Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger

DOI10.1063/1.533184zbMath0977.82019OpenAlexW2003669808MaRDI QIDQ2737870

Ofer Zeitouni, Jean-Dominique Deuschel, Erwin Bolthausen

Publication date: 30 August 2001

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

Full work available at URL: https://www.zora.uzh.ch/id/eprint/22071/1/1.533184.pdf

zbMATH Keywords

wetting transitionharmonic crystalweak pinninghard wall condition

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

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Cites Work

• Entropic repulsion of the lattice free field. II: The \(0\)-boundary case
• Walks, walls, wetting, and melting
• Pinning of an interface by a weak potential
• Critical large deviations for Gaussian fields in the phase transition regime. I
• Harmonic crystal on the wall: A microscopic approach
• Large-field versus small-field expansions and Sobolev inequalities.
• Entropic repulsion of the lattice free field
• Entropic repulsion for the free field: Pathwise characterization in \(d\geq 3\)