One-dimensional random Ising systems with interaction decay \(r^{- (1+\epsilon)}:\) A convergent cluster expansion
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Publication:1101145
DOI10.1007/BF01219074zbMath0642.60103OpenAlexW2047979049MaRDI QIDQ1101145
Enzo Olivieri, Massimo Campanino
Publication date: 1987
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01219074
cluster expansion for the free energydecay of truncated correlation functionsGibbs expectationsone-dimensional random Ising model
Related Items (5)
On equivalence of spin and field pictures of lattice systems ⋮ 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 ⋮ Interactions and pressure functionals for disordered lattice systems ⋮ Unnamed Item
Cites Work
- Analyticity for one-dimensional systems with long-range superstable interactions
- Cluster expansion for abstract polymer models
- Absence of phase transitions in certain one-dimensional long-range random systems
- One dimensional spin glasses with potential decay \(1/r^{1+\epsilon}\). Absence of phase transitions and cluster properties
- Infinite differentiability for one-dimensional spin system with long range random interaction
- Random Spin Systems: Some Rigorous Results
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