Dyson Models Under Renormalization and in Weak Fields
DOI10.1007/978-981-15-0294-1_5zbMath1446.82086arXiv1702.02887OpenAlexW2615516745MaRDI QIDQ3297360
Bruno Kimura, Arnaud Le Ny, Rodrigo Bissacot, Eric Ossami Endo, Aernout C. D. van Enter, Wioletta M. Ruszel
Publication date: 3 July 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.02887
generalized Gibbs measureshidden phase transitionslong-range Ising modelsslowly decaying correlated external fields
Phase transitions (general) in equilibrium statistical mechanics (82B26) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)
Cites Work
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- Graphical representations for Ising and Potts models in general external fields
- Almost Gibbsianness and parsimonious description of the decimated 2d-Ising model
- Phase transition in the 1d random field Ising model with long range interaction
- The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
- Two connections between random systems and non-Gibbsian measures
- On the convergence of cluster expansions for polymer gases
- Remarks on the global Markov property
- Condensation of a one-dimensional lattice gas
- Gibbs measures and phase transitions
- Correlation inequalities on some partially ordered sets
- Sufficient statistics and extreme points
- Absence of renormalization group pathologies near the critical temperature. Two examples
- Global specifications and nonquasilocality of projections of Gibbs measures
- Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields
- Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
- Percolation, path large deviations and weakly Gibbs states
- Phase transitions in ferromagnetic Ising models with spatially dependent magnetic fields
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Decimation of the Dyson-Ising ferromagnet
- Contour methods for long-range Ising models: weakening nearest-neighbor interactions and adding decaying fields
- Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
- Analytic and clustering properties of thermodynamic functions and distribution functions for classical lattice and continuum systems
- Statistical mechanics of a one-dimensional lattice gas
- Potentials for almost Markovian random fields
- On the Ergodic Properties of Gibbs States for Attractive Specifications
- Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions
- Course 15 Gibbsianness and non-gibbsianness in lattice random fields
- Introduction to (generalized) Gibbs measures
- Existence of compatible families of proper regular conditional probabilities
- Critical Behavior of Several Lattice Models with Long-Range Interaction
- Transformations of one-dimensional Gibbs measures with infinite range interaction
- Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model
- Statistical Mechanics of Lattice Systems
- Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
- Observables at infinity and states with short range correlations in statistical mechanics
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