Analyticity for one-dimensional systems with long-range superstable interactions

DOI10.1007/BF01009805zbMath0589.60089MaRDI QIDQ1074236

Enzo Olivieri, D. Capocaccia, Massimo Campanino

Publication date: 1983

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

zbMATH Keywords

unbounded spin systemsinteraction parametersrenormalization group techniquecontinuous particle systems

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (max. 100)

Coulomb and Riesz gases: The known and the unknown ⋮ Equilibrium fluctuations for interacting Brownian particles ⋮ One-dimensional harmonic lattice caricature of hydrodynamics ⋮ Uniqueness of continuum one-dimensional Gibbs states for slowly decaying interactions ⋮ One-dimensional random Ising systems with interaction decay \(r^{- (1+\epsilon)}:\) A convergent cluster expansion ⋮ Uniform bound of the entanglement for the ground state of the one-dimensional quantum Ising model with non-homogeneous transverse field ⋮ Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model ⋮ On a cluster expansion for lattice spin systems: a finite-size condition for the convergence. ⋮ Cluster expansion for \(d\)-dimensional lattice systems and finite-volume factorization properties. ⋮ Free energy density for continuous systems with and without superstability assumptions ⋮ One dimensional spin glasses with potential decay \(1/r^{1+\epsilon}\). Absence of phase transitions and cluster properties ⋮ On the Gibbs states for one-dimensional lattice boson systems with a long-range interaction ⋮ Uniqueness of one-dimensional continuum Gibbs states

Cites Work

• Unnamed Item
• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Random point processes and DLR equations
• Statistical mechanics of a one-dimensional lattice gas
• Superstable interactions in classical statistical mechanics
• On the Rate of Convergence for Countable Markov Chains
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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