The effect of free boundary conditions on the Ising model in high dimensions

DOI10.1007/s00440-021-01041-9zbMath1489.60153arXiv2011.02814OpenAlexW3147204245MaRDI QIDQ2052701

Federico Camia, Charles M. Newman, Jian-Ping Jiang

Publication date: 26 November 2021

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02814

zbMATH Keywords

Ising modelfree boundary conditionssusceptibilityhigh dimensionscorrelation decaynear-critical

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (6)

Ising model with Curie-Weiss perturbation ⋮ Unwrapped two-point functions on high-dimensional tori ⋮ The near-critical two-point function and the torus plateau for weakly self-avoiding walk in high dimensions ⋮ High-dimensional near-critical percolation and the torus plateau ⋮ Weakly self-avoiding walk on a high-dimensional torus ⋮ Log‐Sobolev inequality for near critical Ising models

Cites Work

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• FK-Ising coupling applied to near-critical planar models
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• Lace expansion for the Ising model
• Mean-Field Bound on the 1-Arm Exponent for Ising Ferromagnets in High Dimensions
• Exponential Decay for the Near‐Critical Scaling Limit of the Planar Ising Model
• Restricted Percolation Critical Exponents in High Dimensions
• Planar Ising magnetization field. II: Properties of the critical and near-critical scaling limits

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