Journal of Statistical Physics

, Volume 49, Issue 3–4, pp 433–445 | Cite as

Exponential decay of connectivities in the two-dimensional ising model

  • J. T. Chayes
  • L. Chayes
  • R. H. Schonmann
Articles

Abstract

We prove some results concerning the decay of connectivities in the low-temperature phase of the two-dimensional Ising model. These provide the bounds necessary to establish, nonperturbatively, large-deviation properties for block magnetizations in these systems. We also obtain estimates on the rate at which the finite-volume, plus-boundary-condition expectation of the spin at the origin converges to the spontaneous magnetization.

Key words

Two-dimensional Ising model percolation exponential decay FK representation correlation lengths large deviations 

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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • J. T. Chayes
    • 1
    • 2
  • L. Chayes
    • 1
  • R. H. Schonmann
    • 2
  1. 1.Laboratory of Atomic and Solid State PhysicsCornell UniversityIthaca
  2. 2.Mathematical Sciences InstituteCornell UniversityIthaca

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