Asymptotics of even-even correlations in the Ising model

Ott, Sébastien; Velenik, Yvan

doi:10.1007/s00440-018-0890-5

Scientific article

English

Asymptotics of even-even correlations in the Ising model

ContributorsOtt, Sébastien; Velenik, Yvan

Published inProbability Theory and Related Fields, vol. 175, p. 309-340

Publication date2019

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 model
Ornstein-Zernike asymptotics
Decay of correlations
Power-law corrections
Even-even correlations

Classification

arxiv : math.PR

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

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

Article (Submitted version)

Identifiers

PID : unige:104016
DOI : 10.1007/s00440-018-0890-5
arXiv : 1804.08323

Commercial URLhttps://link.springer.com/article/10.1007%2Fs00440-018-0890-5

Journal ISSN1432-2064

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Creation30/04/2018 12:00:00

First validation30/04/2018 12:00:00

Update time15/03/2023 09:11:23

Status update15/03/2023 09:11:23

Last indexation31/10/2024 11:10:36

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Asymptotics of even-even correlations in the Ising model

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.

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