Phase transition in the 1d random field Ising model with long range interaction
From MaRDI portal
Publication:842478
DOI10.1007/s00220-009-0778-4zbMath1173.82011arXiv0804.3672OpenAlexW2094321125MaRDI QIDQ842478
Marzio Cassandro, Pierre Picco, Enza Orlandi
Publication date: 25 September 2009
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.3672
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26)
Related Items
Decimation of the Dyson-Ising ferromagnet ⋮ Phase separation for the long range one-dimensional Ising model ⋮ Contour methods for long-range Ising models: weakening nearest-neighbor interactions and adding decaying fields ⋮ Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model ⋮ Loss of stability in a 1D spin model with a long-range random Hamiltonian ⋮ One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point ⋮ Typical Gibbs configurations for the 1d random field Ising model with long range interaction ⋮ One-Sided Versus Two-Sided Stochastic Descriptions ⋮ Dyson Models Under Renormalization and in Weak Fields ⋮ Critical behaviour of the random-field Ising model with long-range interactions in one dimension ⋮ The roles of random boundary conditions in spin systems ⋮ GROUND STATES OF ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL WITH EXTERNAL FIELD ⋮ GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS ⋮ Phase transitions in ferromagnetic Ising models with spatially dependent magnetic fields ⋮ Entropic repulsion and lack of the \(g\)-measure property for Dyson models ⋮ Decay of correlations in 1D lattice systems of continuous spins and long-range interaction ⋮ Proof of rounding by quenched disorder of first order transitions in low-dimensional quantum systems
Cites Work
- Unnamed Item
- Rounding effects of quenched randomness on first-order phase transitions
- The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
- Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
- The hierarchical random field Ising model.
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Statistical mechanics of lattice systems
- Statistical mechanics of a one-dimensional lattice gas
- Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions
- Statistical Mechanics of Disordered Systems
