Slab percolation for the Ising model

DOI10.1007/s00440-004-0391-6zbMath1071.82012arXivmath/0309300OpenAlexW2054432045MaRDI QIDQ1775520

Thierry Bodineau

Publication date: 3 May 2005

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

Full work available at URL: https://arxiv.org/abs/math/0309300

zbMATH Keywords

Fortuin-Kasteleyn representationIsingCoarse graining.model percolation

Mathematics Subject Classification ID

Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Quenched large deviations for simple random walks on percolation clusters including long-range correlations, Metastability in the dilute Ising model, Equality of critical parameters for percolation of Gaussian free field level sets, Finitary codings for gradient models and a new graphical representation for the six‐vertex model, Spatial mixing and the random‐cluster dynamics on lattices, Features of a spin glass in the random field Ising model, Large scale stochastic dynamics. Abstracts from the workshop held September 11--17, 2022, Low-temperature Ising dynamics with random initializations, A Note on Schramm’s Locality Conjecture for Random-Cluster Models, A coarse graining for the Fortuin-Kasteleyn measure in random media, Translation invariant Gibbs states for the Ising model, On the 2D Ising Wulff crystal near criticality, On the truncation of systems with non-summable interactions, The 2D-Ising model near criticality: a FK-percolation analysis, Gibbsianness and non-Gibbsianness in divide and color models, Locality of connective constants, Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature, On testing for parameters in Ising models, Colligative properties of solutions. I: Fixed concentrations

Cites Work

• On a sharp transition from area law to perimeter law in a system of random surfaces
• Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability
• Semi-infinite Ising model. II: The wetting and layering transitions.
• Convexity properties of the surface tension and equilibrium crystals
• On the continuity of the critical value for long range percolation in the exponential case
• Finite-size effects for the Potts model with weak boundary conditions
• Sharpness of the phase transition in percolation models
• On the Wulff crystal in the Ising model.
• Complete analyticity for 2D Ising completed
• Surface order large deviations for Ising, Potts and percolation models
• The stochastic random-cluster process and the uniqueness of random-cluster measures
• The Wulff construction in three and more dimensions
• The supercritical phase of percolation is well behaved
• Percolation
• Rigorous probabilistic analysis of equilibrium crystal shapes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item