Uniqueness and exponential decay of correlations for some two-dimensional spin lattice systems.

DOI10.1007/BF02179793zbMath1042.82520MaRDI QIDQ1593354

Miaohua Jiang, Alexander E. Mazel

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

shift of finite typepolymer expansionLattice spin systemuniqueness of Gibbs state

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

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Cites Work

• Completely analytic interactions with infinite values
• Cluster expansion for abstract polymer models
• Gibbs measures and phase transitions
• High temperature expansions and dynamical systems
• Nonfinite perturbations of Gibbs fields
• Non-uniqueness of measures of maximal entropy for subshifts of finite type
• Spacetime chaos in coupled map lattices
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