On the two-point function of the Ising model with infinite-range interactions
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Publication:6087834
DOI10.1007/s10955-023-03175-7arXiv2302.13044OpenAlexW4388199438MaRDI QIDQ6087834
Publication date: 16 November 2023
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.13044
percolationIsing modelFK percolationOrnstein-Zernikesaturation transitionOrnstein-Zernike asymptotics
Quantum field theory; related classical field theories (81Txx) Equilibrium statistical mechanics (82Bxx) Special processes (60Kxx)
Cites Work
- Statistical mechanical methods in particle structure analysis of lattice field theories. II. Scalar and surface models
- Random currents expansion of the Ising model
- Sharp phase transition for the random-cluster and Potts models via decision trees
- Correction to: ``A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
- Sharp asymptotics for the truncated two-point function of the Ising model with a positive field
- Non-analyticity of the correlation length in systems with exponentially decaying interactions
- Power-law bounds for critical long-range percolation below the upper-critical dimension
- Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature
- On the Ornstein-Zernike behaviour for the supercritical random-cluster model on \(\mathbb {Z}^{d}\), \(d\geq 3\)
- Strong renewal theorems and local large deviations for multivariate random walks and renewals
- New critical exponent inequalities for percolation and the random cluster model
- On the two-point function of the Potts model in the saturation regime
- Multidimensional Random Polymers: A Renewal Approach
- Statistical Mechanics of Lattice Systems
- Sharp hierarchical upper bounds on the critical two-point function for long-range percolation on Zd
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