On the Ising model with random boundary condition

DOI10.1007/s10955-004-2138-2zbMath1073.82022arXivmath-ph/0408024OpenAlexW2044251756MaRDI QIDQ2487795

H. G. Schaap, Aernout C. D. van Enter, Karel Netočný

Publication date: 8 August 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0408024

zbMATH Keywords

metastatesrandom boundary conditionscontour models

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30)

Related Items (7)

Two connections between random systems and non-Gibbsian measures ⋮ Griffiths-type theorems for short-range spin glass models ⋮ Infinite volume Gibbs states and metastates of the random field mean-field spherical model ⋮ A finite-volume version of Aizenman-Higuchi theorem for the 2D Ising model ⋮ The roles of random boundary conditions in spin systems ⋮ The stochastic Ising model with the mixed boundary conditions ⋮ Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions

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