One-dimensional random-field Ising model: Gibbs states and structure of ground states.

DOI10.1007/BF02174129zbMath1081.82568OpenAlexW1983026090MaRDI QIDQ1593467

Valentin A. Zagrebnov, Jean Ruiz, Pavel M. Bleher

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02174129

zbMATH Keywords

random fieldIsing modelground statesGibbs statesresidual entropy

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) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• The ground state of the three-dimensional random-field Ising model
• Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model
• Gibbs measures and phase transitions