On solvable models in classical lattice systems

DOI10.1007/BF01217350zbMath0572.60098OpenAlexW1983108973MaRDI QIDQ1062366

Mark Fannes, André F. Verbeure

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01217350

zbMATH Keywords

variational principlestatistical mechanicsinteraction rangeclassical lattice systems

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Quantum field theory on lattices (81T25) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (6)

Using new approaches to obtain Gibbs measures of Vannimenus model on a Cayley tree ⋮ The one-site distributions of Gibbs states on Bethe lattice are probability vectors of period \(\leq 2\) for a nonlinear transformation. ⋮ Minimal entropy approximation for cellular automata ⋮ Finitely correlated states on quantum spin chains ⋮ Local structure approximation as a predictor of second-order phase transitions in asynchronous cellular automata ⋮ Phase transition and Gibbs measures of Vannimenus model on semi-infinite Cayley tree of order three

Cites Work

• Unnamed Item
• Statistical mechanics of a one-dimensional lattice gas
• Some problems related to Gibbs states, canonical Gibbs states and Markovian time evolutions
• On the annihilation radiation of positrons
• Markov Random Fields and Gibbs Ensembles

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