UNIGE document Preprint
previous document  unige:157675  next document
add to browser collection
Title

Ornstein-Zernike behavior for Ising models with infinite-range interactions

Authors
Year 2021
Abstract 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 assumptions on the interaction. The main contribution of this work is that the interactions are not assumed to be of finite range. To the best of our knowledge, this is the first proof of OZ asymptotics for a nontrivial model with infinite-range interactions. Our results actually apply to the Green function of a large class of "self-repulsive in average" models, including a natural family of self-repulsive polymer models that contains, in particular, the self-avoiding walk, the Domb-Joyce model and the killed random walk. We aimed at a pedagogical and self-contained presentation.
Keywords Ising modelOrnstein-Zernike asymptoticsLong-range interactionsCorrelation lengthAnalyticityCoarse-grainingPolymers
Identifiers
Full text
Preprint (1.2 MB) - public document Free access
Structures
Citation
(ISO format)
AOUN, Yacine, OTT, Sébastien, VELENIK, Yvan. Ornstein-Zernike behavior for Ising models with infinite-range interactions. 2021. https://archive-ouverte.unige.ch/unige:157675

34 hits

6 downloads

Update

Deposited on : 2022-01-03

Export document
Format :
Citation style :