One-dimensional random Ising systems with interaction decay \(r^{- (1+\epsilon)}:\) A convergent cluster expansion

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

zbMATH Keywords

cluster expansion for the free energydecay of truncated correlation functionsGibbs expectationsone-dimensional random Ising model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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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