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Amenability and Phase Transition in the Ising Model

Author

Listed:
  • Johan Jonasson

    (Chalmers University of Technology)

  • Jeffrey E. Steif

Abstract

We consider the Ising model with external field h and coupling constant J on an infinite connected graph G with uniformly bounded degree. We prove that if G is nonamenable, then the Ising model exhibits phase transition for some h≠0 and some J

Suggested Citation

  • Johan Jonasson & Jeffrey E. Steif, 1999. "Amenability and Phase Transition in the Ising Model," Journal of Theoretical Probability, Springer, vol. 12(2), pages 549-559, April.
    • Handle: RePEc:spr:jotpro:v:12:y:1999:i:2:d:10.1023_a:1021690414168
    DOI: 10.1023/A:1021690414168
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    References listed on IDEAS

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    1. van den Berg, J. & Steif, J. E., 1994. "Percolation and the hard-core lattice gas model," Stochastic Processes and their Applications, Elsevier, vol. 49(2), pages 179-197, February.
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