On the probability of staying above a wall for the \((2+1)\)-dimensional SOS model at low temperature

DOI10.1007/s00440-015-0658-0zbMath1345.60112arXiv1406.1206OpenAlexW3099457103MaRDI QIDQ892167

Fabio Martinelli, Pietro Caputo, Fabio Lucio Toninelli

Publication date: 18 November 2015

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

Full work available at URL: https://arxiv.org/abs/1406.1206

zbMATH Keywords

large deviationsloop ensemblesrandom surface modelsSOS modelentropic repulsion

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)

Related Items (6)

Wetting and layering for solid-on-solid I: identification of the wetting point and critical behavior ⋮ Entropic repulsion in \(|\nabla \phi |^p\) surfaces: a large deviation bound for all \(p\geq 1\) ⋮ Scaling limit for line ensembles of random walks with geometric area tilts ⋮ Formation of Facets for an Effective Model of Crystal Growth ⋮ Dyson Ferrari-Spohn diffusions and ordered walks under area tilts ⋮ Interaction versus entropic repulsion for low temperature Ising polymers

Cites Work

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• Cluster expansion for abstract polymer models
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• Large deviations and concentration properties for \(\nabla_\varphi \) interface models
• Entropic repulsion and the maximum of the two-dimensional harmonic crystal.
• Entropic repulsion for massless fields.
• Entropic repulsion of the lattice free field
• Harmonic pinnacles in the discrete Gaussian model

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