Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions

zbMath1414.60079arXiv1611.00658MaRDI QIDQ5376436

Yvan Velenik, Dimitry Ioffe

Publication date: 17 September 2018

Full work available at URL: https://arxiv.org/abs/1611.00658

zbMATH Keywords

layeringground stateslevel linesfacetingrandom interfacesDoob transformDyson-Ferrari-Spohn diffusionseffective random walkslattice models of phase segregationpolymers with area tiltsprewtting

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Functional limit theorems; invariance principles (60F17)

Related Items (17)

Critical prewetting in the 2d Ising model ⋮ Surface transition in the collapsed phase of a self-interacting walk adsorbed along a hard wall ⋮ Confinement of Brownian polymers under geometric area tilts ⋮ Geometrical optics of constrained Brownian motion: three short stories ⋮ Solid-on-solid interfaces with disordered pinning ⋮ Wetting and layering for solid-on-solid I: identification of the wetting point and critical behavior ⋮ Typical height of the \((2+1)\)-D solid-on-solid surface with pinning above a wall in the delocalized phase ⋮ Approximate domain Markov property for rigid Ising interfaces ⋮ Wetting on a wall and wetting in a well: overview of equilibrium properties ⋮ Scaling limit for line ensembles of random walks with geometric area tilts ⋮ Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor ⋮ Tightness and Line Ensembles for Brownian Polymers Under Geometric Area Tilts ⋮ Formation of Facets for an Effective Model of Crystal Growth ⋮ Local and global geometry of the 2D Ising interface in critical prewetting ⋮ Constrained non-crossing Brownian motions, fermions and the Ferrari–Spohn distribution ⋮ Wetting and layering for solid-on-solid. II: Layering transitions, Gibbs states, and regularity of the free energy ⋮ Geometrical optics of constrained Brownian excursion: from the KPZ scaling to dynamical phase transitions

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