Entropic repulsion of an interface in an external field

DOI10.1007/s00440-003-0328-5zbMath1078.60088arXivmath/0307043OpenAlexW3100944205MaRDI QIDQ1885326

Yvan Velenik

Publication date: 28 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0307043

zbMATH Keywords

two-dimensional Ising modelanalysis of critical prewettingcomplete wetting regimelinear external potential

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) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (14)

Universality of critical behaviour in a class of recurrent random walks ⋮ Critical prewetting in the 2d Ising model ⋮ Confinement of Brownian polymers under geometric area tilts ⋮ Entropic repulsion for the high dimensional Gaussian lattice field between two walls ⋮ Dynamics of \((2+1)\)-dimensional SOS surfaces above a wall: slow mixing induced by entropic repulsion ⋮ Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor ⋮ Finite size scaling of the dynamical free-energy in a kinetically constrained model ⋮ The shape of the \((2+1)\)D SOS surface above a wall ⋮ Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls ⋮ Dyson Ferrari-Spohn diffusions and ordered walks under area tilts ⋮ Ising model in half-space: a series of phase transitions in low magnetic fields ⋮ An invariance principle to Ferrari-Spohn diffusions ⋮ Local and global geometry of the 2D Ising interface in critical prewetting ⋮ Wetting of gradient fields: pathwise estimates

This page was built for publication: Entropic repulsion of an interface in an external field