Exponential decay of connectivities in the two-dimensional ising model
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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 deviationsPreview
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© Plenum Publishing Corporation 1987