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math-ph2021
Ornstein-Zernike behavior for Ising models with infinite-range interactions
Yacine Aoun, Sébastien Ott, Yvan Velenik
We prove Ornstein-Zernike behavior for the large-distance asymptotics of the two-point function of the Ising model above the critical temperature under essentially optimal assumpti…
cond-mat.stat-mech2021★ 4 cited
Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density
Y. Aoun, D. Ioffe, S. Ott +1
We report on recent results that show that the pair correlation function of systems with exponentially decaying interactions can fail to exhibit Ornstein-Zernike asymptotics at all…