Approximate domain Markov property for rigid Ising interfaces

DOI10.1007/s10955-023-03101-xzbMath1515.60308arXiv2010.10486OpenAlexW3094624687MaRDI QIDQ6110764

Reza Gheissari, Eyal Lubetzky

Publication date: 6 July 2023

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.10486

zbMATH Keywords

interfacerigidityIsing modelMarkov propertylow temperature

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Extrema of 3D Potts interfaces ⋮ Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor

Cites Work

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• Scaling limit and cube-root fluctuations in SOS surfaces above a wall
• Dynamics of \((2+1)\)-dimensional SOS surfaces above a wall: slow mixing induced by entropic repulsion
• The shape of the \((2+1)\)D SOS surface above a wall
• Non-translation invariant Gibbs states with coexisting phases. I: Existence of sharp interface for Widom-Rowlinson type lattice models in three dimensions
• Non-translation invariant Gibbs states with coexisting phases. II: Cluster properties and surface tension
• Localization and delocalization of random interfaces
• Large deviations and continuum limit in the 2D Ising model
• Rigidity of the interface in percolation and random-cluster models
• Ornstein-Zernike theory for finite range Ising models above \(T_c\)
• Rigidity of interfaces in the Falicov-Kimball model
• Interface, surface tension and reentrant pinning transition in the \(2\)D Ising model
• Tightness and tails of the maximum in 3D Ising interfaces
• Ising model in half-space: a series of phase transitions in low magnetic fields
• Surface tension, step free energy, and facets in the equilibrium crystal
• Harmonic pinnacles in the discrete Gaussian model
• Investigation of Gibbsian States for Three-Dimensional Lattice Systems
• Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model
• Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions
• Maximum and Shape of Interfaces in 3D Ising Crystals

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