Entropic repulsion for the high dimensional Gaussian lattice field between two walls

DOI10.1007/s10955-006-9049-3zbMath1135.82308OpenAlexW1972595854MaRDI QIDQ857633

Hironobu Sakagawa

Publication date: 19 December 2006

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

Full work available at URL: https://doi.org/10.1007/s10955-006-9049-3

Mathematics Subject Classification ID

Gaussian processes (60G15) 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)

Related Items (2)

Bounds on the mass for the high dimensional Gaussian lattice field between two hard walls ⋮ No phase transition for Gaussian fields with bounded spins

Cites Work

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• Entropic repulsion of the lattice free field
• Entropic repulsion for the free field: Pathwise characterization in \(d\geq 3\)
• Wall repulsion and mutual interface repulsion: a harmonic crystal model in high dimensions.

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