Phase transitions in ferromagnetic Ising models with spatially dependent magnetic fields

DOI10.1007/s00220-014-2268-6zbMath1326.82008arXiv1403.7961OpenAlexW2072150834MaRDI QIDQ2018331

Rodrigo Bissacot, Marzio Cassandro, Errico Presutti, Leandro M. Cioletti

Publication date: 14 April 2015

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

Full work available at URL: https://arxiv.org/abs/1403.7961

zbMATH Keywords

phase transitionsmagnetic fieldsIsing model

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Related Items (7)

Graphical representations for Ising and Potts models in general external fields ⋮ Phase transition in ferromagnetic Ising model with a cell-board external field ⋮ Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields ⋮ Contour methods for long-range Ising models: weakening nearest-neighbor interactions and adding decaying fields ⋮ Dyson Models Under Renormalization and in Weak Fields ⋮ The critical 1-arm exponent for the ferromagnetic Ising model on the Bethe lattice ⋮ Infinite DLR measures and volume-type phase transitions on countable Markov shifts

Cites Work

• Unnamed Item
• Typical Gibbs configurations for the 1d random field Ising model with long range interaction
• On the Gibbs phase rule in the Pirogov-Sinai regime
• Rounding effects of quenched randomness on first-order phase transitions
• Phase transition in the 1d random field Ising model with long range interaction
• Semi-infinite Ising model. II: The wetting and layering transitions.
• Scaling limits in statistical mechanics and microstructures in continuum mechanics
• Phase transition in ferromagnetic Ising models with non-uniform external magnetic fields
• Gibbs measures and phase transitions
• Phase uniqueness and correlation length in diluted-field Ising models.
• Graphical representations for Ising systems in external fields
• The hierarchical random field Ising model.
• On the Ising model with strongly anisotropic external field
• Ising model in half-space: a series of phase transitions in low magnetic fields
• Probability on Trees and Networks
• Statistical Mechanics of Disordered Systems

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