising model

  • Antonio Coniglio
  • Chiara Rosanna Nappi
  • Fulvio Peruggi
  • Lucio Russo


We give a description of the mechanism of phase transitions in the Ising model, pointing out the connection between the spontaneous magnetization and the existence of infinite clusters of “up” and “down” spins. The picture is more complete in the two-dimensional Ising model, where we can also use a generalized version of a result by Miyamoto.


Neural Network Phase Transition Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Antonio Coniglio
    • 1
    • 2
  • Chiara Rosanna Nappi
    • 1
  • Fulvio Peruggi
    • 1
  • Lucio Russo
    • 1
    • 3
  1. 1.Istituto di Fisica TeoricaUniversità di NapoliNapoliItaly
  2. 2.C.N.R., Gruppo Nazionale di Struttura della MateriaItaly
  3. 3.C.N.R., Gruppo Nazionale di Fisica MatematicaItaly

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