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Asymptotics of even-even correlations in the Ising model

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Published in Probability Theory and Related Fields. 2019, vol. 175, p. 309-340
Abstract We consider finite-range ferromagnetic Ising models on Z^d in the regime beta < beta_c. We analyze the behavior of the prefactor to the exponential decay of Cov(sigma_A,sigma_B), for arbitrary finite sets A and B of even cardinality, as the distance between A and B diverges.
Keywords Ising modelOrnstein-Zernike asymptoticsDecay of correlationsPower-law correctionsEven-even correlations
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arXiv: 1804.08323
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OTT, Sébastien, VELENIK, Yvan. Asymptotics of even-even correlations in the Ising model. In: Probability Theory and Related Fields, 2019, vol. 175, p. 309-340. doi: 10.1007/s00440-018-0890-5 https://archive-ouverte.unige.ch/unige:104016

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Deposited on : 2018-05-02

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