ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL UNDER WEAK AND SPARSE EXTERNAL FIELD
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Publication:5306242
DOI10.1142/S0217979209053291zbMath1375.82022OpenAlexW2082607527MaRDI QIDQ5306242
Publication date: 8 April 2010
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979209053291
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)
Cites Work
- First order phase transitions in lattice and continuous systems: Extension of Pirogov-Sinai theory
- Gibbs measures and phase transitions
- Disagreement percolation in the study of Markov fields
- A uniqueness condition for Gibbs measures, with application to the 2- dimensional Ising antiferromagnet
- Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
- Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Mean-field driven first-order phase transitions in systems with long-range interactions
- Absence of phase transitions in one-dimensional antiferromagnetic models with long-range interactions
- Statistical mechanics of a one-dimensional lattice gas
- Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions
- A block effect of external field in the one-dimensional ferromagnetical Ising model with long-range interaction
- The relationship between phase transitions and percolation in models with ground-state degeneracy
- PHASE DIAGRAMS OF ONE-DIMENSIONAL MODELS UNDER STRONG RANDOM EXTERNAL FIELD
- The Random-Cluster Model
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