Harmonic crystal on the wall: A microscopic approach

DOI10.1007/s002200050148zbMath0893.60062OpenAlexW2064379240MaRDI QIDQ1379525

Erwin Bolthausen, Dimitry Ioffe

Publication date: 22 July 1998

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

Full work available at URL: https://doi.org/10.1007/s002200050148

zbMATH Keywords

surface tensionWinterbottom constructiontorsional rigidityrandom walk representation2D Gaussian SOS model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

Related Items (15)

Entropic repulsion and the maximum of the two-dimensional harmonic crystal. ⋮ Entropic repulsion for massless fields. ⋮ Gaussian free fields for mathematicians ⋮ Entropic repulsion for the high dimensional Gaussian lattice field between two walls ⋮ Unnamed Item ⋮ Gaussian free fields for mathematicians ⋮ Wetting on a wall and wetting in a well: overview of equilibrium properties ⋮ On the free energy of a Gaussian membrane model with external potentials ⋮ Scaling limits for weakly pinned Gaussian random fields under the presence of two possible candidates ⋮ Critical region for droplet formation in the two-dimensional Ising model ⋮ Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger ⋮ Entropic repulsion of the lattice free field. II: The \(0\)-boundary case ⋮ Rigorous probabilistic analysis of equilibrium crystal shapes ⋮ Rigorous probabilistic analysis of equilibrium crystal shapes ⋮ Concentration under scaling limits for weakly pinned Gaussian random walks

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