ORNSTEIN-ZERNIKE THEORY FOR FINITE RANGE ISING MODELS ABOVE Tc

@inproceedings{Ioffe2002ORNSTEINZERNIKETF,
  title={ORNSTEIN-ZERNIKE THEORY FOR FINITE RANGE ISING MODELS ABOVE Tc},
  author={Dmitry Ioffe},
  year={2002}
}
We derive a precise Ornstein-Zernike asymptotic formula for the decay of the two-point function 〈σ0σx〉β in the general context of finite range Ising type models on Z. The proof relies in an essential way on the a-priori knowledge of the strict exponential decay of the two-point function and, by the sharp characterization of phase transition due to Aizenman, Barsky and Fernández, goes through in the whole of the high temperature region β < βc. As a byproduct we obtain that for every β < βc, the… CONTINUE READING

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